基于迭代更新策略的快速高精度频率估计方法

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (14) : 16-20.

论文

高志峰1,2, 彭喜元1，彭宇1

作者信息 +

Fast and accuracy frequency estimation with a gradient-based iterative algorithm

GAO Zhi-feng1,2，PENG Xi-yuan1，PENG Yu1

Author information +

文章历史 +

摘要

基于滤波器组的谱估计方法用于信号频率估计频率虽分辨率高,但滤波器组中心频率格点划分缺乏先验知识，谱峰搜索过程存在计算复杂、信号不匹配问题。基于MVDR(Minimum Variance Distortionless Response)谱构造指标函数，将谱峰搜索问题等价为标量指标函数局部极小值问题求解，通过构造一组最速下降方向及自适应步长对极值频率迭代更新，实现对信号频率的直接估计。新算法不仅回避中心频率点组划分及传统的谱峰搜索，且有效缓解信号不匹配，估计精度、计算效率更高。对单成分信号频率估计精度与计算量进行新算法与现有算法的性能比较，并用于多成分信号频率估计。

Abstract

The nonparametric spectral estimation algorithms are applied to frequency estimation for their significant performance. To avoid the signal mismatch problem and to improve the frequency estimation accuracy, a new iterative algorithm is presented based on the minimum variance distortionless response (MVDR) spectrum. With given initial frequency, searching directions and adaptive steps are derived to update the frequency sequence, which converges to the local spectral peak as the scalar gradient function goes to zero. Without the spectral peak searching on predefined analysis frequency grids, the computation is saved. The proposed algorithm is also applied to multiple component frequency estimation, with carefully selected initial frequencies.

导出引用

高志峰1,2, 彭喜元1，彭宇1. 基于迭代更新策略的快速高精度频率估计方法[J]. 振动与冲击, 2015, 34(14): 16-20

GAO Zhi-feng1,2，PENG Xi-yuan1，PENG Yu1. Fast and accuracy frequency estimation with a gradient-based iterative algorithm[J]. Journal of Vibration and Shock, 2015, 34(14): 16-20

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