摘要
对于被乘性和加性噪声污染的谐波信号,现有的循环统计量方法是基于Fourier变换实现的,但其频率分辨率不高。本文从确定性的信号模型出发,利用小波在时频分析中精细和灵活的特点,提出了谐波信号小波变换的规范化量图的方法,并建立了该规范化量图与信号参数之间联系。以此为基础,我们提出了基于小波变换的复杂噪声背景中的谐波恢复方法,并通过仿真实验对所提方法的性能进行了验证。
In this paper, we discuss the retrieval of harmonic signal in multiplitive and addtive noises. Among the proposed schemes in the related literatures, cyclic statistics is based on Fourier transform and the corresponding results get relatively low frequency resolution rate. From the state singal model, this paper introduces a novel approach to harmonic retrieval （HR） based on wavelet transforming normalized scalogram, by using of wavelet＇s merits of fineness and flexibility in time--frequency analysis, and then we introduce the relationship between the normalized scalogram and the signal＇s parameters. On this basis, we propose wavelet based approach to harmonic retrieval in complex noises. The simulated results indicate the new scheme performs better in HR problem.
出处
《工程地球物理学报》
2005年第1期22-28,共7页
Chinese Journal of Engineering Geophysics
基金
国家自然科学基金项目(60472062)
湖北省自然科学基金项目(2004ABA038)
中国地质大学(武汉)优秀青年教师资助计划资助项目(cug QNL0520)
关键词
谐波恢复
小波变换
频率估计
规范化量图
harmonic retrieval
wavelet transform
frequency estimation
normalized scalogram
