Manuscript : CSSP-D-20-01292R1
Title : New two-dimensional Wigner distribution and ambiguity function associated with the two-dimensional nonseparable linear canonical transform
Authors : Deyun Wei; Yi Shen
The Code for New two-dimensional Wigner distribution and ambiguity function associated with the two-dimensional nonseparable linear canonical transform is as follows:
/dywei/files/60d72cfb2266d.zip
Representative papers：（form the year 2010 to 2021）
[1] Deyun Wei*, Yuan-Min Li, Generalized sampling expansion with multiple sampling rates for lowpass and bandpass signals in the fractional Fourier domian. IEEE Transactions on Signal Processing. 2016, 64(8), 4861-4974.
[2] Deyun Wei*, et, Convolution and Sampling for the Offset Affine Transform and Their Applications, IEEE Transactions on Signal Processing, 2019, 67(23), 6009-6024.
[3] Deyun Wei*, et, Sparse Discrete Linear Canonical Transform and Its Applications, Signal Processing, 2021, 183, 108046.
[4] et, Deyun Wei*, Double-encrypted watermarking algorithm based on cosine transform and fractional Fourier transform in invariant wavelet domain, Information Science, 2021, 551, 205-227.
[5] Deyun Wei*, et, Lattices Sampling and Sampling rate Conversion of Multidimensional Bandlimited Signals in the Linear Canonical Transform Domain. Journal of the Franklin Institute. 356 (13), 7571-7607, September, 2019.
[6] et, Deyun Wei*, Image Watermarking Based on Matrix Decomposition and Gyrator Transform in Invariant Integer Wavelet Domain, Signal Processing, 2020, 169, 107421.
[7] Deyun Wei*, et, Fractional Stockwell Transform: Theory and Applications, Digital Signal Processing, 2021, S1051-2004(21)00129-9.
[8] et, Deyun Wei*, Robust and reliable image copyright protection scheme using downsampling and block transform in integer wavelet domain, Digital Signal Processing, 2020, 106, 102805.
[9] Deyun Wei*, Yuanmin Li, Novel tridiagonal communting matrices for Types I, IV, V, VIII DCT and DST Matrices. IEEE Signal Processing Letters, 2014, 21(4), 483-487.
[10] Deyun Wei*, Qiwen Ran, et, A convolution and product theorem for the linear canonical transform, IEEE Signal Processing Letters, 2009, 16(10), 853-856.
[11] Deyun Wei*, Qiwen Ran, et, Generalized sampling expansion for bandlimited signals associated with the fractional Fourier transform, IEEE Signal Processing Letters, 2010, 17(6), 595-598.
[12] Deyun Wei*, et, Random Discrete Linear Canonical Transform. Journal of the Optical Society of Americal A-Optics Image Science and Vision. 33 (12), 2470-2476, 2016.
[13] Deyun Wei*, Qiwen Ran, et, Reconstruction of band-limited signals from multichannel and periodic nonuniform samples in the linear canonical transform domain, Optics Communications, 2011, 284, 4307-4315.
[14] Deyun Wei*, Qiwen Ran, et, Multichannel sampling expansion in the linear canonical transform domain and its application to superresolution, Optics Communications, 2011, 284(23), 5424-5429.
[15] Deyun Wei*, Yuanmin Li, Sampling reconstruction of N-dimensional bandlimited images after multilinear filtering in fractional Fourier domain, Optics Communications. 2013, 295, 26-35.
[16] Deyun Wei*, Yuanmin Li, Reconstruction of Multidimensional Bandlimited Signals from Multichannel Samples in the Linear Canonical Transform Domain. IET Signal Processing. 2014,8(6), 647-657. Awarded: 2016 Premium Award for Best Paper in IET Signal Processing
http://digital-library.theiet.org/journals/premium-awards#2016
http://digital-library.theiet.org/content/journals/iet-spr/info/prizes
[17] Deyun Wei*, Qiwen Ran, et, Fractionalization of odd time odd frequency DFT matrix based on the eigenvectors of a novel nearly tridiagonal commuting matrix, IET Signal Processing, 2011, 5(2), 150-156.
[18] Deyun Wei*, Qiwen Ran, et, Multichannel sampling and reconstruction of bandlimited signals in the linear canonical transform domain, IET Signal Processing, 2011, 8(5), 717-727.
[19] Deyun Wei*, Image Super-resolution using the high-order derivative interpolation associated with fractional filter function. IET Signal Processing. 2016, 10(9), 1052-1061.
[20] Deyun Wei*, et, Time-frequency analysis method based on affine Fourier transform and Gabor transform. IET Signal Processing. 11(2), 213-220, April, 2017.
[21] Deyun Wei*, Filterbank Reconstruction of Band-limited Signals from Multichannel Samples Associated with the Linear Canonical Transform. IET Signal Processing. 11(3), 320-331, May, 2017.
: http://scholar.google.com/citations?user=nIakazkAAAAJ&hl=en
Journal article：
2021year
[1] Deyun Wei*, et, Sparse Discrete Linear Canonical Transform and Its Applications, Signal Processing, 2021, 183, 108046.
[2] et, Deyun Wei*, Double-encrypted watermarking algorithm based on cosine transform and fractional Fourier transform in invariant wavelet domain, Information Science, 2021, 551, 205-227.
[3] Deyun Wei*, et, Fractional Stockwell Transform: Theory and Applications, Digital Signal Processing, 2021, S1051-2004(21)00129-9.
2020year
[1] et, Deyun Wei*, Image Watermarking Based on Matrix Decomposition and Gyrator Transform in Invariant Integer Wavelet Domain, Signal Processing, 2020, 169, 107421.
[2] et, Deyun Wei*, Robust and reliable image copyright protection scheme using downsampling and block transform in integer wavelet domain, Digital Signal Processing, 2020, 106, 102805.
2019year
[1] Deyun Wei*, et, Convolution and Sampling for the Offset Affine Transform and Their Applications, IEEE Transactions on Signal Processing, 2019, 67(23), 6009-6024.
[2] Deyun Wei*, et, Lattices Sampling and Sampling rate Conversion of Multidimensional Bandlimited Signals in the Linear Canonical Transform Domain. Journal of the Franklin Institute. 356 (13), 7571-7607, September, 2019. (SCI)
[3] Lina Zhang, Deyun Wei, Dual DCT-DWT-SVD Digital Watermarking Algorithm Based on Particle Swarm Optimization. Multimedia Tools and Applications, 2019. (SCI)
[4] Wenwen Yang, Deyun Wei*, New sampling method associated with arbitrary lattices sampling in the Fourier domain . Optik, 2019. 183: 797-804 (SCI)
2018year
[1] Deyun Wei*, New product and correlation theorems for the offset linear canonical transform and its applications. Optik, 2018. 164: 243-253 (SCI)
2017year
[1] Deyun Wei*, et, Time-frequency analysis method based on affine Fourier transform and Gabor transform. IET Signal Processing. 11(2), 213-220, April, 2017.
[2] Deyun Wei*, Filterbank Reconstruction of Band-limited Signals from Multichannel Samples Associated with the Linear Canonical Transform. IET Signal Processing. 11(3), 320-331, May, 2017.
2016year
[9] Deyun Wei*, Filterbank Reconstruction of Band-limited Signals from Multichannel Samples Associated with the Linear Canonical Transform. IET Signal Processing. Accepted, to be published, 2016, 10.
[8] Deyun Wei*, Ruikui Wang, and Yuan-Min Li, Random Discrete Linear Canonical Transform. J. OPT SOC AM A (JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION). Accepted, to be published, 2016, 11.
[7] Yuan-Min Li, Deyun Wei, Delayed Lagrange neural network for sparse signal reconstruction under compressive sampling, International Journal for Light and Electron Optics, DOI: 10.1016/j.ijleo.2016.05.049, 2016, 5.
[6] Deyun Wei*, Yuan-Min Li, Ruikui Wang, A time-frequency analysis method based on affine Fourier transform and Gabor transform. IET Signal Processing. DOI: 10.1049/iet-spr.2016.0231, 2016, 09.
[5] Deyun Wei*, Image Super-resolution using the high-order derivative interpolation associated with fractional filter function. IET Signal Processing. DOI: 10.1049/iet-spr.2015.0444, 2016, 06.
[4] Yuan-Min Li, Deyun Wei, Signal Reconstruction of Compressed Sensing Based on Recurrent Neural Networks, Optik, 2016, 127(10): 4473–4477.
[3] Deyun Wei*, Yuan-Min Li, Generalized sampling expansion with multiple sampling rates for lowpass and bandpass signals in the fractional Fourier domian. IEEE Transactions on Signal Processing. 2016, 64(8), 4861-4974.
[2] Deyun Wei*, Multi-channel Sampling Expansion for Band-pass Signals without Channels Constraints, Signal Processing-image communication, 2016, 93(8): 4047-4052.
[1] Deyun Wei*, Novel Convolution and Correlation Theorems for the Fractional Fourier Transform, International Journal of Electronics and Communications, 2016, 127(7): 3669-3675.
2015year
[2] Deyun Wei*, Yuanmin Li, The Dual Extensions of Sampling and Series Expansion Theorems for the Linear Canonical Transform, Optik, 2015. 126: 5163-5167(SCI)
[1] Yuanmin Li, Deyun Wei, A generalized smoothing Newton method for the symmetric cone complementarity problem, Applied Mathematics and Computation, 2015, 264: 335–345.(SCI)
2014year
[10] Deyun Wei*, Yuanmin Li, Novel tridiagonal communting matrices for Types I, IV, V, VIII DCT and DST Matrices. IEEE Signal Processing Letters, 2014, 21(4), 483-487. (SCI)
[9] Deyun Wei*, Yuan-Min Li, Generalized Gabor Expansion Associated with Linear Canonical Transform Series, International Journal of Electronics and Communications, 2014, 125, 16, 4394-4397.(SCI)
[8] Deyun Wei*, Yuan-Min Li, Sampling and series expansion for linear canonical transform, Signal Image and Video Processing, 2014, 8, 1095-1101. (SCI)
[7] Deyun Wei*, Yuanmin Li, Generalized Wavelet Transform Based on the Convolution Operator in the Linear Canonical Transform Domain, Optik, 2014, 125, 16, 4491-4496. (SCI)
[6] Deyun Wei*, Yuanmin Li, Multichannel sampling theorem for bandpass signals in the linear canonical transform domian. International Journal for Light and Electron Optics, 2014, 125, 14, 3434-3438.(SCI)
[5] Deyun Wei*, Yuanmin Li, Reconstruction of Multidimensional Bandlimited Signals from Multichannel Samples in the Linear Canonical Transform Domain. IET Signal Processing. 2014,8(6), 647-657. (SCI)
[4] Deyun Wei*, Yuanmin Li, Linear Canonical Wigner Distribution and Its Application, International Journal for Light and Electron Optics, 2014, 125, 1, 89-92. (SCI)
[3] Yuanmin Li, Deyun Wei, Similarity automorphism invariance of some P-properties of linear transformations on Euclidean Jordan algebras, Optim Letter, 2014, 8,7, 2087-2098.(SCI)
[2] Yuanmin Li, Deyun Wei, Solvability based on E-property for the nonlinear symmetric cone complementarity problem, Applied Mathematics and Computation, 2014, 236, 437-449.(SCI)
[1] Yong Li, Xuejun Sha, Deyun Wei, Image scaling algorithm using multichannel sampling in the linear canonical transform domain, Signal Image and Video Processing, 2014, 8(2), 197-204. (SCI)
2013year
[4] Deyun Wei*, Yuanmin Li, Sampling reconstruction of N-dimensional bandlimited images after multilinear filtering in fractional Fourier domain, Optics Communications. 2013, 295, 26-35. (SCI)
[3] Deyun Wei*, Yuanmin Li, Different Forms of Plancherel Theorem for Fractional Quaternion Fourier Transform, International Journal for Light and Electron Optics, 2013, 124, 24, 6999-7002. (SCI)
[2] Deyun Wei*, Qiwen Ran, et, Sampling of bandlimited signals in the linear canonical transform domain, Signal Image and Video Processing, 2013, 7, 575-580. (SCI)
[1] Deyun Wei*, Qiwen Ran, Multiplicative filtering in fractional Fourier domain, Signal Image and Video Processing, 2013, 7, 553-558. (SCI)
2009-2012year
[1] Deyun Wei*, Qiwen Ran, et, A convolution and product theorem for the linear canonical transform, IEEE Signal Processing Letters, 2009, 16(10), 853-856. (SCI)
[2] Deyun Wei*, Qiwen Ran, et, Generalized sampling expansion for bandlimited signals associated with the fractional Fourier transform, IEEE Signal Processing Letters, 2010, 17(6), 595-598. (SCI)
[3] Deyun Wei*, Qiwen Ran, et, Reply to “Comments on ‘A convolution and product theorem for the linear canonical transform’”, IEEE Signal Processing Letters, 2010, 17(6), 617-618. (SCI)
[4] Deyun Wei*, Qiwen Ran, et, Fractionalization of odd time odd frequency DFT matrix based on the eigenvectors of a novel nearly tridiagonal commuting matrix, IET Signal Processing, 2011, 5(2), 150-156. (SCI)
[5] Deyun Wei*, Qiwen Ran, et, Multichannel sampling and reconstruction of bandlimited signals in the linear canonical transform domain, IET Signal Processing, 2011, 8(5), 717-727. (SCI)
[6] Deyun Wei*, Qiwen Ran, et, Reconstruction of band-limited signals from multichannel and periodic nonuniform samples in the linear canonical transform domain, Optics Communications, 2011, 284, 4307-4315. (SCI)
[7] Deyun Wei*, Qiwen Ran, et, Multichannel sampling expansion in the linear canonical transform domain and its application to superresolution, Optics Communications, 2011, 284(23), 5424-5429. (SCI)
[8] Deyun Wei*, Qiwen Ran, et, Sampling of fractional bandlimited signals associated with fractional Fourier transform, International Journal for Light and Electron Optics, 2012, 123(2), 137-139. (SCI,)
[9] Deyun Wei*, Qiwen Ran, et, A convolution and correlation theorem for the linear canonical transform and its application, Circuit System and Signal Processing, 2012, 31(1), 301-312. (SCI)
[10] Deyun Wei*, Qiwen Ran, et, New convolution theorem for the linear canonical transform and its translation invariance property, International Journal for Light and Electron Optics, 2012, 123(16), 1478-1481. (SCI)
[11] Deyun Wei*, Qiwen Ran, et, Sampling of bandlimited signals in the linear canonical transform domain, Signal Image and Video Processing, 2011, DOI: 10.1007/s11760-011-0258-0. (SCI)
[12] Deyun Wei*, Qiwen Ran, Multiplicative filtering in fractional Fourier domain, Signal Image and Video Processing, 2011, DOI: 10.1007/s11760-011-0261-5. (SCI)
[13] Yuanmin Li, Xingtao Wang, Deyun Wei, A new class of smoothing complementarity functions over symmetric cones, Communications in Nonlinear Science and Numerical Simulation, 15, 3299-3305, 2010(SCI)
[14] Yuanmin Li, Xingtao Wang, Deyun Wei, A new class of complementarity functions for symmetric cone complementarity problems, Optimization Letters, 5, 247-257, 2011(SCI)
[15] Yuanmin Li, Xingtao Wangg, Deyun Wei, Improved smoothing Newton methods for symmetric cone complementarity problems, Optimization Letters, 6(3), 471-483, 2012(SCI)
[16] Yuanmin Li, Xingtao Wang, Deyun Wei, A smoothing Newton method for NCPs with the P0-property, Applied Mathematics and Computation, 217, 6917-6925, 2011 (SCI)
[17] Yuanmin Li, Xingtao Wang, Deyun Wei, Complementarity properties of the Lyapunov transformation over symmetric cones, Acta Mathematica Sinica, English Series, 28(7), 1431-1442, 2012(SCI)
会议论文：
2009-2012year
[1] Qiwen Ran, Deyun Wei*, Yong Li, Yuanmin Li,Multichannel sampling expansion in the fractional Fourier transform domain and its application to supreresolution, 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference (CSQRWC), 2011, 1355-1359. (EI, IEEE)
[2] Qiwen Ran, Deyun Wei, Zhongzhao Zhang and Xuejun Sha, Novel nearly tridiagonal commuting matrix and fractionalizations of generalized DFT matrix, 2009 IEEE 22nd Canadian conference on electrical and computer engineering, vols 1 and 2, 555-558 (EI,IEEE)