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SCIENCE CHINA Information Sciences, Volume 64 , Issue 6 : 169302(2021) https://doi.org/10.1007/s11432-020-2909-5

Convolution theorem involving n-dimensional windowed fractional Fourier transform

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  • ReceivedJan 6, 2020
  • AcceptedApr 29, 2020
  • PublishedApr 26, 2021

Abstract

There is no abstract available for this article.


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant No. 61671063) and Foundation for Innovative Research Groups of National Natural Science Foundation of China (Grant No. 61421001).


Supplement

Appendixes A–F.


References

[1] Zhang C, Shi J, Zhang Z. FRFT-Based Interference Suppression for OFDM Systems in IoT Environment. IEEE Commun Lett, 2019, 23: 2068-2072 CrossRef Google Scholar

[2] Tao R, Wang Y. Fractional Fourier Transform and Its Applications. Beijing: Tsinghua University Press, 2009. Google Scholar

[3] Upadhyay S K, Khatterwani K. Fractional wavelet transform through heat equation. J Thermal Stresses, 2019, 42: 1386-1414 CrossRef Google Scholar

[4] Shi J, Zhang N T, Liu X P. A novel fractional wavelet transform and its applications. Sci China Inf Sci, 2012, 55: 1270-1279 CrossRef Google Scholar

[5] Yu S S, Zhou N R, Gong L H. Optical image encryption algorithm based on phase-truncated short-time fractional Fourier transform and hyper-chaotic system. Optics Lasers Eng, 2020, 124: 105816 CrossRef ADS Google Scholar

[6] Zhang Q. Uniqueness guarantees for phase retrieval from discrete windowed fractional Fourier transform. Optik, 2018, 158: 1491-1498 CrossRef ADS Google Scholar

[7] Gao W B, Li B Z. Quaternion windowed linear canonical transform of two-dimensional signals. Adv Appl Clifford Algebr., 2020, 30 https://doi.org/10.1007. Google Scholar

[8] Kamalakkannan R, Roopkumar R. Multidimensional fractional Fourier transform and generalized fractional convolution. Integral Transforms Special Functions, 2020, 31: 152-165 CrossRef Google Scholar

[9] Upadhyay S K, Dubey J K. Wavelet convolution product involving fractional fourier transform. Fractional Calculus Appl Anal, 2017, 20 CrossRef Google Scholar

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