Tracking MSE performance analysis of the ∈-NSLMS algorithm

Mohammed Mujahid Ulla Faiz; Azzedine Zerguine; Syed Muhammad Asad; Khalid Mahmood

doi:10.1109/ICCSPA.2015.7081323

Tracking MSE performance analysis of the ∈-NSLMS algorithm

Mohammed Mujahid Ulla Faiz, Azzedine Zerguine, Syed Muhammad Asad, Khalid Mahmood

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

4 Scopus citations

Abstract

In this paper, the tracking behavior of the ∈-normalized sign-error least mean square (NSLMS) algorithm is analyzed in the presence of white and correlated Gaussian regressors. Moreover, generic analytical expressions are derived for the optimal step-size and the corresponding optimal meansquare error (MSE) of the ∈-NSLMS algorithm for both the real- and complex-valued data cases. Additionally, a comparison between the convergence behavior of the ∈-NSLMS algorithm and the ∈-normalized least mean square (NLMS) algorithm is also discussed. Finally, simulation results to corroborate our theoretical findings are presented.

Original language	English
Title of host publication	2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479965328
DOIs	https://doi.org/10.1109/ICCSPA.2015.7081323
State	Published - 6 Apr 2015

Publication series

Name	2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

LMS
NLMS
NSLMS
SLMS
Tracking

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing

Access to Document

10.1109/ICCSPA.2015.7081323

Cite this

Faiz, M. M. U., Zerguine, A., Asad, S. M., & Mahmood, K. (2015). Tracking MSE performance analysis of the ∈-NSLMS algorithm. In 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015 (2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCSPA.2015.7081323

Faiz, Mohammed Mujahid Ulla ; Zerguine, Azzedine ; Asad, Syed Muhammad et al. / Tracking MSE performance analysis of the ∈-NSLMS algorithm. 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015).

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title = "Tracking MSE performance analysis of the ∈-NSLMS algorithm",

abstract = "In this paper, the tracking behavior of the ∈-normalized sign-error least mean square (NSLMS) algorithm is analyzed in the presence of white and correlated Gaussian regressors. Moreover, generic analytical expressions are derived for the optimal step-size and the corresponding optimal meansquare error (MSE) of the ∈-NSLMS algorithm for both the real- and complex-valued data cases. Additionally, a comparison between the convergence behavior of the ∈-NSLMS algorithm and the ∈-normalized least mean square (NLMS) algorithm is also discussed. Finally, simulation results to corroborate our theoretical findings are presented.",

keywords = "LMS, NLMS, NSLMS, SLMS, Tracking",

author = "Faiz, \{Mohammed Mujahid Ulla\} and Azzedine Zerguine and Asad, \{Syed Muhammad\} and Khalid Mahmood",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.",

year = "2015",

month = apr,

day = "6",

doi = "10.1109/ICCSPA.2015.7081323",

language = "English",

series = "2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015",

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Faiz, MMU, Zerguine, A, Asad, SM & Mahmood, K 2015, Tracking MSE performance analysis of the ∈-NSLMS algorithm. in 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015. 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015, Institute of Electrical and Electronics Engineers Inc. https://doi.org/10.1109/ICCSPA.2015.7081323

Tracking MSE performance analysis of the ∈-NSLMS algorithm. / Faiz, Mohammed Mujahid Ulla; Zerguine, Azzedine; Asad, Syed Muhammad et al.
2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015).

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

TY - GEN

T1 - Tracking MSE performance analysis of the ∈-NSLMS algorithm

AU - Faiz, Mohammed Mujahid Ulla

AU - Zerguine, Azzedine

AU - Asad, Syed Muhammad

AU - Mahmood, Khalid

PY - 2015/4/6

Y1 - 2015/4/6

N2 - In this paper, the tracking behavior of the ∈-normalized sign-error least mean square (NSLMS) algorithm is analyzed in the presence of white and correlated Gaussian regressors. Moreover, generic analytical expressions are derived for the optimal step-size and the corresponding optimal meansquare error (MSE) of the ∈-NSLMS algorithm for both the real- and complex-valued data cases. Additionally, a comparison between the convergence behavior of the ∈-NSLMS algorithm and the ∈-normalized least mean square (NLMS) algorithm is also discussed. Finally, simulation results to corroborate our theoretical findings are presented.

AB - In this paper, the tracking behavior of the ∈-normalized sign-error least mean square (NSLMS) algorithm is analyzed in the presence of white and correlated Gaussian regressors. Moreover, generic analytical expressions are derived for the optimal step-size and the corresponding optimal meansquare error (MSE) of the ∈-NSLMS algorithm for both the real- and complex-valued data cases. Additionally, a comparison between the convergence behavior of the ∈-NSLMS algorithm and the ∈-normalized least mean square (NLMS) algorithm is also discussed. Finally, simulation results to corroborate our theoretical findings are presented.

KW - LMS

KW - NLMS

KW - NSLMS

KW - SLMS

KW - Tracking

UR - https://www.scopus.com/pages/publications/84929438947

U2 - 10.1109/ICCSPA.2015.7081323

DO - 10.1109/ICCSPA.2015.7081323

M3 - Conference contribution

AN - SCOPUS:84929438947

T3 - 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015

BT - 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Faiz MMU, Zerguine A, Asad SM, Mahmood K. Tracking MSE performance analysis of the ∈-NSLMS algorithm. In 2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015. Institute of Electrical and Electronics Engineers Inc. 2015. (2015 International Conference on Communications, Signal Processing, and Their Applications, ICCSPA 2015). doi: 10.1109/ICCSPA.2015.7081323

Tracking MSE performance analysis of the ∈-NSLMS algorithm

Abstract

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Bibliographical note

Keywords

ASJC Scopus subject areas

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