Journal Publications (79)

Published in Peer Reviewed Journals

2020-1. A.M. Grigoryan, S.S. Agaian, 1-D Convolution Circuits in Quantum Computation,” International Journal of Scientific & Engineering Research, vol. 11, no. 8, pp-912-916, August 2020 (view at IJSER)

2020-2. A.M. Grigoryan, “Resolution map in quantum computing: signal representation by periodic patterns, Quantum Information Processing, p. 21, (April 27, 2020) 19:177 (view in QIP).

2020-3. 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  (view at IEEE) (doi:10.1109/MMUL.2019.2908624).

2020-4. 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 (view  in QIP).

2019-1. A.M. Grigoryan, S.S. Agaian, “Paired Quantum Fourier Transform with log2N Hadamard Gates,” Quantum Information Processing, p.26, (May 25, 2019) 18: 217 (view at QIP).

2019-2. A.M. Grigoryan, S.S. Agaian, “Novel Method of Color Histogram Equalization: Binding the Colors with Brightness,” International Journal of Scientific & Engineering Research, vol. 10, no. 12, pp-1100-1106, 2019 (view at IJSER)

2018-1. 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 (view at IJFRSCE).

2018-2. 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 (view at IJFRSCE).

2018-3. 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 (view at IJACEEE)

2017-1. A.M. Grigoryan, S.S. Agaian, Image Processing Contrast Enhancement,” Wiley Encyclopedia of Electrical and Electronics Engineering, 22p, Published Online: 15 May 2017 (DOI: 10.1002/047134608X.W5525.pub2) (view at Wiley Online Library)

2017-2. 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 (doi: 10.5121/mathsj.2017.4201) (view at MathSJ).

2017-3.  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 (view at IJSPA)

2016-1. A.M. Grigoryan, S.S. Agaian, New look on q2r-point fast Fourier transforms,” IEEE Transactions on Signal Processing , vol. 62, Issue 22, pp. 5972-5980, November 2016, (doi: 10.1109/TSP.2016.2598325)(view at IEEE)

2016-2.   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. (doi: 10.5281/zenodo.55536) (view at IJESRT)

2016-3.  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. (doi: 10.1007/s10851-015-0588-6) (view at JMIV).

2016-4.   A.M. Grigoryan, E.R. Dougherty, S.S. Agaian, “Optimal Wiener and Homomorphic Filtration: Review,” Signal Processing, vol. 121, pp. 111-138, April 2016, (doi:10.1016/j.sigpro.2015.11.006) (view at SP).

2015-1.    A.M. Grigoryan, S.S. Agaian, “Tensor transform-based quaternion Fourier transform algorithm, Information Sciences (2015), vol. 320, pp. 62–74, 1 November 2015, (doi: http://dx.doi.org/10.1016/j.ins.2015.05.018) (view at IS).

2015-2.    A.M. Grigoryan, S.S. Agaian, “Monotonic sequences for image enhancement and segmentation,”Digital Signal Processing (2015), vol. 41, pp. 70–89, June 2015, (doi:10.1016/j.dsp.2015.02.011) (view at DSP).

2015-3.    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, (doi:10.1016/j.sigpro.2014.11.019) (view at SP).

2014-1.    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 (view at ALAMT).

2014-2.    A.M. Grigoryan and S.S. Agaian, “Retooling of color imaging in the quaternion algebra, Applied Mathematics and Sciences: An International Journal (MathSJ), vol. 1, no. 3, pp. 23-39, December 2014 (view at MathSJ).

2014-3.    A.M. Grigoryan, 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 (view at MathSJ).

2014-4.    A.M. Grigoryan, 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 (view at MathSJ).

1.    A.M. Grigoryan, “Image reconstruction from finite number of projections: Method of transferring geometry,” IEEE Trans. on Image Processing, vol. 22, no. 12, pp. 4738-4751, December 2013 (view at IEEE).

2.    N. Ranganadh, A.M. Grigoryan, P.A. Patel, B. Tushara, “Implementation and performance evaluation of paired transform based Faster FFT: Grigoryan FFT on Xilinx FPGAs and TMS DSPs using MATLAB: SIMULINK and CC Studio,” International Journal of Scientific and Engineering Research, IJSER NASA Astrophysics Database Systems French international journal, vol. 4, no. 8, pp. 373-383, August 2013 (view at IJSER).

3.    N. Ranganadh, A.M. Grigoryan, B. Tushara D, “Implementation of FFT by using MATLAB: SIMULINK on Xilinx Virtex-4 FPGAs: Performance of a Paired Transform Based FFT,” International Journal of Advanced Computer Research, vol. 3, no. 2, issue 10, pp. 72-78, June-2013 (view at Computer Science).

4.    N. Ranganadh, P.A. Patel, A.M. Grigoryan, “Case study of Grigoryan FFT onto FPGAs and DSPs,” IJFCC – International Journal of Future Computer and Communication, vol. 2, no. 6, pp. 678-681. December 2013 (view at Computer Science).

4a-related.     N. Ranganadhm, N.R. Dhanavath, “A TMS DSP processor based case study of Grigoryan FFT performance over Cooley-Tukey FFT (TMS320C5416, TMS320C5515),” Asian Journal of Current Engineering and Maths, vol 2, no 1, pp. 50-52, January-February 2013 (view at Computer Science).

4b-related.     N. Ranganadh and B.D. Tushara, “Performance evaluations of Grigoryan FFT and Cooley-Tukey FFT onto Xilinx Virtex-II Pro and Virtex-5 FPGAs,” International Conference on Signal, Image Processing and Pattern Recognition , AIRCC-Springer-SIPP-2013, February-2013, Bangalore, India (view at Computer Science).

4c-related.     N. Ranganadh and M. Guravaiah, “Performance Case study of Grigoryan FFT over Cooley-Tukey FFT using TMS DSP Processors,” International Journal of Advanced Computer Research, vol. 2, no 4, issue 6, pp. 452-457, December 2012 (view at Computer Science).

5.    N. Ranganadh, P.A. Patel, A.M. Grigoryan “Case study of Grigoryan FFT onto FPGAs and DSPs”, TMS320C6X DSPs and Virtex II Pro FPGAs,” International Journal of Future Computer and Communication (IJFCC), 2012 (view at Computer Science)

6.    R. Narayanam, P. Parimal, A.M. Grigoryan, “Performances of Texas Instruments DSP and Xilinx FPGAs for Cooley-Tukey and Grigoryan FFT algorithms,” SOURCE Journal of Engineering & Technology, vol. 1, Issue 2, p.83, July 2011 (view at EBSCO).

7.    A.M. Grigoryan, “Two classes of elliptic discrete Fourier transforms: Properties and examples,” Journal of Mathematical Imaging and Vision (0235), vol. 39, pp. 210-229, January 2011 (view at Springer).

8.    A.M. Grigoryan, Nan Du, Principle of superposition by direction images,” IEEE Trans. on Image Processing, vol. 20, no. 9, pp. 2531-2541, September 2011 (view at IEEE).

9.    A.M. Grigoryan, Nan Du, “Comments on “Generalised finite Radon transform for N×N images”,” IMAVIS, vol. 29, no 11, pp. 797-801, November 2011. (view at Image and Vision Computing)

10.    A.M. Grigoryan, “Comments on “The discrete periodic Radon transform”,” IEEE Trans. on Signal Processing, vol. 58, no. 11, pp. 5962-5963, Nov 2010 (view at IEEE)

11.    A.M. Grigoryan and Nan Du, 2-D images in frequency-time representation: Direction images and resolution map, Journal of Electronic Imaging, vol. 19, no. 3 (033012), July-September 2010 (view at JEI)

12.    Nan Du, A.M. Grigoryan, Paired transform method of image reconstruction from projections, in book Object Modeling, Algorithms and Applications, Editors: R.P. Barneva. V. Brimkov, R.M. Natal Jorge, and J.R.S. Tavares, Research Publishing, June 18, 2010 (view at PRS)

13.    S. Dursun and A.M. Grigoryan, Nonlinear L2-by-3 transform for PAPR reduction in OFDM systems,” Computer and Electrical Engineering, vol. 36 (6), pp. 1055-1065, November 2010 (view at CEE)

14.    A.M. Grigoryan, 16-point reversible integer discrete Fourier transform with 12 control bits, IEEE Trans. on Signal Processing, vol. 58, no. 2, pp. 912-916, February 2010 (view at IEEE)

15.    A.M. Grigoryan and K. Naghdali, “On a method of paired representation: Enhancement and decomposition by series direction images, Journal of Mathematical Imaging and Vision, vol. 34, no. 2, pp. 185-199, June 2009 (view at Springer)

16.    A.M. Grigoryan, M.M. Grigoryan, “Discrete signal induced unitary transforms,” in book Computer and Simulation in Modern Science (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.

17.    A.M. Grigoryan, “Novel reversible integer Fourier transform with control bits,” IEEE Trans. on Signal Processing, Nov. 2007, vol. 55, no. 11, pp. 5267-5276 (view at IEEE)

18.    F.T. Arslan, A.M. Grigoryan, “Fast splitting alpha-rooting method of image enhancement: Tensor representation,” IEEE Trans. on Image Processing, Nov. 2006, vol. 15, no. 11, pp. 3375-3384 (view at IEEE)

19.    A.M. Grigoryan, “Representation of the Fourier transform by Fourier series,” Journal of Mathematical Imaging and Vision, vol. 25, no. 1, pp. 87-105, July 2006 (view at Springer)

20.    A.M. Grigoryan, “Fourier transform representation by frequency-time wavelets,” IEEE Trans. on Signal Processing, July 2005, vol. 53, no. 7, pp. 2489-2497 (view at IEEE )

21.    A.M. Grigoryan, “An algorithm for calculation of the discrete cosine transform by paired transform,” IEEE Trans. on Signal Processing, January 2005, vol. 53, no. 1, pp. 265-273 (view at IEEE )

21(a).    ———, “Author Corrections to “An algorithm for calculation of the discrete cosine transform by paired transform”,” ECE Dept. UTSA, Aug. 25, 2005. (View pdf-file 29kB)

22.  A.M. Grigoryan, V.S. Bhamidipati, “Method of flow graph simplification for the 16-point discrete Fourier transform,” ECE Dept. UTSA, Dec. 12, 2018. (Renewed pdf-file 147kB

22.    A.M. Grigoryan, V.S. Bhamidipati, “Method of flow graph simplification for the 16-point discrete Fourier transform,” IEEE Trans. on Signal Processing, January 2005, vol. 53, no. 1, pp. 384-389 (view at IEEE)

23.    A.M. Grigoryan, “A novel algorithm for computing the 1-D discrete Hartley transform,” IEEE Signal Processing Letters, vol. 11, no. 2, pp. 156-159, Feb. 2004 (view at IEEE)

24.    A.M. Grigoryan, “Method of paired transforms for reconstruction of images from projections: Discrete model,” IEEE Trans. on Image Processing, Sep. 2003, vol. 12, no. 9, pp. 985-994 (view at IEEE )

25.    A.M. Grigoryan, “Efficient algorithms for computing the 2-D hexagonal Fourier transforms,” IEEE Transaction on Signal Processing, June 2002, vol. 50, no. 6, pp. 1438-1448 (view at IEEE)

26.    A.M. Grigoryan, G. Hostetter, O.P. Kallioniemi, and E.R. Dougherty, “Simulation toolbox for 3D-FISH spot counting algorithms,” Real Time Imaging, vol. 8, no 3, pp. 203-212, June 2002 (view at ScienceDirect

27.    A.M. Grigoryan, E.R. Dougherty, J. Kononen, L. Bubendorf, G. Hostetter, and O.P. Kallioniemi,  “Morphological spot counting from stacked images for automated analysis of gene copy numbers by fluorescence in situ hybridization,” Biomedical Optics, January 2002, vol. 7, no. 1, pp. 109-122 (view at SPIE)

28.    A.M. Grigoryan, E.R. Dougherty, “Bayesian robust optimal linear filters,” Signal Processing, vol. 81, no. 12, pp 2503-2521, December 2001 (view at ScienceDirect)

29.    C.L. Andersen, G.H. Hostetter, A.M. Grigoryan, G. Sauter, A. Kallioniemi, “Improved procedure for fluorescence in situ hybridization on tissue microarrays,” Cytometry 2001, 45, pp. 83-86 (view at Citometry)  

30.    A.M. Grigoryan, E.R. Dougherty, “Optimization of linear filters under power-spectral-density stabilization,” IEEE Transaction on Signal Processing, October 2001, vol. 49, no. 10, pp. 2292-2300 (view at IEEE)

31.    A.M. Grigoryan, S.S. Agaian, “Shifted Fourier transform based tensor algorithms for 2-D DCT,” IEEE Transaction on Signal Processing, Sep. 2001, vol. 49, no. 9, pp. 2113-2126 ( view at IEEE)

32.    A.M. Grigoryan, “2-D and 1-D multi-paired transforms: frequency-time type wavelets,” IEEE Transaction on Signal Processing, February 2001, vol. 49, no. 2, pp. 344-353 (view at IEEE

33.    S.S.Agaian, K.P. Lentz, and A.M. Grigoryan, “Transform-based image enhancement algorithms,” IEEE Transaction on Image Processing, March 2001, vol. 10, no. 3, pp. 367-382 (view at IEEE)

34a.    A.M. Grigoryan, S.S. Agaian, “Method of fast 1-D paired transforms for computing the 2-D discrete Hadamard transform,” IEEE Transactions on Circuits and Systems II, January 2001, vol. 48, no. 1 (view at IEEE)

34c.    A.M. Grigoryan, S.S. Agaian, “Efficient algorithm for computing the 2-D discrete Hadamard transform,” IEEE Transactions on Circuits and Systems II, December 2000, vol. 47, no. 12, pp. 1399-1404 (view at IEEE)

34b.    A.M. Grigoryan, S.S. Agaian, “Method of fast 1-D paired transforms for computing the 2-D discrete Hadamard transform,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, October 2000, vol. 47, no. 10, pp. 1098-1103 view at IEEE)

35.    A.M. Grigoryan, S.S. Agaian, “Efficient algorithm for computing the 2-D discrete Hadamard transform,” IEEE Transactions on Circuits and Systems II, October 2000, vol. 47, no. 10, pp. 1098-1103.

36.    A.M. Grigoryan, S.S. Agaian, “Split manageable efficient algorithm for Fourier and Hadamard transforms,” IEEE Transaction on Signal Processing, January 2000, vol. 48, no. 1, pp. 172-183. (view at IEEE)

37.    A.M. Grigoryan, E.R. Dougherty, “Design and analysis of robust binary filters in the context of a prior distribution for the states of nature,” Journal of Mathematical Imaging and Vision 11, pp. 239-254, 1999. (view at Springer)

38.    A.M. Grigoryan, “Mixed median filters and their properties,” 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 SPIE)

39.    A.M. Grigoryan, E.R. Dougherty, “Robustness of optimal filters,” Journal of Electronic Imaging, vol. 7, no. 1, pp. 117-126, January 1998 (view at SPIE).

40.    A.M. Grigoryan, “Quasilinear spaces,” Reports of Armenian National Academy of Science (in Russian), Yerevan, 1997, no 1. 

41.    A.M. Grigoryan, “Vectorial algorithms for computing the two-dimensional discrete Hartley transform,” Reports of Armenian National Academy of Science (in Russian), Yerevan, 1995, no 1, pp. 6-9.

42.    A.M. Grigoryan, “Efficient method of linear filtration,” Reports of Armenian National Academy of Science (in Russian), Yerevan, 1995, no 2, pp. 79-81.

43.    A.M. Grigoryan, S.S. Agaian, “Discrete unitary transforms and their relation to coverings of fundamental periods. Part-I,” In Pattern Recognition and Image Analysis. Advances in Mathematical Theory and Applications, USA. 1994, vol. 1, no 1, pp. 16-22.

44.    A.M. Grigoryan, S.S. Agaian, “Discrete unitary transforms and their relation to coverings of fundamental periods. Part-II,” In Pattern Recognition and Image Analysis. Advances in Mathematical Theory and Applications, USA. 1994, vol. 1, no 2, pp. 23-31.

45.    A.M. Grigoryan, “An algorithm for computing a two-dimensional discrete Fourier transform of arbitrary order,” USSR Computational Mathematics and Mathematical Physics, 1991, vol. 31, no 10, pp. 112-117. (View original pdf-file 1.91MB)

46.    A.M. Grigoryan, “An algorithm of computation of the one-dimensional discrete Hadamard transform,” Izvestiya VUZov SSSR Radioelectronica, USSR, Kiev, 1991, vol. 34, no 8, pp. 100-103.

47.    A.M. Grigoryan, “An algorithm of computation of the one-dimensional discrete Fourier transform,” Izvestiya VUZov SSSR, Radioelectronica. USSR, Kiev, 1988, vol. 31, no 5, pp. 47-52.

48.    A.M. Grigoryan and M.M. Grigoryan, “Algorithm of computerized tomography,” Electronoe Modelirovanie (in Russian), AS USSR, Kiev, 1990, vol. 12, no 4, pp. 96-98.

49.    A.M. Grigoryan and M.M. Grigoryan, “Two-dimensional Fourier transform in the tensor presentation and new orthogonal functions,” Avtometria, AS USSR Siberian section, Novosibirsk, 1986, no 1, pp. 21-27. (View original pdf-file 2.22MB)

50.    A.M. Grigoryan and M.M. Grigoryan, “A new method of image reconstruction from projections,” Electronnoe Modelirovanie (in Russian), AS USSR, Kiev, 1986, vol. 8, no 6, pp. 74-77.

51.    A.M. Grigoryan, “New algorithms for calculating discrete Fourier transforms,” USSR Computational Mathematics and Mathematical Physics, 1986, vol. 26, no 5, pp. 84-88. (view original)

52.    A.M. Grigoryan, “An optimal algorithm for computing the two-dimensional discrete Fourier transform,” Izvestiya VUZov SSSR, Radioelectronica. USSR, Kiev, 1986, vol. 29, no 12, pp. 20-25. (View pdf-file 1.88MB)

53.    A.M. Grigoryan, “Arrangement of zeros in the spectrum of a discrete signal,” Radiotexnika, USSR, Moscow, 1986, no 11, pp. 78-79.

54.    A.M. Grigoryan, “An algorithm of the two-dimensional Fourier transform,” Izvestiya VUZov SSSR, Radioelectronica, USSR, Kiev, 1984, vol. 27, No. 10, pp. 52-57. (View pdf-file 1.91MB)