A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform

XIANG Qiang; QIN Kai-yu

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A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform

更新时间：2025-07-16

- A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform
- Acta Electronica Sinica Vol. 39, Issue 7, Pages: 1508-1513(2011)
- 作者机构：
  
  1. 电子科技大学自动化工程学院,四川,成都,610054
  2. 西南民族大学电信学院,四川,成都,610041
  3. 电子科技大学自动化工程学院四川成都,610054
  4. 西南民族大学电信学院四川成都,610041
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.7
- Published：2011
- 稿件说明：
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XIANG Qiang, QIN Kai-yu. A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform[J]. Acta Electronica Sinica, 2011, 39(7): 1508-1513.
DOI：

XIANG Qiang, QIN Kai-yu. A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform[J]. Acta Electronica Sinica, 2011, 39(7): 1508-1513. DOI：

摘要

线性正则变换作为傅里叶变换、分数阶傅里叶变换更为广义的形式

已经在光学和信号处理等领域得到了应用.短时傅里叶变换是一种线性时频分布

避免了其他双线性时频分布中出现的交叉项干扰

是分析时频信号的有力工具.本文从线性正则变换的定义和性质出发

研究了线性正则变换与短时傅里叶变换的时频关系

提出了基于线性正则变换与短时傅里叶变换联合的时频分析方法

避免了交叉项问题能够实现chirp信号干扰抑制和多分量时频信号分离.最后用仿真实例表明

该方法是分析时频信号的有效手段.

Abstract

The linear canonical transform (LCT)

which is a generalization of the Fourier transform and the fractional Fourier transform

has been used in many fields of optics and signal processing.The short-time Fourier transform (STFT) is a kind of linear Time-Frequency Representations (TFRs).Compared with many bilinear TFRs

the STFT does not have the cross-term problem.Because of this advantage

the STFT becomes an important time-frequency analysis tool.Starting with the LCT's definition and its properties

many useful relations between the LCT and the STFT have been derived.Based on these relations

we present a new time-frequency signal analysis method

which has no cross-terms problem.It can be used to realize interference suppression of chirp signals and separate components from a time-frequency signal.Finally the simulation results illustrate the validity of the proposed method.

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