Sampling random signals in a fractional Fourier domain

Ran Tao; Feng Zhang; Yue Wang

doi:10.1016/j.sigpro.2010.11.006

Sampling random signals in a fractional Fourier domain

Ran Tao^*, Feng Zhang, Yue Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1394-1400
Number of pages	7
Journal	Signal Processing
Volume	91
Issue number	6
DOIs	https://doi.org/10.1016/j.sigpro.2010.11.006
Publication status	Published - Jun 2011

Keywords

Fractional Fourier transform
Fractional correlation
Fractional power spectrum
Multi-channel sampling
Periodic nonuniform sampling
Random signals

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10.1016/j.sigpro.2010.11.006

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title = "Sampling random signals in a fractional Fourier domain",

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.",

keywords = "Fractional Fourier transform, Fractional correlation, Fractional power spectrum, Multi-channel sampling, Periodic nonuniform sampling, Random signals",

author = "Ran Tao and Feng Zhang and Yue Wang",

year = "2011",

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doi = "10.1016/j.sigpro.2010.11.006",

language = "English",

volume = "91",

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T1 - Sampling random signals in a fractional Fourier domain

AU - Tao, Ran

AU - Zhang, Feng

AU - Wang, Yue

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

KW - Fractional Fourier transform

KW - Fractional correlation

KW - Fractional power spectrum

KW - Multi-channel sampling

KW - Periodic nonuniform sampling

KW - Random signals

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DO - 10.1016/j.sigpro.2010.11.006

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SN - 0165-1684

VL - 91

SP - 1394

EP - 1400

JO - Signal Processing

JF - Signal Processing

IS - 6

ER -

Sampling random signals in a fractional Fourier domain

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Keywords

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