Proportionate Affine Projection Algorithms for Block-sparse System Identification

Jianming Liu; Steven L. Grant

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arXiv · 1601.01360

Proportionate Affine Projection Algorithms for Block-sparse System Identification

Jianming Liu·Steven L. Grant

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Abstract

A new family of block-sparse proportionate affine projection algorithms (BS-PAPA) is proposed to improve the performance for block-sparse systems. This is motivated by the recent block-sparse proportionate normalized least mean square (BS-PNLMS) algorithm. It is demonstrated that the affine projection algorithm (APA), proportionate APA (PAPA), BS-PNLMS and PNLMS are all special cases of the proposed BS-PAPA algorithm. Meanwhile, an efficient implementation of the proposed BS-PAPA and block-sparse memory PAPA (BS-MPAPA) are also presented to reduce computational complexity. Simulation results demonstrate that the proposed BS-PAPA and BS-MPAPA algorithms outperform the APA, PAPA and MPAPA algorithms for block-sparse system identification in terms of both faster convergence speed and better tracking ability.

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Jianming Liu, Steven L. Grant. 2016-01-07. Proportionate Affine Projection Algorithms for Block-sparse System Identification. https://arxiv.org/abs/1601.01360

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