Direct blind equalizers of multiple FIR channels: a deterministic approach

Relying upon diversity (sufficient number of multiple outputs) we by-pass the channel estimation step and derive direct blind FIR equalizers of co-prime FIR channels. There are no constraints on the inaccessible input apart from a minimum persistence of excitation condition; the input can be deterministic or random with unknown color or distribution. Complexity, persistence of excitation order, and mean-square error performance trade-offs are delineated for equalizers of single-shift, pair, or, multiple-shifts estimated separately, or simultaneously. Simulations illustrate the proposed algorithms and compare them with dual channel identification algorithms.