Communication Receiver Studies

Abstract : In the report a family of baseband suboptimal communication systems, referred to as 'the family of predistorted replica correlation receivers,' is presented and analyzed. The resulting receiver structures estimate the reference waveform directly from the received process; whereas, the well-known matched filter or correlation receiver uses a stored reference waveform. In this report the Doppler performance of two such structures is investigated, the results indicating that such structures can be relatively insensitive to Doppler. The characteristic function for the 'decision statistic' is computed for the discrete-time systems and numerically inverted to obtain the cumulative distribution function. Chernoff bounds are computed to evaluate the behavior of the 'tail probabilities.'