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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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/ |
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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. |
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Arif, M. Khan, S.S. Qadri, S.S.U. Naseem, I. Moinuddin, M. |
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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 |
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Birkhauser |
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2022 |
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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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