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Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links

The quantum calculus provides an extra degree of freedom to search the local and global minima by inducing a q-parameter. Motivated by this fact, a quantum calculus-based noisy links incremental least mean squares (NL-qILMS) algorithm is proposed. Moreover, for the proposed NL-qILMS, we also devised...

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Main Authors: Arif, M., Khan, S.S., Qadri, S.S.U., Naseem, I., Moinuddin, M.
Format: Article
Published: Birkhauser 2022
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131406328&doi=10.1007%2fs00034-022-02048-w&partnerID=40&md5=2985449023aab53e9eda4c95004ef0f5
http://eprints.utp.edu.my/33185/
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spelling my.utp.eprints.331852022-07-06T08:20:36Z Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links Arif, M. Khan, S.S. Qadri, S.S.U. Naseem, I. Moinuddin, M. The quantum calculus provides an extra degree of freedom to search the local and global minima by inducing a q-parameter. Motivated by this fact, a quantum calculus-based noisy links incremental least mean squares (NL-qILMS) algorithm is proposed. Moreover, for the proposed NL-qILMS, we also devised various time-varying techniques for the selection of the optimal q-parameter to improve the performance. Furthermore, the closed-form solutions for the steady-state mean square deviation, excess mean square deviation and mean square error are derived. The analytical results are validated through simulation. Finally, extensive simulations have been done to evaluate the performance of the proposed algorithm for various choices of optimal q-values. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. Birkhauser 2022 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131406328&doi=10.1007%2fs00034-022-02048-w&partnerID=40&md5=2985449023aab53e9eda4c95004ef0f5 Arif, M. and Khan, S.S. and Qadri, S.S.U. and Naseem, I. and Moinuddin, M. (2022) Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links. Circuits, Systems, and Signal Processing . http://eprints.utp.edu.my/33185/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description The quantum calculus provides an extra degree of freedom to search the local and global minima by inducing a q-parameter. Motivated by this fact, a quantum calculus-based noisy links incremental least mean squares (NL-qILMS) algorithm is proposed. Moreover, for the proposed NL-qILMS, we also devised various time-varying techniques for the selection of the optimal q-parameter to improve the performance. Furthermore, the closed-form solutions for the steady-state mean square deviation, excess mean square deviation and mean square error are derived. The analytical results are validated through simulation. Finally, extensive simulations have been done to evaluate the performance of the proposed algorithm for various choices of optimal q-values. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
format Article
author Arif, M.
Khan, S.S.
Qadri, S.S.U.
Naseem, I.
Moinuddin, M.
spellingShingle Arif, M.
Khan, S.S.
Qadri, S.S.U.
Naseem, I.
Moinuddin, M.
Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
author_facet Arif, M.
Khan, S.S.
Qadri, S.S.U.
Naseem, I.
Moinuddin, M.
author_sort Arif, M.
title Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
title_short Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
title_full Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
title_fullStr Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
title_full_unstemmed Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
title_sort efficient time-varying q-parameter design for q-incremental least mean square algorithm with noisy links
publisher Birkhauser
publishDate 2022
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131406328&doi=10.1007%2fs00034-022-02048-w&partnerID=40&md5=2985449023aab53e9eda4c95004ef0f5
http://eprints.utp.edu.my/33185/
_version_ 1738657467125989376
score 13.18916

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