一种新的小波基函数及其在雷达信号特征提取中的应用

为进一步准确估计雷达信号的瞬时频率，在现有Morlet小波基函数的基础上，提出了一种新的Morlet小波基函数（New-Morlet）用于小波脊线的提取。通过深入分析小波脊线原理以及正确提取小波脊线对小波基函数的要求，利用Morlet小波基函数提取雷达辐射源信号的小波脊线特征，从而可以估计出辐射源信号的瞬时频率。将New-Morlet小波与现有的Morlet小波进行对比得出New-Morlet小波具有更好的时-频综合特性。同时，分析了利用小波脊线原理估计信号瞬时频率的迭代算法。仿真结果表明：基于New-Morlet小波基函数的特征提取性能优于现有的Morlet小波基函数，且具有良好的抗噪性能，其方法是有效的。

A New Wavelet Atom and Its Application in Radar Signal Feature Extraction

In order to further improve the precision of estimating the instantaneous frequency in radar signal processing, a new Morlet wavelet atom, based on the known Morlet wavelet atom to extract the signal wavelet ridge feature (WRF) is put forward. By analyzing the wavelet ridge principium and the qualifications of wavelet atom for extracting the WRF rightly in-depth, the WRF of radar emitter signals can be extracted. Consequently, the instantaneous frequency can be estimated. The new -Morlet has better performance of time-frequency colligation character in contrasts with the known Morler wavelet atom. At the same time, the iterative algorithm of estimating the instantaneous frequency is analyzed, which is based on the wavelet ridge principium. The computer simulation experiment results also show that the new-Morlet wavelet atom has better performances in detecting WRF and counteracting noise than the common Morlet wavelet atom. The experiment proves the effectiveness of the method.