Abstract: “The adaptive algorithm has been broadly used in the digital signal processing like channel estimation, channel equalization, noise cancellation, and so on. One of the most significant adaptive algorithms is the NLMS algorithm .This paper discuss about several objective optimization approaches to fast blind channel equalization. Different filter structures are presented to nullify the diverse form of noises. In this paper the proposed algorithm constrained stability least mean square (CSLMS) algorithm has distinct feature of minimizing mean square error (MSE) effectively. Different adaptive filter methods are proposed and finally CSLMS based adaptive filter algorithm is found to be the best in performance in terms of signal to noise ratio(SNR) and mean square error without increasing the computational complexity.”

Keywords: Least mean square (LMS), Normalized Least mean square (NLMS), Constant modulus algorithm (CMA), constrained stability least mean square (CSLMS