Gerschgorin radii based source number detection for closely spaced signals

Author

Yang, Jar-Ferr ; Wu, Hsien-Tsai

Author_Institution

Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

6

fYear

1996

fDate

7-10 May 1996

Firstpage

3053

Abstract

We first analyze the resolution performance of the Gerschgorin radii based source number detector proposed by Wu, Yang and Chen (see IEEE Trans. SP, vol.43, no.6, p.1325-33, 1995) for independent closely-spaced plane waves. Based upon the analysis, we can easily verify the resolution threshold of the Gerschgorin radii based algorithm. For improvement of the detection performance, we then further propose a weighted Gerschgorin radii algorithm. With closed-form expressions and simulations, we find that the analyzed performance in terms of the number of sensors, the relative angular separation of emitters, and the signal-to-noise ratios can properly characterize their behaviour for source number detection

Keywords

array signal processing; direction-of-arrival estimation; signal detection; signal resolution; Gerschgorin radii based algorithm; SNR; angular separation; closed-form expressions; closely spaced signals; detection performance; direction finding; emitters; independent closely spaced plane waves; resolution performance; resolution threshold; signal to noise ratios; simulations; source number detection; weighted Gerschgorin radii algorithm; Covariance matrix; Eigenvalues and eigenfunctions; Gaussian noise; Performance analysis; Sensor arrays; Signal analysis; Signal processing; Signal processing algorithms; Signal resolution; Signal to noise ratio;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on

Conference_Location

Atlanta, GA

ISSN

1520-6149

Print_ISBN

0-7803-3192-3

Type

conf

DOI

10.1109/ICASSP.1996.550520

Filename

550520