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In this research, a novel adaptive filtering algorithm is proposed for complex domain signal processing. The proposed algorithm is based on Wirtinger calculus and is called as q-Complex Least Mean Square (q-CLMS) algorithm. The proposed…

Information Theory · Computer Science 2021-10-12 Alishba Sadiq , Imran Naseem , Shujaat Khan , Muhammad Moinuddin , Roberto Togneri , Mohammed Bennamoun

This paper introduces a novel constraint adaptive filtering algorithm based on a relative logarithmic cost function which is termed as Constrained Least Mean Logarithmic Square (CLMLS). The proposed CLMLS algorithm elegantly adjusts the…

Systems and Control · Computer Science 2018-01-22 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

The purpose of this note is to discuss some aspects of recently proposed fractional-order variants of complex least mean square (CLMS) and normalized least mean square (NLMS) algorithms in ``Design of Fractional-order Variants of Complex…

Optimization and Control · Mathematics 2020-07-28 Shujaat Khan , Abdul Wahab , Imran Naseem , Muhammad Moinuddin

We propose a novel adaptive kernel based regression method for complex-valued signals: the generalized complex-valued kernel least-mean-square (gCKLMS). We borrow from the new results on widely linear reproducing kernel Hilbert space…

Machine Learning · Statistics 2019-10-02 Rafael Boloix-Tortosa , Juan José Murillo-Fuentes , Sotirios A. Tsaftaris

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

Partial diffusion scheme is an effective method for reducing computational load and power consumption in adaptive network implementation. The Information is exchanged among the nodes, usually over noisy links. In this paper, we consider a…

Systems and Control · Computer Science 2015-12-01 Vahid Vadidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

In this paper, we propose an adaptive framework for the variable power of the fractional least mean square (FLMS) algorithm. The proposed algorithm named as robust variable power FLMS (RVP-FLMS) dynamically adapts the fractional power of…

Optimization and Control · Mathematics 2017-02-07 Jawwad Ahmad , Muhammad Usman , Shujaat Khan , Imran Naseem , Hassan Jamil Syed

In this paper, we propose an adaptive framework for the variable step size of the fractional least mean square (FLMS) algorithm. The proposed algorithm named the robust variable step size-FLMS (RVSS-FLMS), dynamically updates the step size…

Optimization and Control · Mathematics 2017-11-15 Shujaat Khan , Muhammad Usman , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

In this work, a new class of stochastic gradient algorithm is developed based on $q$-calculus. Unlike the existing $q$-LMS algorithm, the proposed approach fully utilizes the concept of $q$-calculus by incorporating time-varying $q$…

Optimization and Control · Mathematics 2018-01-03 Shujaat Khan , Alishba Sadiq , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

The so-called constrained least mean-square algorithm is one of the most commonly used linear-equality-constrained adaptive filtering algorithms. Its main advantages are adaptability and relative simplicity. In order to gain analytical…

Systems and Control · Computer Science 2015-02-26 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

Adaptive filtering algorithms operating in reproducing kernel Hilbert spaces have demonstrated superiority over their linear counterpart for nonlinear system identification. Unfortunately, an undesirable characteristic of these methods is…

Machine Learning · Statistics 2013-06-25 Wei Gao , Jie Chen , Cédric Richard , Jianguo Huang

Tuning a complex simulation code refers to the process of improving the agreement of a code calculation with respect to a set of experimental data by adjusting parameters implemented in the code. This process belongs to the class of inverse…

Computation · Statistics 2024-08-19 Yun Am Seo , Youngsaeng Lee , Jeong-Soo Park

The incremental least mean square (ILMS) algorithm was presented in \cite{Lopes2007}. The article included theoretical analysis of the algorithm along with simulation results under different scenarios. However, the transient analysis was…

Data Structures and Algorithms · Computer Science 2019-09-10 Muhammad Omer Bin Saeed

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

In real-time applications the characteristics and properties of a signal vary inconsistently. So, to maintain the integrity of such signals there is a need for effective adaptive filters. The conventional Least Mean Squared(LMS) algorithm…

Signal Processing · Electrical Eng. & Systems 2021-12-01 R Sankara Prasad

The kernel least mean squares (KLMS) algorithm is a computationally efficient nonlinear adaptive filtering method that "kernelizes" the celebrated (linear) least mean squares algorithm. We demonstrate that the least mean squares algorithm…

Machine Learning · Statistics 2013-10-22 Il Memming Park , Sohan Seth , Steven Van Vaerenbergh

We present AMPS, an augmented matrix approach to update the solution to a linear system of equations when the matrix is modified by a few elements within a principal submatrix. This problem arises in the dynamic security analysis of a power…

Computational Engineering, Finance, and Science · Computer Science 2017-06-14 Yu-Hong Yeung , Alex Pothen , Mahantesh Halappanavar , Zhenyu Huang

The least-mean-squares (LMS) algorithm is the most popular algorithm in adaptive filtering. Several variable step-size strategies have been suggested to improve the performance of the LMS algorithm. These strategies enhance the performance…

Data Structures and Algorithms · Computer Science 2017-03-22 Muhammad Omer Bin Saeed

In order to improve the least mean squares (LMS) adaptation algorithm to accommodate the nonlinear transfer function, and to adjust the coefficients of adaptive filter during the actual implement of bias voltage and signal amplitude,…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Zhengyang Zhang

In high sample-rate applications of the least-mean-square (LMS) adaptive filtering algorithm, pipelining or/and block processing is required. As opposed to earlier work, pipelining and block processing are jointly considered to obtain what…

Signal Processing · Electrical Eng. & Systems 2023-06-22 Mohd. Tasleem Khan , Oscar Gustafsson
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