Recently, a family of block-sparse proportionate adaptive filtering has been introduced for the block-sparse system identification. Here, we focus on the family of block-sparse proportionate second-order Volterra filtering algorithm for nonlinear echo cancellation. It is demonstrated that a multiple block-sparse system is naturally involved in the sparse adaptive Volterra filter, which could be accelerated by applying the block-sparse proportionate idea. Simulation results confirmed the performance improvement compared to both the previous proportionate second-order Volterra and the classical second-order Volterra filters.
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