FLMF: Fractional Least Mean Fourth Algorithm for Channel Estimation in non-Gaussian Environment

Shujaat Khan, Naveed Ahmed, Muhammad Ammar Malik, Imran Naseem, Roberto Togneri, Mohammed Bennamoun

Research output: Chapter in Book/Conference paperConference paper

Abstract

As the communication systems have been increasingly complex, the problem of channel estimation for such complex communication systems has also emerged as an equally challenging task. To solve this problem, various schemes based on Least Mean Square (LMS) and its improved variants have been proposed. This paper presents an adaptive algorithm for channel estimation in non-Gaussian environment. The proposed algorithm named as fractional least mean fourth (FLMF) is derived using the concept of fractional order calculus (FOC) and least mean fourth (LMF). The proposed algorithm is a convex combination of conventional and fractional order gradient descent method and by removing the computationally expensive Gamma function from fractional gradient it become not only computationally inexpensive but also achieves the high convergence rate with low steady state error. The proposed algorithm is evaluated for the channel estimation problem in multiple configurations and it achieves better results compared to both the fractional least mean square (FLMS) and the least mean fourth (LMF) algorithms.

Original languageEnglish
Title of host publication2017 International Conference on Information and Communication Technology Convergence
Place of PublicationUSA
PublisherWiley-IEEE Press
Pages466-470
Number of pages5
ISBN (Print)9781509040322
Publication statusPublished - 14 Dec 2017
EventInternational Conference on Information and Communication Technology Convergence (ICTC) -
Duration: 18 Oct 201720 Oct 2017

Publication series

NameInternational Conference on Information and Communication Technology Convergence
PublisherIEEE
ISSN (Print)2162-1233

Conference

ConferenceInternational Conference on Information and Communication Technology Convergence (ICTC)
Period18/10/1720/10/17

Cite this

Khan, S., Ahmed, N., Malik, M. A., Naseem, I., Togneri, R., & Bennamoun, M. (2017). FLMF: Fractional Least Mean Fourth Algorithm for Channel Estimation in non-Gaussian Environment. In 2017 International Conference on Information and Communication Technology Convergence (pp. 466-470). (International Conference on Information and Communication Technology Convergence). Wiley-IEEE Press.