Open AccessZak transform and uncertainty principles associated with the linear canonical transform
Author(s) -
Zhang Qingyue
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2015.0514
Subject(s) - fractional fourier transform , fourier transform , signal processing , constant q transform , s transform , hartley transform , mathematics , uncertainty principle , discrete fourier transform (general) , algorithm , short time fourier transform , harmonic wavelet transform , computer science , artificial intelligence , mathematical analysis , fourier analysis , digital signal processing , physics , wavelet transform , quantum mechanics , discrete wavelet transform , wavelet packet decomposition , wavelet , computer hardware , quantum
Several new results about Zak transform and uncertainty principles in the linear canonical transform (LCT) domains are presented. The results obtained rely mainly on relationship between the LCT and the classical Fourier transform. The findings will likely have potential applications in optics and signal processing.