鉴于差频等长信号具有重要研究价值,而其现有频率估计方法存在严重不足,提出一种新型加权融合算法。首先,根据频率差关系生成差频修正矩阵,对差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,针对差频等长信号的相位不连续的问题,设计具有相位连续特性和噪声对消特性的相位补偿矩阵,对同频化的差频等长信号频谱进行加权融合,使之基本达到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,抗噪性好,具有重要的理论意义和实用价值。
A new weight-fusion algorithm was proposed for frequency estimation of the signal with the known frequency-difference and the same length(KFDSL-signal),due to its significant research value and disadvantages of its present frequency estimation methods. In order to make the spectrum of the KFDSL-signal as the same as that of the signal with the same frequency and length,the frequency -difference amend matrix is given.For the phase-incoherent of the KFDSL-signal,the phase compensating matrix is created, which can make phase coherent and noise eliminate.Next,the KFDSL-signal spectrum is weight-fused by this matrix to turn almost the same as the spectrum of the phase-coherent sinusoid signal.Consequently,high frequency estimation precision can be obtained through spectral peak searching of the weight-fusion spectrum.Algorithm analyses and simulation results show that compared with the present methods,this proposed algorithm works better in term of precision,calculation,noise immunity,significant theoretical and practical value.