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In this book authors have presented performance analysis of different equalization techniques such as minimum mean-squared error (MMSE), Least mean square (LMS), Recursive Least Square (RLS) linear equalizers and MMSE-Decision Feedback equalizer (DFE),LMS-DFE, RLS-DFE non-linear equalizers in different channel conditions, in order to achieve optimal equalizer. In the simulation model authors have considered quaternary phase-shift keying (QPSK) modulation scheme under Additive White Gaussian Noise (AWGN), lognormal and Rician channel conditions. The analysis of Linear and Non-linear equalization in different channels are performed and as an outcome one can conclude that standard Decision Feedback Equalization (DFE-Non linear Equalizer) methods are clearly outperformed the Linear equalizer by means of the Bit Error Rate (BER) performance. Authors have used the MATLAB Simulation platform to show that the DFE provide better performance in low SNR region with respect to that of linear equalizer over AWGN, Rician and log-normal channels. And performance improvement by using MIMO system have been analyzed.