A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms

Mohammed Mujahid Ulla Faiz; Azzedine Zerguine

doi:10.1109/SSD.2018.8570653

A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms

Mohammed Mujahid Ulla Faiz, Azzedine Zerguine

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper, we compare the expressions for the steady-state mean-square error (MSE), the optimum step-size, and the corresponding minimum tracking MSE of the normalized sign regressor least mean square (NSRLMS), the normalized sign regressor least mean fourth (NSRLMF), and the normalized sign regressor least mean mixed-norm (NSRLMMN) algorithms for the case of real-valued data. The expressions for the steady-state MSE, the optimum step-size, and the corresponding minimum tracking MSE of the NSRLMF and NSRLMMN algorithms based on energy conservation relation approach are available in the literature for the case of real-valued data. Thus, in order to compare these three algorithms, we have derived the expressions for the steady-state MSE, the optimum stepsize, and the corresponding minimum tracking MSE of the NSRLMS algorithm based on energy conservation relation approach for the case of real-valued data. Finally, simulation results to substantiate the analytical results of the NSRLMS algorithm are also presented for the case of real-valued data.

Original language	English
Title of host publication	2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	40-44
Number of pages	5
ISBN (Electronic)	9781538653050
DOIs	https://doi.org/10.1109/SSD.2018.8570653
State	Published - 7 Dec 2018

Publication series

Name	2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

Keywords

NSRLMF
NSRLMMN
NSRLMS
steady-state
tracking

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Control and Optimization
Instrumentation

Access to Document

10.1109/SSD.2018.8570653

Cite this

Ulla Faiz, M. M., & Zerguine, A. (2018). A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms. In 2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018 (pp. 40-44). Article 8570653 (2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SSD.2018.8570653

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abstract = "In this paper, we compare the expressions for the steady-state mean-square error (MSE), the optimum step-size, and the corresponding minimum tracking MSE of the normalized sign regressor least mean square (NSRLMS), the normalized sign regressor least mean fourth (NSRLMF), and the normalized sign regressor least mean mixed-norm (NSRLMMN) algorithms for the case of real-valued data. The expressions for the steady-state MSE, the optimum step-size, and the corresponding minimum tracking MSE of the NSRLMF and NSRLMMN algorithms based on energy conservation relation approach are available in the literature for the case of real-valued data. Thus, in order to compare these three algorithms, we have derived the expressions for the steady-state MSE, the optimum stepsize, and the corresponding minimum tracking MSE of the NSRLMS algorithm based on energy conservation relation approach for the case of real-valued data. Finally, simulation results to substantiate the analytical results of the NSRLMS algorithm are also presented for the case of real-valued data.",

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Ulla Faiz, MM & Zerguine, A 2018, A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms. in 2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018., 8570653, 2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018, Institute of Electrical and Electronics Engineers Inc., pp. 40-44. https://doi.org/10.1109/SSD.2018.8570653

A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms. / Ulla Faiz, Mohammed Mujahid; Zerguine, Azzedine.
2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 40-44 8570653 (2018 15th International Multi-Conference on Systems, Signals and Devices, SSD 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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A note on NSRLMS, NSRLMF, and NSRLMMN adaptive algorithms

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

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