Absrract -The Gram-Charlier series representation of the noiseprobability density function is used to determine an optimum detector for signals in norr-Gauaaian but near-Gaussian (NGNG) noise. Solutions are obtained for coherent and incoherent detection.Optimal detectors for several typical transmitting systems are determined.Generally these detectors consist of the standard detector for Gaussian noise with the addition of a few, not too sophisticated, nonlinear elements. The performance of a detector, specified by the upper bound on the probability of error, is assessed and is seen to depend on the signal ahape, the time-bandwidth product, and the sigml-to-noise ratio. The optimal signal to minimize the probability of error is determined and is seen to result as a solution to Duffing's aecondarder nonlinear differential equation.

State-of-the-art integrated circuit technology has made it feasible to implement complicated radar signal processors.One candidate for use in radar systems with heavy ground clutter and weather environments is a Two-Dimensional (2-D) CFAR Processor with clutter map. Previous work has

On the performance of digital communication systems with bandpass limiters-Part I: Onelink systems," IEEE Trans. Commun. Technol., vol. COM-20, P. C. Jain and N. M. Blachman, "Detection of a PSK signal transmitted through a hard-limited channel," IEEE Trans. "Effect of a softlimiter on the error rate of an M-ary CPSK system," in Roc. Int. Con$ Commun.,

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