Sampling rate conversion for linear canonical transform

Juan Zhao; Ran Tao; Yue Wang

doi:10.1016/j.sigpro.2008.06.008

Sampling rate conversion for linear canonical transform

Juan Zhao, Ran Tao^*, Yue Wang

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling rate conversion problem in the LCT domain. Firstly, the discrete-time LCT is introduced and the formulas of interpolation and decimation in the LCT domain are derived. Then, based on the sampling theorem expansion in the LCT domain, the formulas of sampling rate conversion by real factors for the LCT in time domain are proposed. The spectral analysis of sampling rate conversion by real factors in the LCT domain is also illustrated. The sampling rate conversion theories in the Fourier domain and the fractional Fourier domain are shown to be special cases of the achieved results. The simulations verify the effectiveness of the obtained results.

Original language	English
Pages (from-to)	2825-2832
Number of pages	8
Journal	Signal Processing
Volume	88
Issue number	11
DOIs	https://doi.org/10.1016/j.sigpro.2008.06.008
Publication status	Published - Nov 2008

Keywords

Decimation
Interpolation
Linear canonical transform
Sampling rate conversion

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10.1016/j.sigpro.2008.06.008

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title = "Sampling rate conversion for linear canonical transform",

abstract = "The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling rate conversion problem in the LCT domain. Firstly, the discrete-time LCT is introduced and the formulas of interpolation and decimation in the LCT domain are derived. Then, based on the sampling theorem expansion in the LCT domain, the formulas of sampling rate conversion by real factors for the LCT in time domain are proposed. The spectral analysis of sampling rate conversion by real factors in the LCT domain is also illustrated. The sampling rate conversion theories in the Fourier domain and the fractional Fourier domain are shown to be special cases of the achieved results. The simulations verify the effectiveness of the obtained results.",

keywords = "Decimation, Interpolation, Linear canonical transform, Sampling rate conversion",

author = "Juan Zhao and Ran Tao and Yue Wang",

year = "2008",

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doi = "10.1016/j.sigpro.2008.06.008",

language = "English",

volume = "88",

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journal = "Signal Processing",

issn = "0165-1684",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Sampling rate conversion for linear canonical transform

AU - Zhao, Juan

AU - Tao, Ran

AU - Wang, Yue

PY - 2008/11

Y1 - 2008/11

N2 - The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling rate conversion problem in the LCT domain. Firstly, the discrete-time LCT is introduced and the formulas of interpolation and decimation in the LCT domain are derived. Then, based on the sampling theorem expansion in the LCT domain, the formulas of sampling rate conversion by real factors for the LCT in time domain are proposed. The spectral analysis of sampling rate conversion by real factors in the LCT domain is also illustrated. The sampling rate conversion theories in the Fourier domain and the fractional Fourier domain are shown to be special cases of the achieved results. The simulations verify the effectiveness of the obtained results.

AB - The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates the sampling rate conversion problem in the LCT domain. Firstly, the discrete-time LCT is introduced and the formulas of interpolation and decimation in the LCT domain are derived. Then, based on the sampling theorem expansion in the LCT domain, the formulas of sampling rate conversion by real factors for the LCT in time domain are proposed. The spectral analysis of sampling rate conversion by real factors in the LCT domain is also illustrated. The sampling rate conversion theories in the Fourier domain and the fractional Fourier domain are shown to be special cases of the achieved results. The simulations verify the effectiveness of the obtained results.

KW - Decimation

KW - Interpolation

KW - Linear canonical transform

KW - Sampling rate conversion

UR - http://www.scopus.com/inward/record.url?scp=47949105809&partnerID=8YFLogxK

U2 - 10.1016/j.sigpro.2008.06.008

DO - 10.1016/j.sigpro.2008.06.008

M3 - Article

AN - SCOPUS:47949105809

SN - 0165-1684

VL - 88

SP - 2825

EP - 2832

JO - Signal Processing

JF - Signal Processing

IS - 11

ER -

Sampling rate conversion for linear canonical transform

Abstract

Keywords

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