Affiliation:
1. School of Mathematics and Computing Science Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology Guilin P. R. China
2. Center for Applied Mathematics of Guangxi(GUET) Guilin P. R. China
Abstract
The paper is concerned with the sampling and reconstruction of bandlimited signals in the multi‐dimensional special affine Fourier transform domain. First, we define the multi‐dimensional special affine Fourier transform and establish the convolution theorem. Then, sampling and reconstruction of the multi‐dimensional deterministic bandlimited signals in the special affine Fourier transform domain is studied. Finally, the definition of multi‐dimensional random bandlimited signals in the special affine Fourier transform domain is given and a sampling theorem is demonstrated.
Funder
Natural Science Foundation of Guangxi Province
National Natural Science Foundation of China
Subject
General Engineering,General Mathematics