Open AccessConvolution and correlation theorems for the two‐dimensional linear canonical transform and its applications
Author(s) -
Feng Qiang,
Li BingZhao
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2015.0028
Subject(s) - convolution (computer science) , canonical correlation , mathematics , correlation , computer science , algorithm , convolution theorem , algebra over a field , fourier transform , pure mathematics , artificial intelligence , statistics , fractional fourier transform , mathematical analysis , fourier analysis , artificial neural network , geometry
Convolution and correlation operations are very important in signal processing community, as well as in sampling, filter design and applications. In this study, the authors derive the convolution and correlation theorems for the two‐dimensional linear canonical transform (2D LCT). Moreover, they utilise the convolution theorem to investigate the sampling theorem for the band limited signal in the 2D LCT domain. They also discuss multiplicative filter for the band limited signal in the 2D LCT domain which has much lower computational load than the method in the 2D LCT domain.