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This paper describes the limiting behavior of linear and decision feedbackequalizers (DFEs) in single/multiple antenna systems employingreal/complex-valued modulation alphabets. The wideband frequency selectivechannel is modeled using a Rayleigh fading channel model with infinite numberof time domain channel taps. Using this model, we show that the consideredequalizers offer a fixed post signal-to-noise-ratio (post-SNR) at the equalizeroutput that is close to the matched filter bound (MFB). General expressions forthe post-SNR are obtained for zero-forcing (ZF) based conventional receivers aswell as for the case of receivers employing widely linear (WL) processing.Simulation is used to study the bit error rate (BER) performance of both MMSEand ZF based receivers. Results show that the considered receiversadvantageously exploit the rich frequency selective channel to mitigate bothfading and inter-symbol-interference (ISI) while offering a performancecomparable to the MFB.

Limiting Performance of Conventional and Widely Linear DFT-precoded-OFDM Receivers in Wideband Frequency Selective Channels