A stochastic model for a pseudo affine projection algorithm

Authors:
Sérgio J. M. de Almeida;José Carlos M. Bermudez;Neil J. Bershad
Affiliations:
Catholic University of Pelotas, Pelotas, RS, Brazil;Department of Electrical Engineering, Federal University of Santa Catarina, Florianópolis, SC, Brazil;Department of Electrical Engineering and Computer Science, University of California, Irvine, Newport Beach, CA
Venue:
IEEE Transactions on Signal Processing
Year:
2009

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Abstract

This paper presents a statistical analysis of a Pseudo Affine Projection (PAP) algorithm, obtained from the Affine Projection algorithm (AP) for a step size α N compared to the order P of the algorithm. Simulations are presented which show good to excellent agreement with the theory in the transient and steady states. The PAP learning behavior is of special interest in applications where tradeoffs are necessary between convergence speed and steady-state misadjustment.