Direction Finding Based on Spatial Time-Frequency Distribution Matrices

Amin, Moeness G., and Zhang, Yimin, Direction Finding Based on Spatial Time-Frequency Distribution Matrices, Digital Signal Processing10 (2000), 325?339.Spatial time-frequency distributions (STFDs) have been recently introduced as the natural means to deal with source signals that are localizable in the time-frequency domain. It has been shown that improved estimates of the signal and noise subspaces are achieved by constructing the subspaces from the time-frequency signatures of the signal arrivals rather than from the data covariance matrices, which are commonly used in conventional subspace estimation methods. This paper discusses the application of STFD to high-resolution direction finding. We focus on both the role and the effect of crossterms in angle estimation when multiple time-frequency points are incorporated. Simulation examples are presented to compare the performance of joint block-diagonalization and time-frequency averaging techniques for incorporating multiple autoterm and crossterm points in subspace estimation.

[1]  David Poeppel,et al.  Time-frequency MEG-MUSIC algorithm , 1999, IEEE Transactions on Medical Imaging.

[2]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[3]  Yimin Zhang,et al.  Subspace analysis of spatial time-frequency distribution matrices , 2001, IEEE Trans. Signal Process..

[4]  Jechang Jeong,et al.  Kernel design for reduced interference distributions , 1992, IEEE Trans. Signal Process..

[5]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[6]  Yimin Zhang,et al.  Time-frequency maximum likelihood methods for direction finding , 2000, J. Frankl. Inst..

[7]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  Harry B. Lee,et al.  Resolution threshold of beamspace MUSIC for two closely spaced emitters , 1990, IEEE Trans. Acoust. Speech Signal Process..

[9]  A. Belouchrani,et al.  Direction finding in correlated noise fields based on joint block-diagonalization of spatio-temporal correlation matrices , 1997, IEEE Signal Processing Letters.

[10]  Moeness G. Amin,et al.  Blind source separation based on time-frequency signal representations , 1998, IEEE Trans. Signal Process..

[11]  Yimin Zhang,et al.  Spatial averaging of time-frequency distributions for signal recovery in uniform linear arrays , 2000, IEEE Trans. Signal Process..

[12]  J. Cardoso,et al.  Blind beamforming for non-gaussian signals , 1993 .

[13]  Moeness G. Amin,et al.  Time-frequency MUSIC , 1999, IEEE Signal Processing Letters.