On the optimality of the Wigner distribution for detection
- 23 March 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 10, 1017-1020
- https://doi.org/10.1109/icassp.1985.1168129
Abstract
A variety of methods have been proposed for the detection of a signal, with unknown signal parameters, in a noisy environment. In this paper, 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 sweep rate of the linear chirp are unknown, then a Generalized Likelihood Ratio Test (GLRT) 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 of the WD detection scheme are given to demonstrate the utility of the proposed method. Finally, some comments concerning the detection of the general phase modulated signal are offered.Keywords
This publication has 5 references indexed in Scilit:
- Recognition of time-varying signals in the time-frequency domain by means of the Wigner distributionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- A range and azimuth estimator based on forming the spatial Wigner distributionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Sampling the 2-D Radon transformIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981
- Digital signal processing for sonarProceedings of the IEEE, 1981
- Quantum mechanics as a statistical theoryMathematical Proceedings of the Cambridge Philosophical Society, 1949