Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 273, Issue -, Pages 82-88Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.09.059
Keywords
Adaptive filter; Pseudo affine projection (PAP) algorithm; Statistical analysis; Optimal step; size
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Funding
- National Natural Science Foundation of China [61201321, 61471300]
- Natural Science Basic Research Plan in Shaanxi Province of China [2014JQ8356]
- Fundamental Research Funds for the Central Universities [3102014JCQ01063]
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A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results. (C) 2015 Elsevier Inc. All rights reserved.
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