Blind equalization using CMA: performance analysis and a new algorithm

The performance of the fractionally-spaced CMA (FSCMA) is investigated. The mean square error (MSE) of the FSCMA equalizer is compared with that of the optimal minimum mean square error (MMSE) equalizer. It has been demonstrated that FSCMA may converge to an undesirable minimum which has an MSE considerably larger than the MMSE. To avoid this drawback, a new algorithm is proposed. The new algorithm, referred to as the constant modulus-correlation fitting (CM-CF) algorithm, simultaneously exploits the constant modulus property of the source and the cyclostationary properties of the fractionally sampled signal. In simulations, the CM-CF offers substantial improvement over the least-squares CMA.