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加性噪声抵消的对称相关函数法
引用本文:樊养余,陶宝祺,熊克,陈仁文,尚久浩,葛照强.加性噪声抵消的对称相关函数法[J].数据采集与处理,2001,16(3):343-347.
作者姓名:樊养余  陶宝祺  熊克  陈仁文  尚久浩  葛照强
作者单位:西北轻工业学院机械工程系,
基金项目:国家自然科学基金(编号:59635140)资助项目.
摘    要:提出了一种新的噪声抵消方法-对称相关函数法,它利用时频分析中的WVD分布分析实信号时零频处的交叉项包含有原信号的所有信息这一特性,定义了对称相关函数,并从理论上分析了它抵消平稳随机过程中与信号不相关的加性随机噪声的机理。仿真结果证明了该方法的有效性。

关 键 词:加性随机噪声  时频分析  噪声抵消  对称相关函数  信号处理
文章编号:1004-9037(2001)03-0343-05
修稿时间:2000年5月24日

Symmetrical Correlation Function Used to Suppress Additive Noise
Abstract:A new method for symmetrical correlation function used to suppress additive stati onary random noise in harmonic signals is proposed. The function is derived and defined in the special case where the frequency is zero in Wigner -Ville distribution (WVD) of time-frequency analysis and the harmonic signal i s real. In this case, the WVD function includes all the information of the orig inal harmonic signals, such as frequencies, phases and amplitudes. And the addi tive noise embedded in the harmonic signals can be reduced into the WVD functio n. T he function performance to suppress additive stationary random noise is proved a nd analyzed theoretically. Assumption is that the signal and the noise are mutu ally decorrelated. Some examples are shown. Simulational results prove that th e method is more effective and better than conventional cor relation function when it is used to suppress additive noise.
Keywords:additive random noise  time-frequency analysis  suppressing noise  symmetrica l correlation function  Wigner-Ville distribution
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