Design of fractional-order variants of complex LMS and NLMS algorithms for adaptive channel equalization

DOI10.1007/s11071-016-3279-yzbMath1375.93130OpenAlexW2566116876WikidataQ57600102 ScholiaQ57600102MaRDI QIDQ1681733

Syed Muslim Shah, Raza Samar, Noor M. Khan, Muhammad Asif Zahoor Raja

Publication date: 24 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3279-y

zbMATH Keywords

fractional derivativesfading channelsadaptive equalizationleast means square

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Adaptive control/observation systems (93C40) Fractional derivatives and integrals (26A33)

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A novel LMS algorithm with double fractional order ⋮ Comments on: ``Design of fractional-order variants of complex LMS and NLMS algorithms for adaptive channel equalization ⋮ Generalization of the gradient method with fractional order gradient direction

Cites Work

• Unnamed Item
• Unnamed Item
• A review of operational matrices and spectral techniques for fractional calculus
• Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow
• Exploring the performance of spatial stochastic simulation algorithms
• Studies on fractional order differentiators and integrators: a survey
• A discrete method to solve fractional optimal control problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Several gradient-based iterative estimation algorithms for a class of nonlinear systems using the filtering technique
• Tracking of time-varying mobile radio channels .1. The Wiener LMS algorithm
• Robust Design of Adaptive Equalizers
• Unique continuation for fractional Schrödinger operators in three and higher dimensions
• Error whitening criterion for adaptive filtering: theory and algorithms
• On the Usefulness of Riemann-Liouville and Caputo Derivatives in Describing Fractional Shift-invariant Linear Systems

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