Enhanced fractional adaptive processing paradigm for power signal estimation

Fractional calculus tools have been exploited to effectively model variety of engineering, physics and applied sciences problems. The concept of fractional derivative has been incorporated in the optimization process of least mean square (LMS) iterative adaptive method. This study exploits the recen...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-04, Vol.46 (6), p.7013-7028
Main Authors: Chaudhary, Naveed Ishtiaq, Khan, Zeshan Aslam, Raja, Muhammad Asif Zahoor, Chaudhary, Iqra Ishtiaq
Format: Article
Language:English
Subjects:
Convergence
Fractional calculus
fractional derivative
fractional methods
Iterative methods
Optimization
Parameter estimation
Sine waves
sinusoidal signal
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Summary:Fractional calculus tools have been exploited to effectively model variety of engineering, physics and applied sciences problems. The concept of fractional derivative has been incorporated in the optimization process of least mean square (LMS) iterative adaptive method. This study exploits the recently introduced enhanced fractional derivative based LMS (EFDLMS) for parameter estimation of power signal formed by the combination of different sinusoids. The EFDLMS addresses the issue of fractional extreme points and provides faster convergence speed. The performance of EFDLMS is evaluated in detail by taking different levels of noise in the composite sinusoidal signal as well as considering various fractional orders in the EFDLMS. Simulation results reveal that the EDFLMS is faster in convergence speed than the conventional LMS (i.e., EFDLMS for unity fractional order).
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8951