NDLI: Riemann–Liouville operator-based fractional normalised least mean square algorithm with application to decision feedback equalisation of multipath channels

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Riemann–Liouville operator-based fractional normalised least mean square algorithm with application to decision feedback equalisation of multipath channels

Content Provider	IET Digital Library
Author	Shah, Syed Muslim
Abstract	In this study, the authors modify the mapping function by introducing a non-linear term based on Riemann–Liouville definition of fractional derivatives and its application to the mean squared error in addition to the first-order partial derivatives; thus create fractional variants of the least mean square (LMS) algorithm and its normalised version. The introduction of fractional term helps increase the convergence rate through the non-linear update term which depends on the fractional order and the in-process LMS weights; for steep gradient of the error measure, large changes are made to the weights which help the equaliser filter to better track the effects of multipath fading channels. They verify and validate the working of the proposed technique in the decision feedback equalisation of multipath fading channels for higher-order quadrature amplitude modulations; comparative results are shown in terms of performance metrics as symbol-error rate for various fractional orders and step sizes, combined equaliser and channel responses for different number of training symbols; simulations show that the proposed approach outperforms the conventional counterpart.
Starting Page	575
Ending Page	582
Page Count	8
ISSN	17519675
Volume Number	10
e-ISSN	17519683
Issue Number	Issue 6, Aug (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/10/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2014.0210
Journal	IET Signal Processing
Publisher Date	2016-08-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Communication Channel Equalisation And Identification Decision Feedback Equalisation Decision Feedback Equalisers Equaliser Filter Error Statistics Fading Channel Filtering Method in Signal Processing Filtering Theory First-order Partial Derivative Fractional Normalised Least Mean Square Error Algorithm Gradient Method Higher-order Quadrature Amplitude Modulation Interpolation And Function Approximation Least Mean Squares Method Linear Algebra LMS Algorithm Mapping Function Modification Modulation And Coding Method Multipath Channel Multipath Fading Channel Numerical Analysis Optimisation Technique Quadrature Amplitude Modulation Radio Link And Equipment Riemann-Liouville Operator Statistics Steep Gradient Symbol-error Rate
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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