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The matched filter (MF) with the whitening filter (WF) is the optimum receiver front end for the maximum likelihood sequence detection (MLSD). The MF+WF followed by the decision feedback equalizer (DFE) is an approximation for the maximum likelihood (ML) receiver. The estimation of the MF is of utmost importance in a receiver. The WF and the MF are treated separately and the MF is estimated blindly using the constant modulus algorithm (CMA) in this work. In this way, a very simple and blind adaptive way of the MF estimate is obtained instead of the methods like the singular value decomposition (SVD), which is complex and computationally expensive. Moreover, a correction method on the MF is introduced to obtain faster convergence and better performance. Simulations prove that the method is very effective and successful.