基于高阶统计的欠采样多信号频率估计

Multiple Frequencies Estimation for Signal Sub-nyquist Sampling Based on High Order Statistics

利用信号频率特征矢量Ｋｒｏｎｅｃｋｅｒ积并基于四阶累积量、时延和 ＭＵＳＩＣ算法，本文提出了一种适用于任意高斯噪声环境的欠采样多信号频率估计的新方法。适当选取时延参数，方法极大增加估计信号的数目。计算机模拟证实了其有效性。

With artfully Kronecker product of signal frequency character vector, fourth--order cumulant, time delay and MUSIC algorithm, a new method , which can be used to arbitrary gaussian noise environment, and which estimates frequencies of multiple signals with the sampling rate significant less than Nyquist rate, is proposed in this paper. With the selection of time delay properly, the number of signal estimated frequency will be increased greatly. Computer simulation confirms its effectiveness.