正弦信号参数估计的最小二乘算法  

Method of least squares of parameter estimation for sinusoidal signals

作　　者：孙进才[1] 朱维杰[1] 孙轶源[1] 刘理[1] 

机构地区：[1]西北工业大学航海工程学院,陕西西安710072

出　　处：《哈尔滨工程大学学报》2005年第1期19-23,共5页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(60272077);航空科学基金资助项目 ( 02F53030 );陕西省自然科学基金资助项目(2002F17).

摘　　要：为了提高信号相位匹配原理估计正弦信号参数的精度,提出了一种正弦信号频率、振幅和相位参数的最小二乘估计方法.推导了利用单传感器接收信号的参数估计的最小二乘估计计算公式. 给出了已知频带内的未知频率,振幅和相位的信号参数估计的搜索算法; 分析了最小二乘法使用的方程数、信噪比和采样频率确定后FFT的序列长度对参数估计精度的影响.理论和仿真结果说明,该方法不仅能降低估计频率带宽以外的噪声,还可降低被估计频率信号带宽内的噪声,提高低信噪比时的信号参数估计精度.该算法简单、快速、具有工程应用前景.On the basis of the principle of signal matched-phase, the method of least squares of parameter estimation for sinusoidal signal is presented. The formulas for estimating parameters were derived for signals received by a single sensor. The search method of the unknown frequency, amplitude and phase of a signal in a known frequency range was given. The effect of equation's number needed by using method of least squares, signal to noise ratio and sequence length of fast Fourier transforms (FFT) on parameter estimation accuracy were analyzed by using computer simulation. Theoretical and simulation results show that noise can be suppressed not only out of the estimated frequency range, but in the estimated frequency range as well so that accuracy of the estimated parameters is improved in the case of lower ratio of signal to noise. The method has good prospects in engineering because of its simplicity and time saving.

关 键 词：信号相位匹配原理 正弦信号 参数估计 

分 类 号：TN911.7[电子电信—通信与信息系统]