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

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

doi:10.3969/j.issn.0372-2112.2018.04.001

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

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- Matching Demodulation Transform with a Kalman Filter for Time-Frequency Analyses
- Acta Electronica Sinica Vol. 46, Issue 4, Pages: 769-774(2018)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61571131)
- DOI：10.3969/j.issn.0372-2112.2018.04.001
  CLC： TN911.7
- Published Online：25 April 2018，
  
  Published：2018
- 稿件说明：
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LI Shu-ya, SHI Ming, ZHANG Jian-qiu. Matching Demodulation Transform with a Kalman Filter for Time-Frequency Analyses[J]. Acta Electronica Sinica, 2018, 46(4): 769-774.
DOI：

LI Shu-ya, SHI Ming, ZHANG Jian-qiu. Matching Demodulation Transform with a Kalman Filter for Time-Frequency Analyses[J]. Acta Electronica Sinica, 2018, 46(4): 769-774. DOI： 10.3969/j.issn.0372-2112.2018.04.001.

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.

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.

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