{"id":14,"date":"2017-07-07T20:21:07","date_gmt":"2017-07-07T20:21:07","guid":{"rendered":"http:\/\/utsaengineer.wpengine.com\/faculty-page-example\/?page_id=14"},"modified":"2026-02-06T07:18:01","modified_gmt":"2026-02-06T13:18:01","slug":"publications","status":"publish","type":"page","link":"https:\/\/ceid.utsa.edu\/agrigoryan\/publications\/","title":{"rendered":"Journal Publications"},"content":{"rendered":"<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000080\"><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">2026-1. <\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">A.M. Grigoryan, Unitary operations with five and more qubits: Roadmaps and effective quantum circuits. <strong><em>Information<\/em><\/strong> 2026, 17, 167. (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/17\/2\/167\">view in Information<\/a>)\u00a0<\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000080\"><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">2026-2. <\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">A.M. Grigoryan, Fast computation for square matrix factorization. <strong><em>Computers<\/em><\/strong>\u00a02026,\u00a0<em>15<\/em>, 67. (<a href=\"https:\/\/www.mdpi.com\/2073-431X\/15\/1\/67\">view in Computers<\/a>) <\/span><\/span><\/span><\/span><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000080\"><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">\u00a0(<em><a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/codes\/\">Codes<\/a><\/em>)\u00a0(<em><a href=\"https:\/\/doi.org\/10.20944\/preprints202512.1575.v1\">Preprints<\/a><\/em>)<br \/>\n<\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\">2026-3. Frants, V.; Agaian, S.; Panetta, K.; Grigoryan, A. QWR-Dec-Net: A quaternion-wavelet retinex framework for low-light image enhancement with applications to remote sensing. <strong><em>Information<\/em><\/strong>\u00a02026,\u00a0<em>17<\/em>, 89. (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/17\/1\/89\">view in Information<\/a>)\u00a0<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\">2026-4. Ayunts, H.; Agaian, S.S.; Grigoryan, A.M. Solar photovoltaic system fault classification via hierarchical deep learning with imbalanced multi-class thermal dataset. <strong><em>Energies<\/em><\/strong>\u00a02026,\u00a0<em>19<\/em>, 462. (<a href=\"https:\/\/www.mdpi.com\/1996-1073\/19\/2\/462\">view in Energies<\/a>)\u00a0<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000080\"><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">2025-1. <\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">A.M. Grigoryan, \u201cNew permutation-free quantum circuits for implementing 3- and 4-qubit unitary operations,\u201d <em><strong>Information<\/strong><\/em> 2025, 16, 621, p.33. (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/7\/621\">view in Information<\/a>)<\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000080\"><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">2025-2. <\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">A.M. Grigoryan and M.M. Grigoryan,<\/span> <\/span><span style=\"background-color: #ffffff\"><span style=\"color: #ff6600\"><span style=\"color: #000000\">\u201cGolden ratio function: Similarity fields in the vector space,\u201d <\/span><\/span><\/span><span style=\"background-color: #ffffff\"><strong><span style=\"color: #000000\"><em>Mathematics<\/em><\/span><\/strong> <span style=\"color: #000000\">2025, 13, no. 5, p. 32.<\/span> (<a href=\"https:\/\/www.mdpi.com\/2227-7390\/13\/5\/699\">view in Mathematics<\/a>)<\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-3. A.M. Grigoryan, A.A. Gomez, <span style=\"background-color: #ffffff\">\u201c<\/span>New circuits for simultaneously initiating two different quantum superpositions,<span style=\"color: #000080\"><span style=\"background-color: #ffffff;color: #000000\">\u201d <strong><em>Information<\/em><\/strong><\/span><\/span> 2025, 16, 1043, p. 24,\u00a0 (view in <a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/12\/1043\">Information<\/a>)<\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-4. A.M. Grigoryan, A.A. Gomez,\u00a0 and S.S. Agaian, <span style=\"background-color: #ffffff\">\u201c<\/span>A novel approach to state-to-state transformation in quantum computing,<span style=\"color: #000080\"><span style=\"background-color: #ffffff;color: #000000\">\u201d <strong><em>Information<\/em><\/strong><\/span><\/span> 2025, 16, 689, p. 31. (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/8\/689\">view in Information<\/a>)<br \/>\n<\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\">2025-5. A.M. Grigoryan, A.A. Gomez,<span style=\"color: #000080\">\u00a0<span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cCommutative quaternion algebra with quaternion Fourier transform-based alpha-rooting color image enhancement,\u201d <\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\"><strong><em>Computers<\/em><\/strong><\/span> 2025, 14, 37, p. 26. (<a href=\"https:\/\/www.mdpi.com\/2073-431X\/14\/2\/37\">view in Computers<\/a>)<\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-6. A.M. Grigoryan, S.S. Agaian, and Shao Liu, <span style=\"background-color: #ffffff\">\u201c<\/span>Cognitive computing for understanding and restoring color in Renaissance Art,<span style=\"background-color: #ffffff\">\u201d <\/span><strong><em>Big Data and Cognitive Computing<\/em><\/strong>\u00a02025,\u00a0<em>9<\/em>, 113, p. 30. <a href=\"https:\/\/doi.org\/10.3390\/bdcc9050113\">(view in BDCC)<\/a><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-7. A.M. <\/span>Grigoryan, A. Gomez, A, I. Espinoza, and S.S. Agaian, &#8220;Signal-induced heap transform-based QR-decomposition and quantum circuit for implementing 3-qubit operations<span style=\"color: #000080\"><span style=\"background-color: #ffffff;color: #000000\">\u201d <\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\"><strong><em>Information<\/em><\/strong><\/span> <span style=\"color: #000000\">2025, <\/span><\/span><\/span>16, 466, p. 30. (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/6\/466\">view in Information<\/a>)<br \/>\n<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-8. <\/span>A. Grigoryan, A. Gomez, S. Agaian, and K. Panetta,<span style=\"color: #000080\">\u00a0<span style=\"background-color: #ffffff;color: #000000\">\u201cQuantum edge detection and convolution using paired transform-based image representation,\u201d <\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\"><strong><em>Information<\/em><\/strong><\/span> <span style=\"color: #000000\">2025, 16, 255, p. 24.<\/span> (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/4\/255\">view in Information<\/a>)<\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-9. H, Ayunts, S. Agaian, and <\/span>A. Grigoryan,<span style=\"color: #000000\"> <span style=\"background-color: #ffffff\">\u201c<\/span>A. SlantNet: A lightweight neural network for thermal fault classification in solar PV systems,<span style=\"background-color: #ffffff\">\u201d<\/span><\/span> <em><strong>Electronics<\/strong><\/em> 2025, 14, 1388. p.20. <span style=\"color: #000080\"><span style=\"background-color: #ffffff\">(<a href=\"https:\/\/www.mdpi.com\/2079-9292\/14\/7\/1388\">view in Electronics<\/a>)<\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-10. S. Hovhannisyan,\u00a0 S. Agaian, K. Panetta, A. Grigoryan, <span style=\"background-color: #ffffff\">\u201c<\/span>Thermal video enhancement Mamba: A novel approach to thermal video enhancement for real-world applications<span style=\"background-color: #ffffff\">,\u201d<\/span> <em><strong>Information<\/strong><\/em> 2025, 16, 125, p. 21 (<a href=\"https:\/\/www.mdpi.com\/2078-2489\/16\/2\/125\">view in Information<\/a>)<\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2025-11. Trongtirakul, T.; Panetta, K.; Grigoryan, A.M.; Agaian, S.S. <span style=\"background-color: #ffffff\">\u201c<\/span>A novel entropy-based approach for thermal image segmentation using multilevel thresholding,<span style=\"background-color: #ffffff\">\u201d<\/span> <em><strong>Entropy<\/strong><\/em> 2025, 27, 526, p.29. (<a href=\"https:\/\/www.mdpi.com\/1099-4300\/27\/5\/526\">view in Entropy<\/a>)<br \/>\n<\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2024-1. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\"> <span style=\"background-color: #ffffff\">\u201cQuaternion-based arithmetic in quantum information processing: A Promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing],\u201d <\/span><\/span><em>\u00a0<\/em><strong><em>IEEE Signal Processing Magazine, <\/em><\/strong>vol. 41, no. 2, pp. 64-74, March 2024, doi: 10.1109\/MSP.2023.3327627 (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/10558742?source=authoralert\">view in IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2024-2. H. Ayunts, <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\">\u00a0<span style=\"background-color: #ffffff\">\u201cNovel entropy for enhanced thermal imaging and uncertainty quantification<\/span><span style=\"background-color: #ffffff\">,<\/span><span style=\"background-color: #ffffff\">\u201d<\/span> <\/span>\u00a0<strong><em>Entropy<\/em>, <\/strong>2024, 26, 374\u00a0(<a href=\"https:\/\/www.mdpi.com\/1099-4300\/26\/5\/374#\">view in Entropy<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2024-3. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\">\u00a0<span style=\"background-color: #ffffff\">\u201c3-Qubit circular quantum convolution computation using the Fourier transform with illustrative examples<\/span><span style=\"background-color: #ffffff\">,<\/span><span style=\"background-color: #ffffff\">\u201d<\/span> <\/span><strong><em>Journal of Quantum Computing<\/em>, <\/strong>vol. 6, pp. 1\u201314, 2024 (<a href=\"https:\/\/www.techscience.com\/jqc\/v6n1\/55307\">view in JQC<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2024-4. Liu, S; Agaian, S; and <\/span>Grigoryan, A,<span style=\"color: #000080\">\u00a0<span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cPortraitEmotion3D: A Novel dataset and 3D emotion estimation method for artistic portraiture analysis<\/span><span style=\"background-color: #ffffff\">,<\/span><span style=\"background-color: #ffffff\">\u201d<\/span> <\/span><\/span><strong><em>Applied Sciences<\/em>, <\/strong>vol. 14, 11235, p. 28, 2024 (<a href=\"https:\/\/doi.org\/10.3390\/app142311235\">view in Applied Sciences<\/a>)\u00a0<\/span><\/p>\n<ul style=\"list-style-type: disc\">\n<li style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif\">The PE3D dataset is available on Google Drive 5: <strong>PortraitEmotion3D (PE3D)<\/strong> <a href=\"https:\/\/drive.google.com\/file\/d\/1qJqZUIbQpQiqzlrxa0KtgRTpsHICEI-P\/view?usp=sharing\">Database<\/a><\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2023-1. <\/span>A.M. Grigoryan, S.S. Agaian, <span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cIntroduction to multiplicative group on 2-qubits with quantum color image processing,\u201d <\/span><\/span><strong><em>Quantum Information Processing<\/em><\/strong>, <strong>22<\/strong>, 351,\u00a0 p.34,\u00a0 Sep 21, 2023. doi 10.1007\/s11128-023-04091-1 (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-04091-1\">view in DIP<\/a> )<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2023-2. <\/span>A.M. Grigoryan, S.S. Agaian, <span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cMultiplicative group of quantum representations of signals,\u201d<\/span><\/span> <strong><em>Quantum Information Processing<\/em><\/strong>, p.23, vol: 22. Issue: 1. 2023. (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-022-03765-6\">view in QIP<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\"><span style=\"background-color: #ffffff\"><span style=\"color: #0000ff\"><span style=\"color: #000000\">2023-3. A.M. Grigoryan,<span style=\"color: #000080\"> \u201c<span style=\"color: #000000\">Effective methods of QR-decompositions of square complex matrices by fast discrete signal-induced heap transforms,\u201d<\/span><\/span> vol. 12,\u00a0 no. 4, pp. 87-110,<\/span><strong><span style=\"color: #333333\"><span style=\"color: #000080\"><em> Advances in Linear Algebra &amp; Matrix Theory (ALAMT)<\/em>.<\/span> <\/span><\/strong><\/span><\/span><\/span>\u00a0(Oct. 26, 2023) (<a href=\"https:\/\/www.scirp.org\/journal\/paperinformation.aspx?paperid=128553\">view in ALAMT <\/a>).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2022-1. <\/span>A.M. Grigoryan,\u00a0S.S. Agaian,<span style=\"color: #000000\"> <span style=\"background-color: #ffffff\">\u201c<span style=\"color: #000000\">Commutative quaternion algebra and DSP fundamental properties: Quaternion convolution and Fourier transform<\/span><\/span><span style=\"background-color: #ffffff\">,<\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">\u201d <\/span><strong><em>Signal Processing<\/em><\/strong>, vol. 196, 2022, 108533, p. 14<\/span><\/span>, (<a href=\"https:\/\/doi.org\/10.1016\/j.sigpro.2022.108533\">view at SP<\/a>)\u00a0.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2022-2. <\/span>A.M. Grigoryan, S.S. Agaian, <span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cQuantum representation of 1-D signals on the unit circle,\u201d<\/span><\/span> <strong><em>Quantum Information Processing<\/em><\/strong>, \u00a0<strong>21<\/strong>, 24 (2022). (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-021-03237-3\">view in QIP<\/a>).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2022-4. <\/span>A.M. Grigoryan, S.S. Agaian<span style=\"color: #000000\">, <\/span><span style=\"color: #000080\"><span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cAn efficient calculation of quaternion correlation of signals and color images<\/span><span style=\"background-color: #ffffff\">,<\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">\u201d<\/span><\/span><span style=\"background-color: #ffffff\"><span style=\"color: #000000\">arXiv<\/span><\/span><strong><span style=\"background-color: #ffffff\"><span style=\"color: #000000\"><b>,<\/b><\/span><\/span><\/strong><\/span> p. 14, (May 12, 2022) <a href=\"https:\/\/arxiv.org\/abs\/2205.05113\">https:\/\/arxiv.org\/abs\/2205.05113<\/a> <\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2022-5. <\/span>A.M. Grigoryan<span style=\"font-family: times new roman, times, serif\">, S.S.\u00a0<\/span><span style=\"background-color: #ffffff\"><span style=\"font-family: times new roman, times, serif\">Agaian,<span style=\"color: #000000\"> \u201cAlgorithm<\/span><\/span><span style=\"color: #000000\"><span style=\"font-family: 'times new roman', times, serif\">\u00a0and circuit of nesting doubled qubits<\/span><\/span><\/span><span style=\"color: #000000\"><span style=\"font-family: 'times new roman', times, serif;background-color: #ffffff\">,<\/span><span style=\"font-family: 'times new roman', times, serif;background-color: #ffffff\">\u201d<\/span><\/span><span style=\"font-family: times new roman, times, serif\"> \u00a0arXiv, p. 10, (Jan 7, 2022) <\/span><a style=\"font-family: 'times new roman', times, serif\" href=\"https:\/\/arxiv.org\/abs\/2201.00256\">http:\/\/arXiv:2201.00256<\/a><span style=\"font-family: times new roman, times, serif\"> .<\/span><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2021-1. <\/span><strong>A.M. Grigoryan<\/strong>, S.S. Agaian, <span style=\"color: #000000\"><span style=\"background-color: #ffffff\">\u201cColor-coded symbology and new computer vision tool to predict the historical color pallets of the Renaissance Oil Artworks,\u201d<\/span> arXiv,<\/span> p. 16, (March 27, 2021)\u00a0 <a href=\"https:\/\/arxiv.org\/abs\/2103.00238v1\">arXiv:2103.00238v1<\/a>.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2020-1. <\/span>A.M. Grigoryan, <span style=\"color: #000000\"><span style=\"background-color: #ffffff\"><span style=\"background-color: #ffffff\">\u201cResolution map in quantum computing: signal representation by periodic patterns,<\/span>\u201d<\/span><\/span> <strong><em>Quantum Information Processing<\/em><\/strong>, p. 21, (April 27, 2020) 19:177 (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-020-02685-7?wt_mc=Internal.Event.1.SEM.ArticleAuthorIncrementalIssue\">view in QIP<\/a>).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2020-2. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\"> <span style=\"background-color: #ffffff\">\u201c<\/span>1-D Convolution circuits in quantum computation<span style=\"background-color: #ffffff\">,\u201d<\/span>\u00a0<\/span><em><strong>International Journal of Scientific &amp; Engineering Research<\/strong>, <\/em>vol. 11, no. 8<em>, <\/em>pp-912-916, August 2020 (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2021\/02\/Art2IJSER_1DConvolution-Circuit-in-Quantum.pdf\">view at IJSER<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2020-3. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\"><span style=\"background-color: #ffffff\"> \u201cEvidence of golden and aesthetic proportions in colors of paintings of the prominent Artists,\u201d<\/span><\/span> <em><strong>IEEE MultiMedia<\/strong><\/em>, vol 27, no 1, pp.8-16, Jan.-March 2020\u00a0 (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/8678387?source=authoralert\">view at IEEE<\/a>) (doi:10.1109\/MMUL.2019.2908624).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2020-4. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #800000;background-color: #ffffff\"> \u201cNew look on quantum representation of images: Fourier transform representation,\u201d <\/span><strong><em>Quantum Information Processing<\/em><\/strong>, p. 26, (March 21, 2020) 19:148 (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-020-02643-3\">view<\/a> <a href=\"https:\/\/rdcu.be\/b3aL9\">\u00a0in QIP<\/a>).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2019-1. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000;background-color: #ffffff\"> \u201cPaired quantum Fourier transform with log<sub>2<\/sub>N Hadamard gates,\u201d <\/span><strong><em>Quantum Information Processing<\/em><\/strong>, p.26, (May 25, 2019) 18: 217 (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11128-019-2322-6\">view at QIP<\/a>).<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">2019-2. <\/span>A.M. Grigoryan, S.S. Agaian,<span style=\"color: #000000\"> \u201cNovel method of color histogram equalization: binding the colors with brightness,\u201d<\/span> <em><strong>International Journal of Scientific &amp; Engineering Research<\/strong>, <\/em>vol. 10, no. 12<em>, <\/em>pp-1100-1106, 2019 (<a href=\"https:\/\/www.ijser.org\/onlineResearchPaperViewer.aspx?Novel-Method-of-Color-Histogram-Equalization-Binding-the-Colors-with-Brightness.pdf\">view at IJSER<\/a>)<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\">2018-1.\u00a0A.M. Grigoryan, S.S. Agaian, \u201cColor image enhancement via combine homomorphic ratio and histogram equalization approaches: Using underwater images as illustrative examples,\u201d\u00a0 vol. 4, Issue 5, <em>International Journal on Future Revolution in Computer Science &amp; Communication Engineering<\/em>, pp. 36 \u2013 47, May 18, 2018 <span style=\"color: #000000;font-family: times new roman,times,serif\">(<a href=\"http:\/\/www.ijfrcsce.org\/download\/browse\/Volume_4\/May_18_Volume_4_Issue_5\/1526466285_16-05-2018.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">view at IJFRSCE<\/a>).<\/span><br \/>\n<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif\">2018-2.A.M. Grigoryan, S.S. Agaian, \u201cImage enhancement by elliptic discrete Fourier transforms,\u201d\u00a0 vol. 4, Issue 2, <em>International Journal on Future Revolution in Computer Science &amp; Communication Engineering<\/em>, pp. 378 \u2013 387,\u00a0February 18, 2018 <span style=\"color: #000000;font-family: times new roman,times,serif\">(<a href=\"http:\/\/www.ijfrcsce.org\/download\/browse\/Volume_4\/February_18_Volume_4_Issue_2\/1520502021_08-03-2018.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">view at IJFRSCE<\/a>).<\/span><br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2018-3. A.M. Grigoryan, A. John, S.S. Agaian, \u201cAlpha-rooting color image enhancement method by two-side 2D-quaternion discrete Fourier transform followed by spatial transformation,\u201d <em>International Journal of Applied Control, Electrical and Electronics Engineering<\/em>, vol. 6, no. 1, p.21, February 2018\u00a0<a href=\"http:\/\/airccse.com\/ijaceee\/papers\/6118ijaceee01.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">(view at IJACEEE)<\/a><\/span><\/p>\n<p><span style=\"color: #780000;font-family: 'times new roman', times, serif;font-size: 1rem\"><span style=\"color: #000000;font-family: times new roman,times,serif\">2017-1.<\/span> <\/span><span style=\"color: #000000\"><span style=\"font-family: 'times new roman', times, serif\">A.M. Grigoryan<\/span><span style=\"font-family: 'times new roman', times, serif;font-size: 1rem\">, S.S. Agaian, <span style=\"color: #000000\"><span style=\"font-family: 'times new roman', times, serif\">\u201c<\/span>Image Processing Contrast Enhancement<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span> <\/span><\/span><strong><i style=\"font-family: 'times new roman', times, serif;font-size: 1rem\">Wiley Encyclopedia of Electrical and Electronics Engineering,<\/i><\/strong><span style=\"font-family: 'times new roman', times, serif;font-size: 1rem\"> 22p, Published Online: 15 May 2017 (DOI: 10.1002\/047134608X.W5525.pub2) <a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/047134608X.W5525.pub2\/abstract\" target=\"_blank\" rel=\"noopener noreferrer\">(view at Wiley Online Library)<\/a><\/span><\/span><\/p>\n<div align=\"justify\">\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2017-2. A.M. Grigoryan, A. John, S.S. Agaian, <\/span><span style=\"font-family: 'times new roman', times, serif\">\u201cModified alpha-rooting color image enhancement method on the two-side 2-D quaternion discrete Fourier transform and the 2-D discrete Fourier transform<strong><span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span><\/strong><\/span><span style=\"color: #000000;font-family: times new roman,times,serif\"><i>\u00a0<strong>Applied Mathematics and Sciences: An International Journal<\/strong> (MathSJ),<\/i> vol. 4, no. 1\/2, p. 16, June 2017 (doi: 10.5121\/mathsj.2017.4201) (<a href=\"http:\/\/airccse.com\/mathsj\/papers\/4217mathsj01.pdf\">view at MathSJ<\/a>).<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2017-3.\u00a0 A.M. Grigoryan, A. John, S.S. Agaian, <\/span><span style=\"font-family: 'times new roman', times, serif\">\u201cA Novel color image enhancement method by the transformation of color images to 2-D grayscale images<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span><\/span><span style=\"color: #000000;font-family: times new roman,times,serif\"><strong><em>International Journal of Signal Processing and Analysis<\/em><\/strong><i>,<\/i> vol. 2, no. 1, p. 18,\u00a02017\u00a0<a href=\"http:\/\/vibgyorpublishers.org\/content\/ijspa\/fulltext.php?aid=ijspa-2-002\" target=\"_blank\" rel=\"noopener noreferrer\">(view at IJSPA)<\/a><\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">2016-1. A.M. Grigoryan, S.S. Agaian, <span style=\"font-family: 'times new roman', times, serif\">\u201c<\/span>New look on q2<sup>r<\/sup>-point fast Fourier transforms<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span>\u00a0<strong><i>IEEE Transactions on Signal Processing<\/i> <\/strong><\/span>, vol. 62, Issue 22, pp. 5972-5980, November 2016, (doi: 10.1109\/TSP.2016.2598325)(<a href=\"https:\/\/ieeexplore.ieee.org\/document\/7533451\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2016-2.\u00a0 \u00a0R. Narayanam, A.M. Grigoryan, P.A. Patel, B. Tushara, <span style=\"color: #800080\"><span style=\"color: #000000\">\u201cPaired faster FFT: Grigoryan FFT implementation and performance on XILINX FPGAS and TMS DSPS<\/span><span style=\"font-family: 'times new roman', times, serif\"><span style=\"color: #000000\">,\u201d<\/span><\/span><\/span><i><strong>International Journal of Engineering Sciences &amp; Research Technology<\/strong>,<\/i> vol. 5, no. 6, pp. 431-444, June, 2016. (doi: 10.5281\/zenodo.55536) (<a href=\"http:\/\/www.ijesrt.com\/issues%20pdf%20file\/Archive-2016\/June-2016\/54_PAIRED%20FASTER%20FFT%20GRIGORYAN%20FFT%20IMPLEMENTATION%20AND%20PERFORMANCE%20ON%20XILINX%20FPGAS%20AND%20TMS%20DSPS.pdf\">view at IJESRT<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2016-3.\u00a0 A.M. Grigoryan, <span style=\"color: #800000\"><strong>\u201cSolution of the problem on image reconstruction in computed tomography<span style=\"font-family: times new roman,times,serif\"><span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><\/span><\/strong><\/span><strong><i>Journal of Mathematical Imaging and Vision<\/i><\/strong>, vol. 54, Issue 1, pp. 35-63, January 2016. (doi: 10.1007\/s10851-015-0588-6) (<a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10851-015-0588-6\">view at JMIV<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2016-4.\u00a0\u00a0 A.M. Grigoryan, E.R. Dougherty, S.S. Agaian, \u201c<strong><span style=\"color: #008080\">Optimal Wiener and Homomorphic Filtration: Review<\/span><\/strong><span style=\"font-family: 'times new roman', times, serif\"><span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span><\/span>\u00a0<i><strong>Signal Processing<\/strong>,<\/i> vol. 121, pp. 111-138, April 2016, (doi:10.1016\/j.sigpro.2015.11.006) (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0165168415003862\">view at SP<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2015-1.\u00a0\u00a0\u00a0 A.M. Grigoryan, S.S. Agaian, \u201cTensor transform-based quaternion Fourier transform algorithm,<span style=\"font-family: 'times new roman', times, serif\">\u201d<\/span> <strong><i>Information Sciences <\/i><\/strong> (2015), vol. 320, pp. 62\u201374, 1 November 2015, (doi: http:\/\/dx.doi.org\/10.1016\/j.ins.2015.05.018) (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0020025515003771\">view at IS<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2015-2.\u00a0\u00a0\u00a0 A.M. Grigoryan, S.S. Agaian, <\/span><span style=\"font-family: 'times new roman', times, serif\">\u201cMonotonic sequences for image enhancement and segmentation<strong><span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><\/strong><\/span><span style=\"color: #000000;font-family: times new roman,times,serif\"><strong><i>Digital Signal Processing <\/i><\/strong> (2015), vol. 41, pp. 70\u201389, June 2015, (doi:10.1016\/j.dsp.2015.02.011) (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S1051200415000688\">view at DSP<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2015-3.\u00a0\u00a0\u00a0 A.M. Grigoryan, J. Jenkinson, S.S. Agaian, \u201cQuaternion Fourier transform based alpha-rooting method for color image measurement and enhancement<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span>\u00a0<strong><i>Signal Processing,<\/i> <\/strong>vol. 109, pp. 269-289, April 2015, (doi:10.1016\/j.sigpro.2014.11.019) (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0165168414005581\">view at SP<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2014-1.\u00a0\u00a0\u00a0 A.M. Grigoryan, <span style=\"color: #0000ff\"><strong>\u201cNew method of Givens rotations for triangularization of square matrices<span style=\"font-family: times new roman,times,serif\"><span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><\/span><\/strong><\/span><i><strong>Journal of Advances in Linear Algebra &amp; Matrix Theory (ALAMT)<\/strong> ,<\/i> vol. 4, no. 2, pp. 65-78, June 2014 (<a href=\"http:\/\/www.scirp.org\/journal\/PaperInformation.aspx?PaperID=45910\">view at ALAMT<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2014-2.\u00a0\u00a0\u00a0 A.M. Grigoryan and S.S. Agaian, \u201cRetooling of color imaging in the quaternion algebra,<span style=\"font-family: 'times new roman', times, serif\">\u201d<\/span>\u00a0<i><strong>Applied Mathematics and Sciences: An International Journal<\/strong> (MathSJ), <\/i> vol. 1, no. 3, pp. 23-39, December 2014 (<a href=\"http:\/\/airccse.com\/mathsj\/papers\/1314mathsj02.pdf\">view at MathSJ<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2014-3.\u00a0\u00a0\u00a0 A.M. Grigoryan, S.P.K. Devieni, \u201cNew method of signal denoising by the paired transform,&#8221; <i> Applied Mathematics and Sciences: An International Journal (MathSJ), <\/i> vol. 1, no. 2, pp. 1-20, August 2014 (<a href=\"http:\/\/airccse.com\/mathsj\/papers\/1214mathsj01.pdf\">view at MathSJ<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2014-4.\u00a0\u00a0\u00a0 A.M. Grigoryan, M. Hajinoroozi, \u201cImage and audio signal filtration with discrete Heap transforms,&#8221; <i> Applied Mathematics and Sciences: An International Journal (MathSJ), <\/i> vol. 1, no. 1, pp. 1-18, May 2014 (<a href=\"http:\/\/airccse.com\/mathsj\/papers\/1114mathsj01.pdf\">view at MathSJ<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">1.\u00a0\u00a0\u00a0 A.M. Grigoryan, \u201cImage reconstruction from finite number of projections: Method of transferring geometry<span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><i><strong>IEEE Trans. on Image Processing<\/strong>,<\/i> vol. 22, no. 12, pp. 4738-4751, December 2013 (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/6576891\">view at IEEE<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">2.\u00a0\u00a0\u00a0 N. Ranganadh, A.M. Grigoryan, P.A. Patel,\u00a0B. Tushara, \u201cImplementation and performance evaluation of paired transform based Faster FFT: Grigoryan FFT on Xilinx FPGAs and TMS DSPs using MATLAB: SIMULINK and CC Studio,&#8221; <i> International Journal of Scientific and Engineering Research, <\/i> IJSER NASA Astrophysics Database Systems French international journal, vol. 4, no. 8, pp. 373-383, August 2013 (<a href=\"https:\/\/www.researchgate.net\/publication\/259530806_Implementation_and_performance_evaluation_of_paired_transform_based_Faster_FFT_Grigoryan_FFT_on_Xilinx_FPGAs_and_TMS_DSPs_using_MATLAB_SIMULINK_and_CC_Studio\">view at IJSER<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">3.\u00a0\u00a0\u00a0 N. Ranganadh, A.M. Grigoryan, B. Tushara D, \u201cImplementation of FFT by using MATLAB: SIMULINK on Xilinx Virtex-4 FPGAs: Performance of a Paired Transform Based FFT,&#8221; <i> International Journal of Advanced Computer Research, <\/i> vol. 3, no. 2, issue 10, pp. 72-78, June-2013 (<a href=\"https:\/\/www.semanticscholar.org\/paper\/Implementation-of-FFT-by-using-MATLAB%3A-SIMULINK-on-Narayanam-Grigoryan\/ff175a6a7fc326e99225f2ae8ba6fba29b397370\">view at Computer Science<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">4.\u00a0\u00a0\u00a0 N. Ranganadh, P.A. Patel,\u00a0A.M. Grigoryan, \u201cCase study of Grigoryan FFT onto FPGAs and DSPs,&#8221; <i> IJFCC &#8211; International Journal of Future Computer and Communication,<\/i> vol. 2, no. 6, pp. 678-681. December 2013 (<a href=\"https:\/\/www.semanticscholar.org\/paper\/Case-Study-of-Grigoryan-FFT-onto-FPGAs-and-DSPs-Ranganadh-Patel\/fcedd90e3262394711488fd286d15e0a663f68d7\">view at Computer Science<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\"> 4a-related. \u00a0\u00a0\u00a0 N. Ranganadhm, N.R. Dhanavath, \u201cA TMS DSP processor based case study of Grigoryan FFT performance over Cooley-Tukey FFT (TMS320C5416, TMS320C5515),&#8221; <i> Asian Journal of Current Engineering and Maths, <\/i> vol 2, no 1, pp. 50-52, January-February 2013 (<a href=\"https:\/\/www.semanticscholar.org\/paper\/A-TMS-DSP-PROCESSOR-BASED-CASE-STUDY-OF-GRIGORYAN-Ranganadh-Dhanavath\/f66e035abf9585f26d67a04c309933c05826e4ab\">view at Computer Science<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\"> 4b-related. \u00a0\u00a0\u00a0 N. Ranganadh and B.D. Tushara, \u201cPerformance evaluations of Grigoryan FFT and Cooley-Tukey FFT onto Xilinx Virtex-II Pro and Virtex-5 FPGAs,&#8221; <i>International Conference on Signal, Image Processing and Pattern Recognition , <\/i> AIRCC-Springer-SIPP-2013, February-2013, Bangalore, India (<a href=\"https:\/\/www.semanticscholar.org\/paper\/Performance-Evaluations-of-GRIORYAN-FFT-and-FFT-PRO-Ranganadh-BinduTushara\/3e87ba9e9f5c77714ac3890d2eaac7ab1560e6c8\">view at Computer Science<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\"> 4c-related. \u00a0\u00a0\u00a0 N. Ranganadh and M. Guravaiah, &#8220;Performance Case study of Grigoryan FFT over Cooley-Tukey FFT using TMS DSP Processors,&#8221; <i> International Journal of Advanced Computer Research, <\/i> vol. 2, no 4, issue 6, pp. 452-457, December 2012 (<a href=\"https:\/\/www.semanticscholar.org\/paper\/Performance-Evaluations-of-GRIORYAN-FFT-and-FFT-PRO-Ranganadh-BinduTushara\/3e87ba9e9f5c77714ac3890d2eaac7ab1560e6c8\">view at Computer Science<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\"> 5.\u00a0\u00a0\u00a0 N. Ranganadh, P.A. Patel, A.M. Grigoryan, \u201cCase study of Grigoryan FFT onto FPGAs and DSPs\u201d, TMS320C6X DSPs and Virtex II Pro FPGAs,&#8221; International Journal of Future Computer and Communication (IJFCC), 2012 (<a href=\"https:\/\/www.semanticscholar.org\/paper\/Case-Study-of-Grigoryan-FFT-onto-FPGAs-and-DSPs-Ranganadh-Patel\/fcedd90e3262394711488fd286d15e0a663f68d7\">view at Computer Science<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">6.\u00a0\u00a0\u00a0 R. Narayanam, P. Parimal,\u00a0A.M. Grigoryan, &#8220;Performances of Texas Instruments DSP and Xilinx FPGAs for Cooley-Tukey and Grigoryan FFT algorithms,&#8221; <i> SOURCE Journal of Engineering &amp; Technology,<\/i> vol. 1, Issue 2, p.83, July 2011 (<a href=\"http:\/\/connection.ebscohost.com\/c\/articles\/79966223\/performances-texas-instruments-dsp-xilinx-fpgas-cooley-tukey-grigoryan-fft-algorithms\">view at EBSCO<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">7.\u00a0\u00a0\u00a0 A.M. Grigoryan, <span style=\"color: #008080\"><strong>\u201c<\/strong><\/span><strong><span style=\"color: #008080\">Two classes of elliptic discrete Fourier transforms: Properties and examples<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span><\/span><\/strong> <i><strong>Journal of Mathematical Imaging and Vision<\/strong> (0235),<\/i> vol. 39, pp. 210-229, January 2011 (<a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10851-010-0235-1?null\">view at Springer<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">8.\u00a0\u00a0\u00a0 A.M. Grigoryan, Nan Du, <span style=\"color: #800000\"><strong>\u201c<\/strong><strong>Principle of superposition by direction images<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span><\/strong><\/span> <strong><i>IEEE Trans. on Image Processing,<\/i><\/strong> vol. 20, no. 9, pp. 2531-2541, September 2011 (<a href=\"http:\/\/ieeexplore.ieee.org\/xpl\/articleDetails.jsp?tp=&amp;arnumber=5732694&amp;contentType=Journals+%26+Magazines&amp;searchWithin%3Dp_Authors%3A.QT.Grigoryan%2C+A.M..QT.%26sortType%3Ddesc_p_Publication_Year%26searchField%3DSearch_All\">view at IEEE<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">9.\u00a0\u00a0\u00a0 A.M. Grigoryan, Nan Du, \u201cComments on \u201cGeneralized finite Radon transform for N\u00d7N images\u201d,\u201d <i>IMAVIS, <\/i> vol. 29, no 11, pp. 797-801, November 2011. (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0262885611000497\">view at Image and Vision Computing<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">10.\u00a0\u00a0\u00a0 A.M. Grigoryan, &#8220;Comments on \u201cThe discrete periodic Radon transform\u201d,\u201d <strong><i>IEEE Trans. on Signal Processing,<\/i><\/strong> vol. 58, no. 11, pp. 5962-5963, Nov 2010 (<a href=\"http:\/\/ieeexplore.ieee.org\/xpl\/articleDetails.jsp?tp=&amp;arnumber=5512683&amp;contentType=Journals+%26+Magazines&amp;searchWithin%3Dp_Authors%3A.QT.Grigoryan%2C+A.M..QT.%26sortType%3Ddesc_p_Publication_Year%26searchField%3DSearch_All\">view at IEEE<\/a>) <\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">11.\u00a0\u00a0\u00a0 A.M. Grigoryan and Nan Du, <span style=\"color: #000000;font-family: times new roman,times,serif\">\u201c<\/span>2-D images in frequency-time representation: Direction images and resolution map,<span style=\"color: #000000;font-family: times new roman,times,serif\">\u201d<\/span> <i><strong>Journal of Electronic Imaging<\/strong>,<\/i> vol. 19, no. 3 (033012), July-September 2010 (<a href=\"https:\/\/www.spiedigitallibrary.org\/journals\/Journal-of-Electronic-Imaging\/volume-19\/issue-3\/033012\/Two-dimensional-images-in-frequency-time-representation--direction-images\/10.1117\/1.3483906.full?SSO=1\">view at JEI<\/a><\/span>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">12.\u00a0\u00a0\u00a0 Nan Du,\u00a0A.M. Grigoryan, <span style=\"color: #000000;font-family: times new roman,times,serif\">\u201c<\/span>Paired transform method of image reconstruction from projections,<span style=\"color: #000000;font-family: times new roman,times,serif\">\u201d<\/span> in book <i>Object Modeling, Algorithms and Applications,<\/i> Editors: R.P. Barneva. V. Brimkov, R.M. Natal Jorge, and J.R.S. Tavares, <i>Research Publishing,<\/i> June 18, 2010 <\/span> (<a href=\"http:\/\/www.rpsonline.com.sg\/books\/iwcia10.html\">view at PRS<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">13.\u00a0\u00a0\u00a0 S. Dursun and <strong>A.M. Grigoryan<\/strong>, <span style=\"color: #000000;font-family: times new roman,times,serif\">\u201c<\/span>Nonlinear L2-by-3 transform for PAPR reduction in OFDM systems,&#8221; <i> Computer and Electrical Engineering,<\/i> vol. 36 (6), pp. 1055-1065, November 2010 <\/span> (<a href=\"http:\/\/dx.doi.org\/10.1016\/j.compeleceng.2010.03.008\">view at CEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">14.\u00a0\u00a0\u00a0 A.M. Grigoryan, <span style=\"color: #000000;font-family: times new roman,times,serif\">\u201c<\/span><strong><span style=\"color: #800000\">16-point reversible integer discrete Fourier transform with 12 control bits<\/span><\/strong>,<span style=\"color: #000000;font-family: times new roman,times,serif\">\u201d<\/span> <i>IEEE Trans. on Signal Processing,<\/i> vol. 58, no. 2, pp. 912-916, February 2010 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=5276840&amp;isnumber=5379139&amp;punumber=78&amp;k2dockey=5276840@ieeejrns&amp;query=%28+grigoryan+a.m.%3Cin%3Eau%29&amp;pos=2&amp;access=no\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">15.\u00a0\u00a0\u00a0 A.M. Grigoryan and K. Naghdali, &#8220;On a method of paired representation: Enhancement and decomposition by series direction images,<span style=\"color: #000000;font-family: times new roman,times,serif\">\u201d<\/span> <i>Journal of Mathematical Imaging and Vision,<\/i> vol. 34, no. 2, pp. 185-199, June 2009 <\/span> (<a href=\"https:\/\/www.researchgate.net\/publication\/220145891_On_a_Method_of_Paired_Representation_Enhancement_and_Decomposition_by_Series_Direction_Images\">view at Springer<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">16.\u00a0\u00a0\u00a0 A.M. Grigoryan, M.M. Grigoryan, &#8220;<strong><span style=\"color: #993366\">Discrete signal induced unitary transforms<\/span><\/strong>,&#8221; in book <\/span> <a href=\"http:\/\/www.wseas.us\/e-library\/conferences\/2008\/tomos\/tomos\/tomos03.pdf\"><i>Computer and Simulation in Modern Science<\/i><\/a> <span style=\"color: #000000\">(Editor-in-Chief: Prof. Nikos Mastorakis), vol. 1, pp. 26-31, Mathematics and Computers in Science and Engineering, A series of Reference Books and Textbooks, WSEAS Press, 2008.<\/span><\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">17.\u00a0\u00a0\u00a0 A.M. Grigoryan, &#8220;<strong><span style=\"color: #800000\">Novel reversible integer Fourier transform with control bits<\/span><\/strong>,&#8221; <i>IEEE Trans. on Signal Processing,<\/i> Nov. 2007, vol. 55, no. 11, pp. 5267-5276 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=4352124&amp;isnumber=4352109&amp;punumber=78&amp;k2dockey=4352124@ieeejrns&amp;query=%28grigoryan+a.+m.%3Cin%3Eau%29&amp;pos=0\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">18.\u00a0\u00a0\u00a0 F.T. Arslan,\u00a0A.M. Grigoryan, &#8220;Fast splitting alpha-rooting method of image enhancement: Tensor representation,&#8221; <i>IEEE Trans. on Image Processing,<\/i> Nov. 2006, vol. 15, no. 11, pp. 3375-3384 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=1709982&amp;isnumber=36077&amp;punumber=83&amp;k2dockey=1709982@ieeejrns&amp;query=%28grigoryan+a.+m.%3Cin%3Eau%29&amp;pos=0\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">19.\u00a0\u00a0\u00a0 A.M. Grigoryan, &#8220;<strong><span style=\"color: #800080\">Representation of the Fourier transform by Fourier series<\/span><\/strong>,&#8221; <i>Journal of Mathematical Imaging and Vision,<\/i> vol. 25, no. 1, pp. 87-105, July 2006 <\/span> (<a href=\"http:\/\/dx.doi.org\/10.1007\/s10851-006-5150-0\">view at Springer<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">20.\u00a0\u00a0\u00a0 A.M. Grigoryan, &#8220;<strong><span style=\"color: #800080\">Fourier transform representation by frequency-time wavelets<\/span><\/strong>,&#8221; <i>IEEE Trans. on Signal Processing,<\/i> July 2005, vol. 53, no. 7, pp. 2489-2497 <\/span> (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/1453781\">view at IEEE<\/a> )<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">21.\u00a0\u00a0\u00a0 A.M. Grigoryan, &#8220;An algorithm for calculation of the discrete cosine transform by paired transform,&#8221; <i>IEEE Trans. on Signal Processing,<\/i> January 2005, vol. 53, no. 1, pp. 265-273 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=1369668&amp;isnumber=29977&amp;punumber=78&amp;k2dockey=1369668@ieeejrns&amp;query=%28grigoryan+a.+m.%3Cin%3Eau%29&amp;pos=1\">view at IEEE<\/a> )<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">21(a).\u00a0\u00a0\u00a0 &#8212;&#8212;&#8212;, &#8220;Author Corrections to &#8220;An algorithm for calculation of the discrete cosine transform by paired transform&#8221;,&#8221;<\/span> ECE Dept. UTSA, Aug. 25, 2005. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/art_correction_tsp01470c2.pdf\">View pdf-file 29kB<\/a><span style=\"color: #000000\">)<\/span><\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">22.\u00a0 <strong>A.M. Grigoryan<\/strong>, V.S. Bhamidipati, &#8220;Method of flow graph simplification for the 16-point discrete Fourier transform,&#8221;<\/span>\u00a0ECE Dept. UTSA, Dec. 12, 2018. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2018\/12\/Art-sp01958-renewed.pdf\">Renewed pdf-file 147kB<\/a><span style=\"color: #000000\">)\u00a0<\/span><\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">22.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, V.S. Bhamidipati, &#8220;Method of flow graph simplification for the 16-point discrete Fourier transform,&#8221; <i>IEEE Trans. on Signal Processing,<\/i> January 2005, vol. 53, no. 1, pp. 384-389 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=1369682&amp;isnumber=29977&amp;punumber=78&amp;k2dockey=1369682@ieeejrns&amp;query=%28grigoryan+a.+m.%3Cin%3Eau%29&amp;pos=0\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">23.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, &#8220;A novel algorithm for computing the 1-D discrete Hartley transform,&#8221; <i>IEEE Signal Processing Letters,<\/i> vol. 11, no. 2, pp. 156-159, Feb. 2004 <\/span> (<a href=\"http:\/\/ieeexplore.ieee.org\/search\/srchabstract.jsp?arnumber=1261967&amp;isnumber=28210&amp;punumber=97&amp;k2dockey=1261967@ieeejrns&amp;query=%28grigoryan+a.+m.%3Cin%3Eau%29&amp;pos=2\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">24.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, &#8220;<strong><span style=\"color: #800080\">Method of paired transforms for reconstruction of images from projections: Discrete model<\/span><\/strong>,&#8221; <i>IEEE Trans. on Image Processing,<\/i> Sep. 2003, vol. 12, no. 9, pp. 985-994 <\/span> (<a href=\"https:\/\/ieeexplore.ieee.org\/stamp\/stamp.jsp?arnumber=1221753\">view at IEEE<\/a> )<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\"><span style=\"color: #000000\">25.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, &#8220;Efficient algorithms for computing the 2-D hexagonal Fourier transforms,&#8221; <i>IEEE Transaction on Signal Processing,<\/i> June 2002, vol. 50, no. 6, pp. 1438-1448 <\/span> (<a href=\"https:\/\/ieeexplore.ieee.org\/abstract\/document\/1003067\">view at IEEE<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">26.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, G. Hostetter, O.P. Kallioniemi, and E.R. Dougherty, &#8220;Simulation toolbox for 3D-FISH spot counting algorithms,&#8221; <i>Real Time Imaging,<\/i> vol. 8, no 3, pp. 203-212, June 2002 (view at <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1077201401902803\">ScienceDirect<\/a>)\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">27.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, E.R. Dougherty, J. Kononen, L. Bubendorf, G. Hostetter, and O.P. Kallioniemi,\u00a0 \u201cMorphological spot counting from stacked images for automated analysis of gene copy numbers by fluorescence in situ hybridization,\u201d <i>Biomedical Optics,<\/i> January 2002, vol. 7, no. 1, pp. 109-122 (<\/span><span style=\"font-family: 'times new roman', times, serif;color: #ff0000\"><a style=\"color: #ff0000\" href=\"https:\/\/www.semanticscholar.org\/paper\/Morphological-spot-counting-from-stacked-images-for-Grigoryan-Dougherty\/4186c3b3bf608faa398f53555036cd7c5c35926e\">view<\/a><\/span><span style=\"color: #000000;font-family: times new roman,times,serif\"> at <a href=\"https:\/\/www.spiedigitallibrary.org\/journals\/journal-of-biomedical-optics\/volume-7\/issue-01\/0000\/Morphological-spot-counting-from-stacked-images-for-automated-analysis-of\/10.1117\/1.1428292.full?SSO=1\">SPIE<\/a><a>) <\/a><\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\">28.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan,<\/strong>\u00a0E.R. Dougherty, &#8220;<span style=\"color: #ff0000\">Bayesian robust optimal linear filters<\/span>,&#8221; <i>Signal Processing,<\/i> vol. 81, no. 12, pp 2503-2521, December 2001 (view at <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S016516840100144X\">ScienceDirect<\/a>)<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\">29.\u00a0\u00a0\u00a0 C.L. Andersen, G.H. Hostetter, <strong>A.M. Grigoryan<\/strong>, G. Sauter,\u00a0A. Kallioniemi, \u201cImproved procedure for fluorescence in situ hybridization on tissue microarrays,\u201d <i>Cytometry<\/i> 2001, 45, pp. 83-86 (view at <a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/1097-0320(20011001)45:2%3C83::AID-CYTO1149%3E3.0.CO;2-P\">Citometry<\/a>)\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-family: times new roman,times,serif\">30.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0E.R. Dougherty, \u201c<span style=\"color: #ff0000\">Optimization of linear filters under power-spectral-density stabilization<\/span>,\u201d <i>IEEE Transaction on Signal Processing,<\/i> October 2001, vol. 49, no. 10, pp. 2292-2300 (view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/950785\">IEEE<\/a><\/span><span style=\"font-family: times new roman,times,serif\">)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">31.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cShifted Fourier transform based tensor algorithms for 2-D DCT,\u201d <i>IEEE Transaction on Signal Processing,<\/i> Sep. 2001, vol. 49, no. 9, pp. 2113-2126 ( view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/942639\">IEEE<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">32.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201c<span style=\"color: #0000ff\">2-D and 1-D multi-paired transforms: frequency-time type wavelets<\/span>,\u201d <i>IEEE Transaction on Signal Processing,<\/i> February 2001, vol. 49, no. 2, pp. 344-353 (view at <span style=\"color: #ff0000\"><a style=\"color: #ff0000\" href=\"https:\/\/ieeexplore.ieee.org\/document\/902116\"><strong><span style=\"color: #339966\">IEEE<\/span><\/strong><\/a><\/span>)\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">33.\u00a0\u00a0\u00a0 S.S.Agaian, K.P. Lentz, and <strong>A.M. Grigoryan<\/strong>, \u201cTransform-based image enhancement algorithms,\u201d IEEE <i>Transaction on Image Processing,<\/i> March 2001, vol. 10, no. 3, pp. 367-382 (view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/908502\"><strong><span style=\"color: #339966\">IEEE<\/span><\/strong><\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">34a.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cMethod of fast 1-D paired transforms for computing the 2-D discrete Hadamard transform,\u201d <i>IEEE Transactions on Circuits and Systems II,<\/i> January 2001, vol. 48, no. 1 (view at <a href=\"https:\/\/ieeexplore.ieee.org\/abstract\/document\/899632\">IEEE<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">34c.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cEfficient algorithm for computing the 2-D discrete Hadamard transform,\u201d <i>IEEE Transactions on Circuits and Systems II,<\/i> December 2000, vol. 47, no. 12, pp. 1399-1404 (view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/877152\">IEEE<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">34b.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cMethod of fast 1-D paired transforms for computing the 2-D discrete Hadamard transform,\u201d <i>IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing,<\/i> October 2000, vol. 47, no. 10, pp. 1098-1103 view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/877152\">IEEE<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">35.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cEfficient algorithm for computing the 2-D discrete Hadamard transform,\u201d <i>IEEE Transactions on Circuits and Systems II,<\/i> October 2000, vol. 47, no. 10, pp. 1098-1103.<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">36.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201c<span style=\"color: #0000ff\">Split manageable efficient algorithm for Fourier and Hadamard transforms<\/span>,\u201d <i>IEEE Transaction on Signal Processing,<\/i> January 2000, vol. 48, no. 1, pp. 172-183. (view at <a href=\"https:\/\/ieeexplore.ieee.org\/document\/815487\">IEEE<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">37.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0E.R. Dougherty, \u201c<span style=\"color: #ff0000\">Design and analysis of robust binary filters in the context of a prior distribution for the states of nature<\/span>,\u201d <i>Journal of Mathematical Imaging and Vision 11,<\/i> pp. 239-254, 1999. (view at <span style=\"color: #ff0000\"><a style=\"color: #ff0000\" href=\"https:\/\/link.springer.com\/article\/10.1023\/A:1008356620614\">Springer<\/a><\/span>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">38.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cMixed median filters and their properties,\u201d Selected SPIE Papers on CD-ROM series, vol. 8: Mathematical Imaging and Vision\/ edited by Dr. Gerhard Ritter, Univ. of Florida, SPIE, December 1999 (view at <a href=\"https:\/\/www.spiedigitallibrary.org\/conference-proceedings-of-spie\/3026\/0000\/Mixed-median-filters-and-their-properties\/10.1117\/12.271131.full\">SPIE<\/a>)<\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">39.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0E.R. Dougherty, \u201c<span style=\"color: #ff0000\">Robustness of optimal filters<\/span>,\u201d <i>Journal of Electronic Imaging,<\/i> vol. 7, no. 1, pp. 117-126, January 1998 (view at <a href=\"https:\/\/www.spiedigitallibrary.org\/journals\/journal-of-electronic-imaging\/volume-7\/issue-1\/0000\/Robustness-of-optimal-binary-filters\/10.1117\/1.482633.full\">SPIE<\/a>). <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">40.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cQuasilinear spaces,\u201d <i>Reports of Armenian National Academy of Science<\/i> (in Russian), Yerevan, 1997, no 1.\u00a0 <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">41.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cVectorial algorithms for computing the two-dimensional discrete Hartley transform,\u201d <i>Reports of Armenian National Academy of Science<\/i> (in Russian), Yerevan, 1995, no 1, pp. 6-9. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">42.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cEfficient method of linear filtration,\u201d <i>Reports of Armenian National Academy of Science<\/i> (in Russian), Yerevan, 1995, no 2, pp. 79-81. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">43.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cDiscrete unitary transforms and their relation to coverings of fundamental periods. Part-I,\u201d In <i>Pattern Recognition and Image Analysis.<\/i> Advances in Mathematical Theory and Applications, USA. 1994, vol. 1, no 1, pp. 16-22. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">44.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>,\u00a0S.S. Agaian, \u201cDiscrete unitary transforms and their relation to coverings of fundamental periods. Part-II,\u201d In <i>Pattern Recognition and Image Analysis.<\/i> Advances in Mathematical Theory and Applications, USA. 1994, vol. 1, no 2, pp. 23-31. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">45.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cAn algorithm for computing a two-dimensional discrete Fourier transform of arbitrary order,\u201d <i>USSR Computational Mathematics and Mathematical Physics,<\/i> 1991, vol. 31, no 10, pp. 112-117. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/jvmmf-1991-Art-2DDFTs.pdf\">View original pdf-file 1.91MB<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">46.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cAn algorithm of computation of the one-dimensional discrete Hadamard transform,\u201d <i>Izvestiya VUZov SSSR Radioelectronica,<\/i> USSR, Kiev, 1991, vol. 34, no 8, pp. 100-103. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">47.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cAn algorithm of computation of the one-dimensional discrete Fourier transform,\u201d <i>Izvestiya VUZov SSSR, Radioelectronica.<\/i> USSR, Kiev, 1988, vol. 31, no 5, pp. 47-52. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">48.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong> and M.M. Grigoryan, \u201cAlgorithm of computerized tomography,\u201d <i>Electronoe Modelirovanie<\/i> (in Russian), AS USSR, Kiev, 1990, vol. 12, no 4, pp. 96-98. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">49.\u00a0\u00a0\u00a0<strong> A.M. Grigoryan<\/strong> and M.M. Grigoryan, \u201cTwo-dimensional Fourier transform in the tensor presentation and new orthogonal functions,\u201d <i>Avtometria, AS USSR Siberian section,<\/i> Novosibirsk, 1986, no 1, pp. 21-27. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/avtm-1986-Art-2DDFTandNOT.pdf\">View original pdf-file 2.22MB<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">50.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong> and M.M. Grigoryan, \u201cA new method of image reconstruction from projections,\u201d <i>Electronnoe Modelirovanie<\/i> (in Russian), AS USSR, Kiev, 1986, vol. 8, no 6, pp. 74-77. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">51.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cNew algorithms for calculating discrete Fourier transforms,\u201d <i>USSR Computational Mathematics and Mathematical Physics,<\/i> 1986, vol. 26, no 5, pp. 84-88. (<a href=\"https:\/\/ceid.utsa.edu\/~grigoryan\/MyPublications\/jvmmf-Art-1986-NewDFT.pdf\">view original<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">52.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cAn optimal algorithm for computing the two-dimensional discrete Fourier transform,\u201d <i>Izvestiya VUZov SSSR, Radioelectronica.<\/i> USSR, Kiev, 1986, vol. 29, no 12, pp. 20-25. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/izv-1986-Art-Opt2DDFT.pdf\">View pdf-file 1.88MB<\/a>) <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">53.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cArrangement of zeros in the spectrum of a discrete signal,\u201d <i>Radiotexnika,<\/i> USSR, Moscow, 1986, no 11, pp. 78-79. <\/span><\/p>\n<p><span style=\"color: #000000;font-family: times new roman,times,serif\">54.\u00a0\u00a0\u00a0 <strong>A.M. Grigoryan<\/strong>, \u201cAn algorithm of the two-dimensional Fourier transform,\u201d <i>Izvestiya VUZov SSSR, Radioelectronica,<\/i> USSR, Kiev, 1984, vol. 27, No. 10, pp. 52-57. (<a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/izv-1984-Art-2DDFT.pdf\">View pdf-file 1.91MB<\/a>) <\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>2026-1. A.M. Grigoryan, Unitary operations with five and more qubits: Roadmaps and effective quantum circuits. Information 2026, 17, 167. (view in Information)\u00a0 2026-2. A.M. Grigoryan, Fast computation for square matrix factorization. Computers\u00a02026,\u00a015, 67. (view in Computers) \u00a0(Codes)\u00a0(Preprints) 2026-3. Frants, V.; Agaian, S.; Panetta, K.; Grigoryan, A. QWR-Dec-Net: A quaternion-wavelet retinex framework for low-light image enhancement &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/publications\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Journal Publications&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Journal Publications - Artyom (Art) Grigoryan<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Journal Publications - Artyom (Art) Grigoryan\" \/>\n<meta property=\"og:description\" content=\"2026-1. 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