| 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 |
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| 引用本文： | 向强,秦开宇.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[J].电子学报,2011,39(7):1508-1513. |
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| 作者姓名： | 向强 秦开宇 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(No.60672029) |
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| 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.
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| 关 键 词： | 线性正则变换 短时傅里叶变换 时频分析 干扰抑制 信号分离 |
| 收稿时间： | 2010-07-30 |
A Time-frequency Analysis Method Based on Linear Canonical Transform and Short-time Fourier Transform |
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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. |
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| Authors: | XIANG Qiang QIN Kai-yu |
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| Affiliation: | 1. College of Automation,University of Electronic Science and Technology of China,Chengdu,Sichuan 610054,China;2. College of Electrical & Information,Southwest University for Nationalities,Chengdu,Sichuan 610041,China |
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| 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 r... |
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| Keywords: | the linear canonical transform the short-time Fourier transform time-frequency analysis interference suppression signal separation |
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