Identification of Sparse Volterra Systems: An Almost Orthogonal Matching Pursuit Approach

This article considers identification of sparse Volterra systems. A method based on the almost orthogonal matching pursuit (AOMP) is proposed. The AOMP algorithm allows one to estimate one nonzero coefficient at a time until all nonzero coefficients are found without losing the optimality and the sparsity, thus avoiding the curse of dimensionality often encountered in Volterra system identification.