An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number
An enhanced affine projection algorithm (APA) is proposed to improve the filter performance in aspects of convergence rate and steady-state estimation error, since the adjustment of the input-vector number can be an effective way to increase the convergence rate and to decrease the steady-state esti...
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MDPI AG
2022-03-01
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Online Access: | https://www.mdpi.com/1099-4300/24/3/431 |
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author | Jaewook Shin Jeesu Kim Tae-Kyoung Kim Jinwoo Yoo |
author_facet | Jaewook Shin Jeesu Kim Tae-Kyoung Kim Jinwoo Yoo |
author_sort | Jaewook Shin |
collection | DOAJ |
description | An enhanced affine projection algorithm (APA) is proposed to improve the filter performance in aspects of convergence rate and steady-state estimation error, since the adjustment of the input-vector number can be an effective way to increase the convergence rate and to decrease the steady-state estimation error at the same time. In this proposed algorithm, the input-vector number of APA is adjusted reasonably at every iteration by comparing the averages of the accumulated squared errors. Although the conventional APA has the constraint that the input-vector number should be integer, the proposed APA relaxes that integer-constraint through a pseudo-fractional method. Since the input-vector number can be updated at every iteration more precisely based on the pseudo-fractional method, the filter performance of the proposed APA can be improved. According to our simulation results, it is demonstrated that the proposed APA has a smaller steady-state estimation error compared to the existing APA-type filters in various scenarios. |
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institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-03-09T13:43:30Z |
publishDate | 2022-03-01 |
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spelling | doaj.art-ad4c0fd69df24d18ac7dcc373e99c1e42023-11-30T21:04:21ZengMDPI AGEntropy1099-43002022-03-0124343110.3390/e24030431An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector NumberJaewook Shin0Jeesu Kim1Tae-Kyoung Kim2Jinwoo Yoo3Department of Electronic Engineering, Kumoh National Institute of Technology, Gumi 39177, KoreaDepartment of Cogno-Mechatronics Engineering, Pusan National University, Busan 46241, KoreaDepartment of Electronic Engineering, Gachon University, Seongnam 13120, KoreaDepartment of Automobile and IT Convergence, Kookmin University, Seoul 02707, KoreaAn enhanced affine projection algorithm (APA) is proposed to improve the filter performance in aspects of convergence rate and steady-state estimation error, since the adjustment of the input-vector number can be an effective way to increase the convergence rate and to decrease the steady-state estimation error at the same time. In this proposed algorithm, the input-vector number of APA is adjusted reasonably at every iteration by comparing the averages of the accumulated squared errors. Although the conventional APA has the constraint that the input-vector number should be integer, the proposed APA relaxes that integer-constraint through a pseudo-fractional method. Since the input-vector number can be updated at every iteration more precisely based on the pseudo-fractional method, the filter performance of the proposed APA can be improved. According to our simulation results, it is demonstrated that the proposed APA has a smaller steady-state estimation error compared to the existing APA-type filters in various scenarios.https://www.mdpi.com/1099-4300/24/3/431adaptive filteraffine projection algorithminput-vector numberadjustmentconvergence ratesteady-state estimation error |
spellingShingle | Jaewook Shin Jeesu Kim Tae-Kyoung Kim Jinwoo Yoo An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number Entropy adaptive filter affine projection algorithm input-vector number adjustment convergence rate steady-state estimation error |
title | An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number |
title_full | An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number |
title_fullStr | An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number |
title_full_unstemmed | An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number |
title_short | An Enhanced Affine Projection Algorithm Based on the Adjustment of Input-Vector Number |
title_sort | enhanced affine projection algorithm based on the adjustment of input vector number |
topic | adaptive filter affine projection algorithm input-vector number adjustment convergence rate steady-state estimation error |
url | https://www.mdpi.com/1099-4300/24/3/431 |
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