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 family of robust adaptive filtering algorithms based on sigmoid cost

F Huang, J Zhang, S Zhang - signal processing, 2018 - Elsevier
In this paper, a new framework of cost function for designing robust adaptive filtering
algorithms is developed. This new cost framework, called sigmoid cost function, results from …

Steady-state mean-square error analysis for adaptive filtering under the maximum correntropy criterion

B Chen, L Xing, J Liang, N Zheng… - IEEE signal …, 2014 - ieeexplore.ieee.org
The steady-state excess mean square error (EMSE) of the adaptive filtering under the
maximum correntropy criterion (MCC) has been studied. For Gaussian noise case, we …

Constrained least lncosh adaptive filtering algorithm

T Liang, Y Li, YV Zakharov, W Xue, J Qi - Signal Processing, 2021 - Elsevier
We propose a constrained least lncosh (CLL) adaptive filtering algorithm, which, as we
show, provides better performance than other algorithms in impulsive noise environment …

Optimal design of fractional order low pass Butterworth filter with accurate magnitude response

S Mahata, SK Saha, R Kar, D Mandal - Digital Signal Processing, 2018 - Elsevier
Abstract The design of (1+ α) order, 0< α< 1, low pass Butterworth filter approximated in
terms of an integer order continuous-time transfer function using a nature-inspired …

Parameter estimation of fractional‐order Hammerstein state space system based on the extended Kalman filter

Y Bi, Y Ji - International Journal of Adaptive Control and Signal …, 2023 - Wiley Online Library
This paper addresses the combined estimation issues of the parameters and states for
fractional‐order Hammerstein state space systems with colored noises. An extended state …

A novel family of adaptive filtering algorithms based on the logarithmic cost

MO Sayin, ND Vanli, SS Kozat - IEEE Transactions on signal …, 2014 - ieeexplore.ieee.org
We introduce a novel family of adaptive filtering algorithms based on a relative logarithmic
cost inspired by the “competitive methods” from the online learning literature. The …

Adaptive filters employing partial updates

SC Douglas - IEEE Transactions on Circuits and Systems II …, 1997 - ieeexplore.ieee.org
In some adaptive filtering applications, the least-mean-square (LBIS) algorithm may be too
computationally-and memory-intensive to implement. In this paper, we analyze two adaptive …

Logarithmic hyperbolic cosine adaptive filter and its performance analysis

S Wang, W Wang, K Xiong, HHC Iu… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
The hyperbolic cosine function with high-order errors can be utilized to improve the accuracy
of adaptive filters. However, when initial weight errors are large, the hyperbolic cosine …

Two‐stage gradient‐based iterative algorithms for the fractional‐order nonlinear systems by using the hierarchical identification principle

J Wang, Y Ji, X Zhang, L Xu - International Journal of Adaptive …, 2022 - Wiley Online Library
This article focuses on the parameter estimation issues for a fractional‐order nonlinear
system with autoregressive noise. In the process, the challenge and difficulty are to identify …