Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor

This paper presents a new l1-RLS method to estimate a sparse impulse response estimation. A new regularization factor calculation method is proposed for l1-RLS that requires no information of the true channel response in advance. In addition, we also derive a new model to compensate for uncertainty...

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Main Authors: Junseok Lim, Seokjin Lee
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Applied Sciences
Subjects:
Online Access:http://www.mdpi.com/2076-3417/9/1/202
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author Junseok Lim
Seokjin Lee
author_facet Junseok Lim
Seokjin Lee
author_sort Junseok Lim
collection DOAJ
description This paper presents a new l1-RLS method to estimate a sparse impulse response estimation. A new regularization factor calculation method is proposed for l1-RLS that requires no information of the true channel response in advance. In addition, we also derive a new model to compensate for uncertainty in the regularization factor. The results of the estimation for many different kinds of sparse impulse responses show that the proposed method without a priori channel information is comparable to the conventional method with a priori channel information.
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spelling doaj.art-3c435a8ae8a849868327a1c9911a06ea2022-12-21T19:36:57ZengMDPI AGApplied Sciences2076-34172019-01-019120210.3390/app9010202app9010202Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization FactorJunseok Lim0Seokjin Lee1Department of Electrical Engineering, College of Electronics and Information Engineering, Sejong University, Gwangjin-gu, Seoul 05006, KoreaSchool of Electronics Engineering, College of IT Engineering, Kyungpook National University, Daegu 41566, KoreaThis paper presents a new l1-RLS method to estimate a sparse impulse response estimation. A new regularization factor calculation method is proposed for l1-RLS that requires no information of the true channel response in advance. In addition, we also derive a new model to compensate for uncertainty in the regularization factor. The results of the estimation for many different kinds of sparse impulse responses show that the proposed method without a priori channel information is comparable to the conventional method with a priori channel information.http://www.mdpi.com/2076-3417/9/1/202l1-regularized RLSsparsityroom impulse responsetotal least squaresregularization factor
spellingShingle Junseok Lim
Seokjin Lee
Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
Applied Sciences
l1-regularized RLS
sparsity
room impulse response
total least squares
regularization factor
title Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
title_full Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
title_fullStr Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
title_full_unstemmed Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
title_short Regularization Factor Selection Method for l1-Regularized RLS and Its Modification against Uncertainty in the Regularization Factor
title_sort regularization factor selection method for l1 regularized rls and its modification against uncertainty in the regularization factor
topic l1-regularized RLS
sparsity
room impulse response
total least squares
regularization factor
url http://www.mdpi.com/2076-3417/9/1/202
work_keys_str_mv AT junseoklim regularizationfactorselectionmethodforl1regularizedrlsanditsmodificationagainstuncertaintyintheregularizationfactor
AT seokjinlee regularizationfactorselectionmethodforl1regularizedrlsanditsmodificationagainstuncertaintyintheregularizationfactor