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Affine Projection Algorithm for Subband Adaptive Filters with Critical Decimation and Its Simple Implementation  

Choi, Hun (Chungbuk National University)
Bae, Hyeon-Deok (Chungbuk National University)
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Abstract
In application for acoustic echo cancellation and adaptive equalization, input signal is highly correlated and the long length of adaptive filter is needed. Affine projection algorithms, in these applications, can produce a good convergence performance. However, they have a drawback that is a complex hardware implementation. In this paper, we propose a new subband affine projection algorithm with improved convergence and reduced computational complexity. In addition, we suggest a good approach to implement the proposed method. In this method by applying polyphase decomposition, noble identity and critical decimation to the anne projection algorithm the number of input vectors for decorrelation can be reduced. The weight-updating formula of the proposed method is derived as a simple form that compared with the NLMS(normalized least mean square) algorithm by the reduced projection order The efficiency of the proposed algorithm for a colored input signal was evaluated by using computer simulations.
Keywords
adaptive filter; affine projection; subband filtering; polyphase decomposition; critical decimation;
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