在MUSIC算法分辨力门限的分析过程中,两谱峰之间的波谷位置有着十分重要的意义。目前,这一波谷位置被经验性地确定于两信号参数的均值处,其理论证明尚未得见。对此,本文提供了两信号条件下MUSIC算法空间谱波谷位置的理论公式及证明。该结果表明,将波谷位置确定于信号参数均值处只是一种近似。计算机仿真结果表明了结论的正确性。
In the analysis of the resolution threshold of MUSIC, the location of trough between the spectrum peaks is an important problem. Presently this trough is located at the mean of the parameters of the signals experientially. The theoretic analysis on the location of the trough is presented in this paper. According to the analysis result, the mean of the signal parameters is only an approximation to the trough location in the spatial spectrum estimation. The simulation results are presented to demonstrate the validation of this issue.