Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Individual Variable Step-Size Subband Affine Projection Algorithm

독립 가변 스텝사이즈 부밴드 인접투사 알고리즘

  • Choi, Hun (Department of Electronic Engineering, Dong-Eui University)
  • Received : 2021.12.23
  • Accepted : 2022.01.26
  • Published : 2022.03.31
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Abstract

This paper presents a subband affine projection algorithm with variable step size to improve convergence performance in adaptive filtering applications with long adaptive filters and highly correlated input signals. The proposed algorithm can obtain fast convergence speed and small steady-state error by using different step sizes for each adaptive sub-filter in the subband structure to which polyphase decomposition and noble identity are applied. The step size derived to minimize the mean square error of the adaptive filter at each update time shows better convergence performance than the existing algorithm using a variable step size. In order to confirm the convergence performance of the proposed algorithm, which is superior to the existing algorithm, computer simulations are performed for mean square deviation(MSD) for AR(1) and AR(2) colored input signals considering the system identification model.

긴 길이의 적응 필터와 높은 상관도의 입력신호를 사용하는 적응 필터링 응용에서 적응 필터의 수렴성능을 향상 시키기 위해 가변 스텝사이즈를 이용하는 부밴드 인접투사 알고리즘을 제안한다. 제안한 알고리즘은 다위상 분해와 노블아이덴티티를 적용한 M-부밴드 구조에서 각 적응 부필터별 서로 다른 스텝사이즈를 사용함으로써 빠른 수렴속도와 작은 정상상태오차를 얻을 수 있다. 각 갱신시점에서 적응 필터의 평균자승오차를 최소화하도록 유도된 스텝사이즈는 가변 스텝사이즈를 사용하는 기존 알고리즘에 비해 좋은 수렴성능을 보인다. 기존 알고리즘에 비해 우수한 제안한 알고리즘의 수렴성능을 확인하기 위해 시스템 식별 모델을 고려하여 AR(1)과 AR(2) 유색 입력 신호에 대한 최소자승편차에 대한 컴퓨터 시뮬레이션을 수행한다.

Keywords

References

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