Convolution and correlation theorems for Wigner-Ville distribution associated with the offset linear canonical transform
作者： Didar Urynbassarova , Bing Zhao Li , Ran Tao
DOI: 10.1016/J.IJLEO.2017.08.099
关键词: Mathematics 、 Mathematical analysis 、 Correlation 、 Fourier transform 、 S transform 、 Fractional Fourier transform 、 Convolution theorem 、 Offset (computer science) 、 Linear canonical transformation 、 Wigner ville
摘要: Abstract The Wigner-Ville distribution associated with the linear canonical transform (WVD-LCT) attracts serious attention in recent literatures. For this, currently, many time-frequency distributions are derived. In this paper, generalization of WVD-LCT offset (WVD-OLCT) is shown. Also various properties and applications, such as detection frequency modulated (LFM) signals established detail. And much important result for that convolution correlation theorems other words, we generalized into WVD-OLCT.
harvard.edu
sci-hub.se 参考文章(26)
Zeev Zalevsky, Haldun M Ozaktas, M Kutay-Alper, The Fractional Fourier Transform: with Applications in Optics and Signal Processing ,(2001)
Ayush Bhandari, Ahmed I. Zayed, Convolution and Product Theorem for the Special Affine Fourier Transform. arXiv: Information Theory. ,(2015)
Zhi-Chao Zhang, New Wigner distribution and ambiguity function based on the generalized translation in the linear canonical transform domain Signal Processing. ,vol. 118, pp. 51- 61 ,(2016) , 10.1016/J.SIGPRO.2015.06.010
Mawardi Bahri, Ryuichi Ashino, Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with Linear Canonical Transform international conference on information technology: new generations. pp. 341- 346 ,(2015) , 10.1109/ITNG.2015.61
Joseph W. Goodman, Introduction to Fourier optics ,(1968)
Adrian Stern, Sampling of compact signals in offset linear canonical transform domains Signal, Image and Video Processing. ,vol. 1, pp. 359- 367 ,(2007) , 10.1007/S11760-007-0029-0
Ronald N. Bracewell, The Hartley transform ,(1986)
Qiang Xiang, KaiYu Qin, Convolution, correlation, and sampling theorems for the offset linear canonical transform Signal, Image and Video Processing. ,vol. 8, pp. 433- 442 ,(2014) , 10.1007/S11760-012-0342-0
Daniel F.V James, Girish S Agarwal, The generalized Fresnel transform and its application to optics Optics Communications. ,vol. 126, pp. 207- 212 ,(1996) , 10.1016/0030-4018(95)00708-3
Soo-Chang Pei, Jian-Jiun Ding, Eigenfunctions of Fourier and Fractional Fourier Transforms With Complex Offsets and Parameters IEEE Transactions on Circuits and Systems. ,vol. 54, pp. 1599- 1611 ,(2007) , 10.1109/TCSI.2007.900182