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Convergence Behavior Analysis of The Maximally Polyphase Decomposed SAP Adaptive Filter  

Choi, Hun (Dept. of Electronic Eng., Dong-Eui University)
Bae, Hyeon-Deok (Dept. of Electrical Eng, Chungbuk Nat'l University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SP / v.46, no.6, 2009 , pp. 163-174 More about this Journal
Abstract
Applying the maximally polyphase decomposition and noble identity to the adaptive filter in subband structure, the conventional fullband affine projection algorithm is translated to the subband affine projection (SAP) algorithm. The Maximally polyphase decomposed SAP (MPDSAP) algorithm is a special version of the SAP algorithm, and its adaptive sub-filters have unity projection dimension. The weight updating formular of the MPDSAP is similar to that of the NLMS algorithm, so it may be more proper algorithm than other AP-type algorithms for many practical applications. This paper presents a new statistical analysis of the MPDSAP algorithm. The analytical model is derived for autoregressive (AR) inputs and the nonunity adaptive gain in the subband structure with the orthonormal analysis filters (OAF), The pre-whitening by the OAF allows the derivation of a simple-analytical model for the MPDSAP with the AR inputs and the nonunity adaptive gain.
Keywords
Adaptive filter; Subband affine projection; Autoregressive inputs; Statistical analysis; MSE;
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