Sampling random signals in a fractional Fourier domain

Authors:
Ran Tao;Feng Zhang;Yue Wang
Affiliations:
Department of Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China;Department of Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China;Department of Electronic Engineering, Beijing Institute of Technology, Beijing 100081, China
Venue:
Signal Processing
Year:
2011

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Abstract

In this paper, we consider the sampling and reconstruction schemes for random signals in the fractional Fourier domain. We define the bandlimited random signal in the fractional Fourier domain, and then propose the uniform sampling and multi-channel sampling theorems for the bandlimited random signal in the fractional Fourier domain by analyzing statistical properties of the input and the output signals for the fractional Fourier filters. Our formulation and results are general and include derivative sampling and periodic nonuniform sampling in the fractional Fourier domain for random signals as special cases.