Technical Program

Paper Detail

Paper:SPTM-L3.3
Session:Analysis of Adaptive Filter Algorithms
Time:Wednesday, May 19, 10:10 - 10:30
Presentation: Lecture
Topic: Signal Processing Theory and Methods: Adaptive Systems & Filtering
Title: A STOCHASTIC MODEL FOR THE AFFINE PROJECTION ALGORITHM OPERATING IN NONSTATIONARY ENVIRONMENT
Authors: Sérgio Almeida; Catholic University of Pelotas 
 José Carlos M. Bermudez; Federal University of Santa Catarina 
 Neil Bershad; University of California, Irvine 
Abstract: This paper presents an analytical model for predicting the stochastic behavior of the Affine Projection (AP) algorithm operating in a nonstationary environment. The model is derived for autoregressive (AR) Gaussian inputs and for unity step size (fastest convergence). Deterministic recursive equations are presented for the mean weight and mean square error for a large number of adaptive taps N as compared to the algorithm order P. The model predictions show excellent agreement with Monte Carlo simulations in transient and steady-state. The learning behavior of the AP algorithm in nonstationary environments is of great interest in applications such as acoustic echo cancellation.
 
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