Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Algorithmic Issues in Energy-Efficient Computation Read chapter Read first chapter

2016 | OriginalPaper | Chapter

A Robust Leaky-LMS Algorithm for Sparse System Identification

Authors : Cemil Turan, Yedilkhan Amirgaliev

Published in: Discrete Optimization and Operations Research

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, a new Leaky-LMS (LLMS) algorithm that modifies and improves the Zero-Attracting Leaky-LMS (ZA-LLMS) algorithm for sparse system identification has been proposed. The proposed algorithm uses the sparsity of the system with the advantages of the variable step-size and l 0 -norm penalty. We compared the performance of our proposed algorithm with the conventional LLMS and ZA-LLMS in terms of the convergence rate and mean-square-deviation (MSD). Additionally, the computational complexity of the proposed algorithm has been derived. Simulations performed in MATLAB showed that the proposed algorithm has superiority over the other algorithms for both types of input signals of additive white Gaussian noise (AWGN) and additive correlated Gaussian noise (ACGN).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Convergence of Discrete Approximations of Stochastic Programming Problems with Probabilistic Criteria
next chapter Extended Separating Plane Algorithm and NSO-Solutions of PageRank Problem
Literature
1.
Zaknich, A.: Principles of Adaptive Filters and Self-learning Systems. Springer, London (2005)
2.
Mayyas, K.A., Aboulnasr, T.: Leaky-LMS: a detailed analysis. In: Proceedings of IEEE International Symposium on Circuits and Systems, vol. 2, pp. 1255–1258 (1995)
3.
Sowjanya, M., Sahoo, A. K., Kumar, S.: Distributed incremental leaky LMS. In: International Conference on Communications and Signal Processing (ICCSP), pp. 1753–1757 (2015)
4.
Chen, W.Y., Haddad, R.: A variable step size LMS algorithm. In: IEEE Proceedings of 33rd Midwest Symposium on Circuits and Systems, Calgary, vol. 1, pp. 423–426 (1990)
5.
Won, Y.K., Park, R.H., Park, J.H., Lee, B.U.: Variable LMS algorithms using the time constant concept. IEEE Trans. Consum. Electron. 40(4), 1083–1087 (1994)CrossRef
6.
Chen, Y., Gu, Y., Hero, A. O.: Sparse LMS for system identification. In: IEEE International Conference Acoustic, Speech and Signal Processing, pp. 3125–3128 (2009)
7.
Salman, M.S.: Sparse leaky-LMS algorithm for system identification and its convergence analysis. Int. J. Adapt. Control Sig. Process. 28(10), 1065–1072 (2013)MathSciNetCrossRefMATH
8.
Turan, C., Salman, M. S.: Zero-attracting function controlled VSSLMS algorithm with analysis. In: Circuits, Systems, and Signal Processing, vol. 34, no. 9, pp. 3071–3080. Springer (2015)
9.
Sing-Long, C.A., Tejos, C.A., Irarrazaval, P.: Evaluation of continuous approximation functions for the l 0 -norm for compressed sensing. In: Proc. Int. Soc. Mag. Reson. Med. 17: 4585 (2009)
10.
Dogancay, K.: Partial-Update Adaptive Filters and Adaptive Signal Processing: Design, Analysis and Implementation. Elsevier, Hungary (2008)
Metadata
Title
A Robust Leaky-LMS Algorithm for Sparse System Identification
Authors
Cemil Turan
Yedilkhan Amirgaliev
Copyright Year
2016
Book
Discrete Optimization and Operations Research

Print ISBN: 978-3-319-44913-5

Electronic ISBN: 978-3-319-44914-2

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-44914-2_42

Premium Partner

    Image Credits