文档介绍:随机信号的功率谱密度估计方法研究
【摘要】对确定性信号进行傅里叶变换是在频率域分析研究的理论基础,但对于随机信号来说,其傅里叶变换并不存在,因此转型研究它的功率谱。这样就可以用功率谱来描述随机信号的频域特性。功率谱是功率谱密度的简称,是自相关函数的傅里叶变换。随机信号的功率谱密度用来描述信号的能量特征随频率的变化关系。对功率谱密度的估计又称功率谱估计。功率谱估计是数字信号处理中的一个重要组成部分,其理论研究已经非常成熟,但是传统的仿真实现由于计算量的庞大而往往令人望而却步。采用功能强大的MATLAB软件对功率谱估计进行仿真,便于深刻理解各种方法的特点,从而在实际工作中做出合理的选择。本文简要介绍了MATLAB仿真软件的基本功能、特点和优势,然后具体介绍了周期图法。
【关键词】自相关函数; 功率谱; MATLAB; 随机信号; 周期图法.
Random signal power spectral density estimation method research
Abstract:Fourier transform of the deterministic signals is the theoretical foundation of the frequency domain analysis, but for random signal, its Fourier transform does not exist, so we change to study the power spectrum. So it can be used to describe the random power spectrum of the signal frequency characteristics 。Power spectrum is the power spectral density abbreviation, is the autocorrelation function of Fourier transformation 。Random signal power spectral density of the energy used to describe the signal characteristics on frequency changes relationship。To power spectral density estimate and says power spectrum estimation 。 Power spectrum estimation is an important part of the digital signal processing whose theory is well established, as the large of calculated quantity of traditional simulation often prevent people to walk more. we emulate several linear power spectrum by using MATLAB software, we could get characteristics of those power spectrum estimation and discussions of these types of power spectrum estimation, pare and analysis them to facilitate a deep understanding of the characteristics of various methods , and make a reasonable choice .in practical work .This paper introduces the basic functions, features and advantages of MATLAB simulation software, then describe the classics power spectrum estimation principle such as cycle graph。
Key words: Autocorrelation function power spectrum estimation MATLAB random signal cycle graph
目录
引言 1
1 绪论 1
功率谱研究的发展过程 1
功率谱估计方法提出 2
功率谱估计应用及用途 2
本课题研究