A Stochastic Model for a Pseudo Affine Projection Algorithm

Autor:	S. J. M. de Almeida, Jose C. M. Bermudez, N.J. Bershad
Rok vydání:	2009
Předmět:	Affine shape adaptation Discrete mathematics Adaptive filter Affine combination Mean squared error Stochastic process Stochastic modelling Signal Processing Applied mathematics Algorithm design Electrical and Electronic Engineering Error detection and correction Mathematics
Zdroj:	IEEE Transactions on Signal Processing. 57:107-118
ISSN:	1941-0476 1053-587X
DOI:	10.1109/tsp.2008.2007109
Popis:	This paper presents a statistical analysis of a Pseudo Affine Projection (PAP) algorithm, obtained from the Affine Projection algorithm (AP) for a step size alpha < 1 and a scalar error signal in the weight update. Deterministic recursive equations are derived for the mean weight and for the mean square error (MSE) for a large number of adaptive taps 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6868a3df919b9cab1c676c28dc1f28c https://doi.org/10.1109/tsp.2008.2007109 Zobrazit plný text záznamu