Sampling and reconstruction of multi-dimensional bandlimited signals in the special affine Fourier transform domain.

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. [ABSTRACT FROM AUTHOR]