Adaptive minimum variance methods for direct blind multichannel equalization

Constrained adaptive optimization techniques are employed in this paper to design direct blind equalizers. The method is based on minimizing the equalizer's output variance subject to appropriate constraints. The constraints are chosen to guarantee no desired signal cancellation and are also jointly and recursively optimized to improve performance. Our method provides adaptive solutions which directly optimize the equalizer's parameters, while its performance compares favorably to that of the linear prediction based approaches. Global convergence is established and comparisons with other blind and trained methods are presented.