基于惩罚函数的谐波信号个数估计  

Estimating the Number of Sinusoids by Using the Penalty Function Approach

作　　者：刘园园[1] 边家文[1] 刘永凯[1] 付红伟[1] 王莹[1] 

机构地区：[1]中国地质大学数理学院,武汉430074

出　　处：《工程地球物理学报》2009年第2期235-239,共5页Chinese Journal of Engineering Geophysics

基　　金：国家自然科学基金(编号:60672049)资助;中国地质大学(武汉)优秀青年教师资助计划资助项目(编号:CUGQNL0822)资助

摘　　要：在加性噪声情形下,惩罚函数方法是一种简洁有效的谐波信号个数估计方法。本文将此方法用于乘性和加性噪声并存情形,通过最小化目标函数得到谐波信号个数的估计,并且证明了估计的一致性。模拟实验也证实了该算法在乘性和加性噪声并存情形依然有效。Penalty function based method is a very effective method to estimate the number of sinusoid in presence of additive noise. In this paper, we utilize this method in presence of both additive noise and multiplicative noise, by minimizing the objective function, we obtain the estimator of the number of the sinusoid and we also prove the consistency of this method. Finally, simulation results also verify the effectiveness of this method in presence of both additive noise and multiplicative noise.

关 键 词：惩罚函数 谐波信号 错误检测率 

分 类 号：P628[天文地球—地质矿产勘探] TP3[天文地球—地质学]