Title

ON THE OPTIMALITY OF THE WIGNER DISTRIBUTION FOR DETECTION.

Document Type

Conference Proceeding

Date of Original Version

12-1-1985

Abstract

A variety of methods have been proposed for the detection of a signal with unknown signal parameters in a noisy environment. Here the noise statistics are incorporated to reveal that certain processing of the Wigner distribution (WD) signal representation can lead to an optimal, and often easy to compute, detection scheme. For the special case of linear FM signals in complex white Gaussian noise, it is shown that the optimal detector is equivalent to integrating the WD along the line of instantaneous frequency. If the position and the sweep rate of the linear chirp are unknown, then a generalized likelihood ratio test leads one to integrate the WD along all possible lines in the time-frequency plane and choose the largest integrated value for comparison to a threshold. Simulation examples demonstrate the utility of the proposed method. Finally, some comments concerning the detection of the general phase modulated signal are offered.

Publication Title

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

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