An approximate maximum entropy solution for bearing estimation of coherent sources

Author

Tsao, Jenho

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

fYear

1990

fDate

3-6 Apr 1990

Firstpage

2875

Abstract

A method for finding an approximate solution of the maximum entropy (ME) method for bearing estimation is presented. It is especially suitable for the coherent source problem. This solution shows that the ME spectrum is an all-pole spectrum and the coefficients of its denominator polynomial can be found from the estimation error for the signals. Since no spatial smoothing is required, it is possible to find a solution for two closely spaced sources with a three-element array, based on single snapshot data. Depending on how the signal is estimated, it is possible to find a superresolution spectrum with the discrete Fourier transform (DFT) only

Keywords

estimation theory; fast Fourier transforms; signal detection; spectral analysis; all-pole spectrum; bearing estimation; closely spaced sources; coherent sources; denominator polynomial; discrete Fourier transform; estimation error; maximum entropy solution; superresolution spectrum; three-element array; Apertures; Direction of arrival estimation; Discrete Fourier transforms; Entropy; Estimation error; Lagrangian functions; Nonlinear equations; Polynomials; Prediction theory; Signal resolution; Smoothing methods; Spatial resolution;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.116226

Filename

116226