Journal ArticleDOI
A new computing paradigm for the optimization of parameters in adaptive beamforming using fractional processing
Muhammad Asif Zahoor Raja,Muhammad Asif Zahoor Raja,Rizwan Akhtar,Naveed Ishtiaq Chaudhary,Zhu Zhiyu,Qaiser Farid Khan,Ata Ur Rehman,Fawad Zaman +7 more
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TLDR
A comparative study of the proposed FrLMS with standard LMS for different scenarios of adaptive beamforming shows the quality of the design scheme in terms of accuracy, convergence, robustness and stability.Abstract:
The use of fractional calculus based novel adaptive algorithms to solve various applied physics and engineering problems is an emerging area of research. In the present study, the parameter estimation problem in adaptive beamforming is explored through the fractional least mean square (FrLMS) adaptive algorithm. The FrLMS algorithm uses the concept of the fractional order gradient in addition to the standard integer order gradient calculation in the recursive parameter update mechanism of optimization. The unknown parameters of adaptive beamforming networks are effectively estimated using FrLMS for various scenarios based on the number of antenna elements in a uniform linear array, the number of interference signals, the signal to noise ratios (SNRs) as well as fractional orders. A comparative study of the proposed FrLMS with standard LMS for different scenarios of adaptive beamforming shows the quality of the design scheme in terms of accuracy, convergence, robustness and stability.read more
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A Stochastic Intelligent Computing with Neuro-Evolution Heuristics for Nonlinear SITR System of Novel COVID-19 Dynamics
Muhammad Umar,Zulqurnain Sabir,Muhammad Asif Zahoor Raja,Muhammad Shoaib,Manoj Gupta,Yolanda Guerrero Sánchez +5 more
TL;DR: The correctness, stability, and potential of the proposed FF-ANN-GASQP scheme for the four different cases are established through comparative assessment study from the results of numerical computing with Adams solver for single as well as multiple autonomous trials.
Journal ArticleDOI
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems
Naveed Ishtiaq Chaudhary,Muhammad Asif Zahoor Raja,Muhammad Asif Zahoor Raja,Yigang He,Zeshan Aslam Khan,J. A. Tenreiro Machado +5 more
TL;DR: A new perspective regarding the fractional least mean square (FLMS) adaptive algorithm, called multi innovation FLMS (MIFLMS), is presented, which yields better convergence speed than the standard FLMS by increasing the length of innovation vector.
Journal ArticleDOI
An innovative fractional order LMS algorithm for power signal parameter estimation
Naveed Ishtiaq Chaudhary,Rizwan Latif,Muhammad Asif Zahoor Raja,Muhammad Asif Zahoor Raja,J. A. Tenreiro Machado +4 more
TL;DR: An innovative fractional order least mean square (I-FOLMS) adaptive algorithm is presented for an effective parameter estimation that exploits the fractional gradient in its recursive parameter update mechanism.
Journal ArticleDOI
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
TL;DR: In this article , a fractional hierarchical gradient descent (FHGD) is proposed by generalizing the standard hierarchical gradients to fractional order for effectively solving nonlinear system identification problem.
Journal ArticleDOI
Design of normalized fractional SGD computing paradigm for recommender systems
Zeshan Aslam Khan,Syed M. Zubair,Naveed Ishtiaq Chaudhary,Muhammad Asif Zahoor Raja,Farrukh Aslam Khan,Nebojsa Dedovic +5 more
TL;DR: A nonlinear computing paradigm based on normalized version of fractional SGD is developed in this paper to investigate the adaptive behavior of learning rate with novel application to recommender systems.
References
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Book
Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
TL;DR: In this article, the authors present a method for computing fractional derivatives of the Fractional Calculus using the Laplace Transform Method and the Fourier Transformer Transform of fractional Derivatives.
Journal ArticleDOI
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana,Dumitru Baleanu +1 more
TL;DR: In this article, a new fractional derivative with non-local and no-singular kernel was proposed and applied to solve the fractional heat transfer model, and some useful properties of the new derivative were presented.
Journal ArticleDOI
Robust adaptive beamforming
TL;DR: It is shown that a simple scaling of the projection of tentative weights, in the subspace orthogonal to the linear constraints, can be used to satisfy the quadratic inequality constraint.
Posted Content
New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model
Abdon Atangana,Dumitru Baleanu +1 more
TL;DR: In this paper, a new fractional derivative with non-local and no-singular kernel was proposed and applied to solve the fractional heat transfer model, and some useful properties of the new derivative were presented.
Journal ArticleDOI
Recent history of fractional calculus
TL;DR: A survey of the major documents and events in the area of fractional calculus that took place since 1974 up to the present date can be found in this article, where the authors report some of the most important documents and major events.