This thesis presents the design and analysis of MLSE diversity receivers for linearly modulated signals transmitted over known and unknown time- and frequency-selective channels, corrupted by additive Gaussian noise. The extended MLSE receiver structure of Ungerboeck [56] is extended further; for the case of a known but time-varying, frequency-selective channel with diversity. The error event analysis technique of Forney [22] is used to approximate and bound the receiver's BER. The MLSE

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... r receiver of Yu and Pasupathy [64] for unknown Rayleigh fading channels is also extended, to the case of Ricean fading, con-elated diversity threads, uncertain carrier frequency and phase, and unknown symbol timing. The received signal's second order statistics are needed to compute the predictors, and two methods are proposed that achieve this in the Rayleigh fading channel. The MLSE predictor receiver's BER is bounded, assuming ideal knowledge of the received signal's second order statistics.