Affine Projection Adaptive Filters for the Identification of Sparse Systems

Cyro S. Hemsi

DOI: 10.14209/sbrt.2023.1570922443

Evento: XLI Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2023)

Keywords: LMS Adaptive Filters System Identification Affine Projection

Abstract

In this paper, we focus on the identification of sparse systems, as is often the case in telecommunications and acoustics applications, using sparse affine projection (AP) algorithms, expected to perform better than sparse versions of the LMS and NLMS when the input signal is highly correlated. Initially, we offer a concise review on the AP adaptive filter theory, followed by the analysis of sparse AP zero attractor algorithms from a geometric point-of-view. Then, we propose a sparse AP based on the SparseStep approximation of the `0-pseudo-norm. Finally, the proposed algorithm is numerically validated by comparing it with well-known sparse AP filters.

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