As the first step in investigating uses of the Wigner distribution function (WD) for pattern recognition applications, we consider its use in a simple binary detection problem. Using the output signal-to-noise ratio as a performance measure, we show that WD based methods provide similar performance to the conventional cross-correlator. We show that, by proper extension of the known reference signal, the computation involved in WD based methods can be reduced. Simulation results are provided to illustrate our theoretical conclusions.
B. V. K. Vijaya Kumar,
Christopher W. Carroll,
"Performance Of Wigner Distribution Function Based Detection Methods," Optical Engineering 23(6), 236732 (1 December 1984). https://doi.org/10.1117/12.7973372