Delay and computational complexity are two problems to be solved when Maximum Likelihood Sequence Estimation (MLSE) is used in wireless communication system.

The Maximum Likelihood Sequence Estimation (MLSE) using the Viterbi Algorithm (VA) is commonly recommended for the equalization, which can only accommodate the channels with limited time delay spread.

By simplifying the objective function of maximum likelihood estimation, the algorithm can realize sequence synchronization and sequence estimation via adaptive iteration and wide window.