National Academy Science Letters

, Volume 41, Issue 4, pp 215–218 | Cite as

Novel Least Mean Square Algorithm Using First order Al-Alaoui Digital Differentiator

  • B. T. KrishnaEmail author
Short Communication


This paper proposes a Novel least mean square algorithm using First order Al-Alaoui differentiator.The performance of the proposed Algorithm is compared with existing algorithms by taking an example. The results prove the efficacy of the proposed Algorithm.


Digital differentiator Adaptive filters Steepest descent algorithm LMS algorithm System identification etc. 


  1. 1.
    Proakis JG, Manolakis DG (2007) Digital signal processing: principles, algorithms and applications. Prentice Hall, Upper Saddle RiverGoogle Scholar
  2. 2.
    Widrow B, Stearns SD (2007) Adaptive Signal Processing. Pearson Education Inc, LondonzbMATHGoogle Scholar
  3. 3.
    Moir TJ (2010) The trapezoidal method of steepest descent and its application to adaptive filtering. Open Signal Process J 3:1–5ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Widrow B (2005) Thinking about thinking: the discovery of the LMS algorithm. IEEE Signal Process Mag 22:100–106ADSCrossRefGoogle Scholar
  5. 5.
    Al-Alaoui MA (2005) Novel digital integrator and differentiator. Electron Lett 29:376–378CrossRefGoogle Scholar
  6. 6.
    Krishna BT, Srinivasa Rao S (2012) On design and applications of digital differentiators. In: Fourth international conference on advanced computing. ICoAC, pp 1–7Google Scholar
  7. 7.
    Ogata K (1994) Discrete time control systems, 2nd edn. Prentice Hall of India, New DelhizbMATHGoogle Scholar
  8. 8.
    Tan Li (2008) Digital signal processing: fundamentals and applications. Academic Press, CambridgeGoogle Scholar

Copyright information

© The National Academy of Sciences, India 2018

Authors and Affiliations

  1. 1.Department of Electronics and Communication Engineering, University College of Engineering KakinadaJawaharlal Nehru Technological University KakinadaKakinadaIndia

Personalised recommendations