Optimal adaptive filtering algorithm by using the fractional-order derivative

X Zhang, F Ding - IEEE signal processing letters, 2021 - ieeexplore.ieee.org
The previous work for the filter design considers uncorrelated white measurement noise
disturbance. For more complex correlated noise disturbance, the conventional adaptive filter …

A fractional gradient descent algorithm robust to the initial weights of multilayer perceptron

X Xie, YF Pu, J Wang - Neural Networks, 2023 - Elsevier
For multilayer perceptron (MLP), the initial weights will significantly influence its
performance. Based on the enhanced fractional derivative extend from convex optimization …

Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems

NI Chaudhary, MAZ Raja, ZA Khan, A Mehmood… - Chaos, Solitons & …, 2022 - Elsevier
The trend of developing fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …

A novel design of Gaussian WaveNets for rotational hybrid nanofluidic flow over a stretching sheet involving thermal radiation

H Ilyas, I Ahmad, MAZ Raja, M Shoaib - International Communications in …, 2021 - Elsevier
The aim of this study is to analysis the mass and heat transfer in radiative three dimensional
flow of hybrid nanofluid over the stretchable sheet by exploiting the strength of integrated …

A fractional filter based on reinforcement learning for effective tracking under impulsive noise

X Xie, Z Li, YF Pu, J Wang, W Zhang, Y Wen - Neurocomputing, 2023 - Elsevier
It is valuable and meaningful to suppress impulsive noise in system identification. Existing
algorithms usually only consider impulsive noise with small frequency and amplitude …

Design of auxiliary model based normalized fractional gradient algorithm for nonlinear output-error systems

NI Chaudhary, ZA Khan, AK Kiani, MAZ Raja… - Chaos, Solitons & …, 2022 - Elsevier
A new avenue of fractional calculus applications has emerged that investigates the design of
fractional gradient based novel iterative methods for analyzing fractals and nonlinear …

A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach

MS Aslam, MAZ Raja - Signal Processing, 2015 - Elsevier
In this paper, a new adaptive strategy based on fractional signal processing is proposed
using multi-directional step size fractional least mean square algorithm for online secondary …

Generalization of the gradient method with fractional order gradient direction

Y Wei, Y Kang, W Yin, Y Wang - Journal of the Franklin Institute, 2020 - Elsevier
Fractional calculus is an efficient tool, which has the potential to improve the performance of
gradient methods. However, when the first order gradient direction is generalized by …

Hierarchical quasi-fractional gradient descent method for parameter estimation of nonlinear ARX systems using key term separation principle

NI Chaudhary, MAZ Raja, ZA Khan, KM Cheema… - Mathematics, 2021 - mdpi.com
Recently, a quasi-fractional order gradient descent (QFGD) algorithm was proposed and
successfully applied to solve system identification problem. The QFGD suffers from the …

Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems

MAZ Raja, NI Chaudhary - Signal Processing, 2015 - Elsevier
In the present study, single and two-stage least mean square (LMS) adaptive strategies
based on fractional signal processing are developed for parameter estimation of controlled …