SOS-Based Blind Channel Equalization With
Quadratic Complexity, Houcem Gazzah · 2011
Second-order blind algorithms have in common a complexity that is cubic in both the channel order and the number of receiving an- tennas. We present an original technique that converts (the problem of equalizing) a (multiple) channel into (that of) an equivalent channel with an impulse response shorter by one or more taps. This reversible trans- formation involves a negligible complexity and is repeated until a zero- order channel is obtained, hence achieving zero-forcing equalization. The overall complexity of this deterministic iterative technique is quadratic in the channel order. Simulations with a limited number of snapshots show that performance is comparable to other second-order techniques. Index Terms—Blind estimation and equalization.