Cross spectrum and DOA estimation based on a single vector sensor
Xinhua Chen · Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University · 2004
Cross spectrum estimation based on a single vector sensor has turned random process in time domain into random variables in frequency domain. The statistical characteristics of random variables make the physical meaning of the influence imposed on them by isotropic noise field explicit. The first and second moment,and the probability density function(PDF) of cross spectrum estimation are proposed. Collecting the particle velocity information,a single vector sensor may obtain the maximum likelihood DOA(direction of arrival) estimation of the target.Based on the statistical characteristics of cross spectrum estimation,the general solution form of DOA estimation probability density function(PDF)was established,and the digital property is derived in pure noise and high SNR.The phenomenon that the DOA estimation is biased in the low SNR is explained, and the judging conditions for the high SNR are described quantificationally. The theoretical analysis is consistent with the simulation, and all these are providing statistical knowledge for lake and sea trails.