4.6 Article

Optimal Step-Size Affine Projection Algorithm

Journal

IEEE SIGNAL PROCESSING LETTERS
Volume 19, Issue 7, Pages 431-434

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2012.2195311

Keywords

Adaptive filters; affine projection algorithm (APA); mean-square deviation (MSD); optimal step size

Funding

  1. MKE (The Ministry of Knowledge Economy), Korea, under the ITRC (Information Technology Research Center) [NIPA-2012-(H0301-12-1003), NIPA-2012-(H0301-12-2002)]
  2. World Class University
  3. Ministry of Education, Science and Technology through the National Research Foundation of Korea [R31-10100]
  4. Ministry of Public Safety & Security (MPSS), Republic of Korea [H0301-12-1003] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
  5. National Research Foundation of Korea [R31-2012-000-10100-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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This letter describes how to set up the step size of the affine projection algorithm (APA) based on mean-square deviation analysis. The analysis considers the cross-correlation between the current weight error vector and the prior measurement noises associated with the reused inputs vectors for better prediction of the learning behavior of the APA. With the predetermined step size based on the analysis, the proposed approach eliminates the parameter-tuning process and the derived algorithm achieves both the fast convergence rate and the low steady-state error. Simulation results show that the proposed algorithm performs better than previous algorithms.

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