SPECTRAL ANALYSIS BY ESPRIT METHOD USING ESTIMATE OF TOEPLITZ CORRELATION MATRIX

Abstract

The subject matter of the article is the spectral analysis methods, the methods of toeplitz matrix estimation. The goal is to improve the performance of spectral analysis (reduction of RMSE of angular coordinates of emitting sources or direction of arrival estimation (DOA) of emitting source signals) in the case of threshold SNR’s with saving the efficiency at high and medium SNRs. The used methods are: methods of spectral analysis, method of simulation. The following results were obtained. It is proposed to use the estimate of toeplitz covariance matrix obtained by LRA method to supply the high accuracy of DOA estimation of emitting source signals with uniform linear array and modern methods of spectral analysis in the conditions of threshold SNR. In order to avoid the constancy effect of RMSE of DOA estimation in the case of medium and high SNR the usual CM estimate is used. Conclusions. The conducted investigation shows that using of proposed approach allows to improve the accuracy of DOA estimation in the conditions of threshold SNR estimate and avoid the effect of constancy of RMSE in the case of medium and high SNR by using traditional estimate of CM. In the case of DOA estimation of jammer signals this estimate is maximum likelihood estimate of unknown CM. The presented results besides of the considered case of DOA estimation can be used for channel sounding and others applications. The future investigations are related with using other methods of toeplitz matrix estimation. Furthermore, the search of ways of reduction of the difference in estimation accuracy by proposed method as compared to the case of using the estimate of toeplitz CM in the case of medium SNR.