Abstract
A Maximum Likelihood receiver for binary phase-shift keyed signals is derived for the case when the channel includes a bandpass nonlinearity preceded and followed by sources of additive noise. This optimum receiver is then approximated for the case of a limitertype of channel and is seen to be a nonlinear function of both pre- and post-limiter signal to noise ratios and a normalized limiter softness factor λ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">*</sup> . The probability of error for this receiver is evaluated for the case of a large time-bandwidth product <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">WT</tex> using a central limit theorem argument.
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