On the Use of Spatial Time Frequency Distributions forSignal Extraction

Authors:
Adel Belouchrani;Moeness G. Amin
Affiliations:
Department of Electrical and Computer Engineering, Villanova University, Villanova PA 19085;Department of Electrical and Computer Engineering, Villanova University, Villanova PA 19085
Venue:
Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
Year:
1998

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Abstract

This paper dealswith the extraction of signals from their instantaneous linearmixtures using time-frequency distributions. Fundamentally, thisproblem is a signal synthesis from the time-frequency (t-f) plane.However with the incorporation of the spatial information providedby a multisensor array, the problem can be posed as special caseof blind source separation. So far, the blind source separationhas been solved using only statistical information availableon the source signals. Herein, we propose to solve the aforementionedproblem using time-frequency signal representations and the spatialarray aperture. The proposed approach relies on the differencein the t-f signatures of the sources to be separated. It is basedon the diagonalization of a combined set of spatial time-frequencydistribution matrices. A numerical example is provided to illustratethe effectiveness of our method.