一种频率估计的倍频等长信号加权融合算法

提出一种新型加权融合算法.首先,根据倍频等长信号间频率的倍数生成倍频修正矩阵,对倍频等长信号频谱进行同频化处理,使之达到同频等长信号频谱的分析效果.然后,针对倍频等长信号的相位不连续问题,设计具有相位连续特性和噪声对消特性的相位补偿矩阵,对同频化的倍频等长信号频谱进行加权融合,使之近似达到与倍频等长信号长度相同的相位连续信号频谱的分析效果.最后,通过谱峰搜索加权融合频谱获得高精度的频率估计值.算法分析与仿真实验表明:与现有方法相比,本算法精度较高,计算量较小,抗噪性强,普适性好.

A Weighted Fusion Algorithm for Frequency Estimation of Signals with Known Frequency-Ratio and the Same Length

A new weight-fusion algorithm is proposed for the frequency estimation of multi-sinusoids with the known frequency-ratio and the same length(Multi-Sinusoids-KFRSL),due to its significant research value and disadvantages of its present frequency estimation methods.According to the known frequency-ratio,the frequency-ratio amend matrix is given to make the spectrums of Multi-Sinusoids-KFRSL same as those of multi-sinusoids with the same frequency and length.For the phase-incoherent problem of Multi-sinusoids-KFRSL,the phase compensating matrix is created to make phase coherent and noise eliminate.Next,the spectrums of Multi-Sinusoids-KFRSL are weight-fused by the phase compensating matrix to turn almost the same as the spectrum of the phase-coherent sinusoid signal,which is as the same length as Multi-Sinusoids-KFRSL.Consequently,precise frequency estimation can be obtained through spectral peak searching of the weight-fusion spectrum.Algorithm analyses and simulation results show that,compared with the present methods,the proposed algorithm performs better in term of precision,calculation,noise immunity,significant theoretical and practical values.