电子学报 ›› 2018, Vol. 46 ›› Issue (4): 769-774.DOI: 10.3969/j.issn.0372-2112.2018.04.001

• 学术论文 •    下一篇

时频分析的卡尔曼滤波匹配解调变换法

李淑雅, 施明, 张建秋   

  1. 复旦大学信息科学与工程学院智慧网络与系统研究中心和电子工程系, 上海 200433
  • 收稿日期:2016-09-06 修回日期:2017-03-21 出版日期:2018-04-25
    • 作者简介:
    • 李淑雅 女.1993年3月出生,安徽阜阳人.2014年毕业于复旦大学电子工程系,取得理学学士学位.现为该系硕士生,从事时频分析、图信号处理等有关方面研究.E-mail:gysbtzs2008@hotmail.com;施明 男.1991年7月出生,上海人.2009年在复旦大学电子工程系取得理学学士学位,现为该系本科直博生,从事时频分析、贝叶斯滤波及张量分解技术方面的研究
    • 基金资助:
    • 国家自然科学基金 (No.61571131)

Matching Demodulation Transform with a Kalman Filter for Time-Frequency Analyses

LI Shu-ya, SHI Ming, ZHANG Jian-qiu   

  1. Department of Electronic Engineering and The Research Center of Smart Networks and Systems, School of Information Science and Engineering, Fudan University, Shanghai 200433, China
  • Received:2016-09-06 Revised:2017-03-21 Online:2018-04-25 Published:2018-04-25
    • Supported by:
    • National Natural Science Foundation of China (No.61571131)

摘要: 本文为多分量时频分析,提出了一种卡尔曼滤波的匹配解调变换的分析方法,该方法对信号的局部频率特性进行建模,以模型参数作为状态变量、以时频脊线为观测变量,分别建立起时频分析的状态方程和观测方程,据这些方程并利用卡尔曼滤波就可获得信号的瞬时频率,最后再对信号进行解调变换,就得到了能量高度集中的时频分布.在不同信噪比的情况下,仿真测试表明:本文方法优于现有文献报道方法.

关键词: 时频分析, 卡尔曼滤波, 匹配解调变换

Abstract:

This paper introduces a multi-component time-frequency analysis method, which conducts matching demodulation transform with a Kalman filter. This method builds the model on the local frequency properties of the signal, with model parameters seen as the state variables and the TF ridges treated as the observations. With the state and observation equation established, Kalman filter can be used to estimate the frequency of the signal. Finally, demodulation transform is used to generate a higher energy concentrated time-frequency distribution. The simulation results show our method has a better performance than existing methods under various SNR circumstances.

Key words: time-frequency transform, Kalman filtering, matching demodulation transform

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