Instantaneous frequency estimation based on the linear canonical transform

Xiao Na Xu; Bing Zhao Li; Xiu Ling Ma

doi:10.1016/j.jfranklin.2012.09.014

Instantaneous frequency estimation based on the linear canonical transform

Xiao Na Xu, Bing Zhao Li^*, Xiu Ling Ma

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

24 Citations (Scopus)

Abstract

The relationship between the linear canonical transform power spectrum and signal's phase differentiation operation has been investigated. Based on this relationship, a novel method for solving the instantaneous frequency estimation problem is proposed. The advantage of this method is demonstrated by two examples, namely, signals with and without noise. The proposed method is non-iterative, and it does not need projection or peak-searching.

Original language	English
Pages (from-to)	3185-3193
Number of pages	9
Journal	Journal of the Franklin Institute
Volume	349
Issue number	10
DOIs	https://doi.org/10.1016/j.jfranklin.2012.09.014
Publication status	Published - Dec 2012

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10.1016/j.jfranklin.2012.09.014

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title = "Instantaneous frequency estimation based on the linear canonical transform",

abstract = "The relationship between the linear canonical transform power spectrum and signal's phase differentiation operation has been investigated. Based on this relationship, a novel method for solving the instantaneous frequency estimation problem is proposed. The advantage of this method is demonstrated by two examples, namely, signals with and without noise. The proposed method is non-iterative, and it does not need projection or peak-searching.",

author = "Xu, {Xiao Na} and Li, {Bing Zhao} and Ma, {Xiu Ling}",

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AU - Xu, Xiao Na

AU - Li, Bing Zhao

AU - Ma, Xiu Ling

PY - 2012/12

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N2 - The relationship between the linear canonical transform power spectrum and signal's phase differentiation operation has been investigated. Based on this relationship, a novel method for solving the instantaneous frequency estimation problem is proposed. The advantage of this method is demonstrated by two examples, namely, signals with and without noise. The proposed method is non-iterative, and it does not need projection or peak-searching.

AB - The relationship between the linear canonical transform power spectrum and signal's phase differentiation operation has been investigated. Based on this relationship, a novel method for solving the instantaneous frequency estimation problem is proposed. The advantage of this method is demonstrated by two examples, namely, signals with and without noise. The proposed method is non-iterative, and it does not need projection or peak-searching.

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U2 - 10.1016/j.jfranklin.2012.09.014

DO - 10.1016/j.jfranklin.2012.09.014

M3 - Article

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VL - 349

SP - 3185

EP - 3193

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 10

ER -

Instantaneous frequency estimation based on the linear canonical transform

Abstract

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