基于特征分析和二次规划的窄带信号超分辨率频率估计

本文研究了窄带信号的超分辨率频率估计.在单次实验数据和信号包络函数形式未知的条件下,通过推广应用于分布源DOA估计的特征分析方法,并利用最优化理论中的二次规划算法,提出了一种窄带信号的超分辨率频率估计方法,本文称之为EQP方法.通过仿真分析,将该方法和其它方法进行了比较,同时还将估计结果的均方误差(MSE)的数值仿真结果和克拉美-罗界(CRB)作了比较,都表明本文提出的方法有效实现了窄带信号的超分辨率频率估计.

Super-Resolution Frequency Estimation of the Sinusoidal Signals with Unknown Lowpass Envelopes Based on Eigenanalysis and Quadratic Programming

The problem concerned here is the frequency estimation for the sinusoidal signals with unknown lowpass envelope. Based on the eigenanalysis method applied to the parametric localization of distributed sources and quadratic programming, a super-resolution frequency estimator,called EQP method,is proposed. Here only single-experiment data are required to achieve the estimation. The EQP method, the nonlinear least-squares (NLS) estimator and the conventional MUSIC method are compared in terms of the super-resolution and computational complexity. The mean square errors (MSE) of frequency estimate of the EQP method, versus the sample numbers, signal-to-noise ratio (SNR) and distributed parameters are also presented, and these results are compared with the Cramer-Rao bound (CRB) .The simulation results are shown to illustrate the good performance of the EQP method.