Blind equalizers are widely used in wireless communications for minimizing Inter Symbol Interference (ISI). The Constant Modulus Algorithm (CMA) is one of the popular blind equalizers used in broad band applications. This master’s thesis investigates the Steepest Descent Constant Modulus Algorithm (SDCMA) i.e. CMA (1, 2) and CMA (2, 2), and the Least Square Constant Modulus Algorithm (LSCMA) in the time domain and frequency domain. A Fractionally Spaced Equalizer (FSE) compares them using convergence and Bit Error Rate (BER) vs. Signal to Noise Ratio (SNR). The second part of the thesis compares the performance of WiMax OFDM PHY (Orthogonal Frequency Division Multiplexing Physical layer) and Single Carrier LTE (Long Term Evolution) uplink PHY using FD-SDCMA (Frequency Domain-SDCMA) and FD-LSCMA (Frequency Domain- LSCMA). WiMax and Single Carrier LTE uplink are compared using BER vs. SNR. All simulations are done in MATLAB.