Jiang, Y.; Gao, N.; Li, H. Randomized Nonuniform Sampling for Random Signals Bandlimited in the Special Affine Fourier Transform Domain. Mathematics2024, 12, 1092.
Jiang, Y.; Gao, N.; Li, H. Randomized Nonuniform Sampling for Random Signals Bandlimited in the Special Affine Fourier Transform Domain. Mathematics 2024, 12, 1092.
Jiang, Y.; Gao, N.; Li, H. Randomized Nonuniform Sampling for Random Signals Bandlimited in the Special Affine Fourier Transform Domain. Mathematics2024, 12, 1092.
Jiang, Y.; Gao, N.; Li, H. Randomized Nonuniform Sampling for Random Signals Bandlimited in the Special Affine Fourier Transform Domain. Mathematics 2024, 12, 1092.
Abstract
The special affine Fourier transform (SAFT) is a useful and powerful analyzing tool in signal processing, optics and communications. In this paper, we mainly discuss the randomized nonuniform sampling and reconstruction for random signals bandlimited in the SAFT domain. First, we show that the nonuniform sampling is identical to the uniform sampling after a pre-filter in the sense of second order statistic characters. Then, we propose an approximate reconstruction based on sinc interpolation for the nonuniform sampling of random signals bandlimited in the SAFT domain. Finally, we give the mean square error estimate for the proposed approximate recovery approach.
Keywords
special affine Fourier transform; nonuniform sampling; random signals; error estimate; approximate recovery
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
