Adaptive blind equalization of fast time‐varying channel with frequency estimation in impulsive noise environment

In this paper, a novel source signal recovery method for fast time‐varying channels described by complex exponential‐basis expansion model (CE‐BEM) in the impulsive noise environment is proposed. This method consists of two phases. The first phase is the equalization of fast time‐varying channels, in this phase, a novel algorithm FSE‐FLOS‐CMA is proposed. The convergence performance of this newly proposed algorithm is much better than that of existing fractionally spaced equalizer‐constant modulus algorithm (FSE‐CMA) in impulsive noise environment. In the second phase, a novel frequency estimation method is proposed. The estimated frequency in impulsive noise environment is obtained by calculating a specific p‐order fractional low‐order cyclic moment of the equalized signal. Simulation results show that the proposed FSE‐FLOS‐CMA and frequency estimation method can effectively estimate the source signals transmitted through the fast time‐varying channels in impulsive noise environment.