
Areas of Teaching Interest
Network Theory, Signals and Systems I, Signals and Systems II, Digital Signal Processing, Advanced Digital Signal Processing, Digital Image Processing, Biomedical Image Processing, Advanced Digital Image Processing
Areas of Research Interest
Signal and Image processing/Fourier analysis, Applied mathematics
Educational Background
Ph.D. Moscow Institute of Physics and Technology (Moscow, FSU).
Selected Publications
(2 patents, 1 invention, 3 books, 3 book chapters, and over 110 publications including 48+ papers in referred journals).
- A.M. Grigoryan, S.S. Agaian, “Evidence of Golden and Aesthetic Proportions in Colors of Paintings of the Prominent Artists,” IEEE MultiMedia, vol 27, no 1, pp.8-16, Jan.-March 2020.
- A.M. Grigoryan, S.S. Agaian, “New Look on Quantum Representation of Images: Fourier Transform Representation,” Quantum Information Processing, p. 26, (March 21, 2020) 19:148.
- A.M. Grigoryan, S.S. Agaian, “Paired Quantum Fourier Transform with log2N Hadamard Gates,” Quantum Information Processing, p.26, (May 25, 2019) 18: 217.
- A.M. Grigoryan, S.S. Agaian, “Color image enhancement via combine homomorphic ratio and histogram equalization approaches: Using underwater images as illustrative examples,” vol. 4, Issue 5, International Journal on Future Revolution in Computer Science & Communication Engineering, pp. 36 – 47, May 18, 2018.
- A.M. Grigoryan, S.S. Agaian, “Image enhancement by elliptic discrete Fourier transforms,” vol. 4, Issue 2, International Journal on Future Revolution in Computer Science & Communication Engineering, pp. 378 – 387, February 18, 2018.
- A.M. Grigoryan, A. John, S.S. Agaian, “Alpha-rooting color image enhancement method by two-side 2D- quaternion discrete Fourier transform followed by spatial transformation,” International Journal of Applied Control, Electrical and Electronics Engineering, vol. 6, no. 1, p.21, February 2018.
- A.M. Grigoryan, A. John, S.S. Agaian, “Modified alpha-rooting color image enhancement method on the two-side 2-D quaternion discrete Fourier transform and the 2-D discrete Fourier transform,” Applied Mathematics and Sciences: An International Journal (MathSJ), vol. 4, no. 1/2, p. 16, June 2017.
- A.M. Grigoryan, A. John, S.S. Agaian, “A Novel color image enhancement method by the transformation of color images to 2-D grayscale images,” International Journal of Signal Processing and Analysis, vol. 2, no. 1, p. 18, 2017.
- A.M. Grigoryan, S.S. Agaian, “New look on ????2????-point fast Fourier transforms,” IEEE Transactions on Signal Processing, vol. 62, Issue 22, pp. 5972-5980, November 2016, (doi: 10.1109/TSP.2016.2598325)
- A.M. Grigoryan, “Solution of the problem on image reconstruction in computed tomography,” Journal of Mathematical Imaging and Vision, vol. 54, Issue 1, pp. 35-63, January 2016.
- A.M. Grigoryan, E.R. Dougherty, S.S. Agaian, “Optimal Wiener and Homomorphic Filtration: Review,” Signal Processing, 121, pp. 111-138, April 2016, (doi:10.1016/j.sigpro.2015.11.006).
- R.Narayanam, A.M. Grigoryan, P.A. Patel, B. Tushara, “Paired faster FFT: Grigoryan FFT implementation and performance on XILINX FPGAS and TMS DSPS,” International Journal of Engineering Sciences & Research Technology, vol. 5, no. 6, pp. 431-444, June 2016.
- A.M. Grigoryan, S.S. Agaian, “Tensor transform-based quaternion Fourier transform algorithm,” Information Sciences, vol. 320, pp. 62–74, 1 November 2015.
- A.M. Grigoryan, S.S. Agaian, “Monotonic sequences for image enhancement and segmentation,” Digital Signal Processing, vol. 41, pp. 70–89, June 2015, (doi:10.1016/j.dsp.2015.02.011)
- A.M. Grigoryan, J. Jenkinson, S.S. Agaian, “Quaternion Fourier transform based alpha-rooting method for color image measurement and enhancement,” Signal Processing, vol. 109, pp. 269-289, April 2015.
- A.M. Grigoryan, “New method of Givens rotations for triangularization of square matrices,” Journal of Advances in Linear Algebra & Matrix Theory (ALAMT) , vol. 4, no. 2, pp. 65-78, June 2014.
- A.M. Grigoryan, S.S. Agaian, “Retooling of color imaging in the quaternion algebra,” Applied Mathematics and Sciences: An International Journal, vol. 1, no. 3, pp. 23-39, December 2014.
- A.M. Grigoryan and S.P.K. Devieni, “New method of signal denoising by the paired transform,” Applied Mathematics and Sciences: An International Journal (MathSJ), vol. 1, no. 2, pp. 1-20, August 2014.
- A.M. Grigoryan and M. Hajinoroozi, “Image and audio signal filtration with discrete Heap transforms,” Applied Mathematics and Sciences: An International Journal (MathSJ), vol. 1, no. 1, pp. 1-18, May 2014.
- A.M. Grigoryan, “Image reconstruction from finite number of projections: Method of transferring geometry,” IEEE Trans. on Image Processing, 22, no. 12, pp. 4738-4751, Dec. 2013.