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微弱正弦信号参数估计算法研究
引用本文:张晓威,何俊发,郑雄波.微弱正弦信号参数估计算法研究[J].数值计算与计算机应用,2012,33(3):221-229.
作者姓名:张晓威  何俊发  郑雄波
作者单位:哈尔滨工程大学理学院,哈尔滨,150001
基金项目:基金项目:国家自然科学基金(10771043),中央高校基本科研业务费专项资金(HEUCF20111116).
摘    要:该文提出了一种强噪声背景下微弱正弦信号频率、幅值与相位三个参数的估计算法.根据离散小波变换,对强噪声背景下采样序列进行预处理,构造N+2个新的序列.对该序列实施离散傅里叶变换,结合序列的构造方式得到了正弦信号频率,相位和幅值的估计算法.仿真实验表明,在不同类型的噪声背景下,该算法具有较高的估计精度与较强的鲁棒性.

关 键 词:正弦信号  小波变换  傅里叶变换  参数估计

THE PARAMETER ESTIMATION ALGORITHM RESEARCH FOR WEAK SINUSOIDAL SIGNAL
Zhang Xiaowei , He Junfa , Zheng Xiongbo.THE PARAMETER ESTIMATION ALGORITHM RESEARCH FOR WEAK SINUSOIDAL SIGNAL[J].Journal on Numerical Methods and Computer Applications,2012,33(3):221-229.
Authors:Zhang Xiaowei  He Junfa  Zheng Xiongbo
Affiliation:Zhang Xiaowei He Junfa Zheng Xiongbo (science school of Harbin Engineering University, Harbin 150001, China)
Abstract:The paper proposes an estimated algorithm of three parameters which includes weak sinusoidal signal frequency, amplitude and phase under strong background noise.It preprocesses the sampled sequence under strong background noise depending on the wavelet transform, and constructs N + 2 new sequence. Get the estimated algorithm of weak sinusoidal signal frequency, amplitude and phase by making discrete Fourier transform to the new sequence, and combining with the way of construction. The simulation results show that this algorithm has high accuracy of estimation and strong robustness under different kinds of strong background noise.
Keywords:Sinusoidal signal  Wavelet transform  Fourier transform  Parameter estimation
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