A modified Gerschgorin disks estimation method for source number estimation
Guolong Liang · Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University · 2013
This paper introduced a modified Gerschgorin radii method called modified Gerschgorin disks estimation(MGDE),in efforts to further improve the performance of Gerschgorin disks estimation(GDE) method for source number estimation.The MGDE method independently minimized Gerschgorin radii by using center information of Gerschgorin disks to make the compression speed of noise Gerschgorin radii faster than that of signal Gerschgorin radii.Also,the noise Gerschgorin disks were kept as remotely away from the signal Gerschgorin disks as possible.Thus,allowing the source number to be determined easily,and no need for the adjustable factor to be chosen subjectively.The computer simulation verified the performance of MGDE algorithm under Gaussian white noise and colored noise,respectively.The MGDE method was then compared with Akaike information criterion(AIC) and minimum description length(MDL) and GDE.The results show that the MGDE algorithm both in Gaussian white noise and colored noise was better than GDE under some constraints,and its performance of estimating the number of sources was very good when the sample number is small.