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While the filtered-x normalized least mean square (FxNLMS) algorithm is widely applied due to its simple structure and easy implementation for active noise control system, it faces two critical limitations: the fixed step-size causes a…

Information Theory · Computer Science 2026-01-26 Zhiyuan Li , Yi Yu , Hongsen He , Yuyu Zhu , Rodrigo C. de Lamare

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

Accurate channel estimation is essential for broadband wireless communications. As wireless channels often exhibit sparse structure, the adaptive sparse channel estimation algorithms based on normalized least mean square (NLMS) have been…

Information Theory · Computer Science 2013-11-07 Guan Gui , Linglong Dai , Shinya Kumagai , Fumiyuki Adachi

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

Information Theory · Computer Science 2013-11-07 Guan Gui , Shinya kumagai , Fumiyuki Adachi

In this article, we derive a new stepsize adaptation for the normalized least mean square algorithm (NLMS) by describing the task of linear acoustic echo cancellation from a Bayesian network perspective. Similar to the well-known Kalman…

Machine Learning · Statistics 2023-07-19 Christian Huemmer , Roland Maas , Walter Kellermann

Invariable step size based least-mean-square error (ISS-LMS) was considered as a very simple adaptive filtering algorithm and hence it has been widely utilized in many applications, such as adaptive channel estimation. It is well known that…

Information Theory · Computer Science 2015-01-29 Beiyi Liu , Guan Gui , Li Xu , Nobuhiro Shimoi

To estimate multiple-input multiple-output (MIMO) channels, invariable step-size normalized least mean square (ISSNLMS) algorithm was applied to adaptive channel estimation (ACE). Since the MIMO channel is often described by sparse channel…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Lin Shan , Fumiyuki Adachi

Recently a framework has been introduced within which a large number of classical and modern adaptive filter algorithms can be viewed as special cases. Variable Step-Size (VSS) normalized least mean square (VSSNLMS) and VSS Affine…

Information Theory · Computer Science 2011-06-07 Sayed A. Hadei , Paeiz Azmi

When the input signal is correlated input signals, and the input and output signal is contaminated by Gaussian noise, the total least squares normalized subband adaptive filter (TLS-NSAF) algorithm shows good performance. However, when it…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Haiquan Zhao , Zian Cao , Yida Chen

Limited by fixed step-size and sparsity penalty factor, the conventional sparsity-aware normalized subband adaptive filtering (NSAF) type algorithms suffer from trade-off requirements of high filtering accurateness and quicker convergence…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Dongxu Liu , Haiquan Zhao , Yang Zhou

Frequency offsets-compensated least mean squares (FO-LMS) algorithm is a generic method for estimating a wireless channel under carrier and sampling frequency offsets when the transmitted signal is beforehand known to the receiver. The…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Karel Pärlin , Aaron Byman , Tommi Meriläinen , Taneli Riihonen

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

A new Lp-norm constraint least mean square (Lp-LMS) algorithm with new strategy of varying p is presented, which is applied to system identification in this letter. The parameter p is iteratively adjusted by the gradient method applied to…

Systems and Control · Computer Science 2016-03-31 Yong Feng , Fei Chen , Jiasong Wu

There is a need to improve the capability of the adaptive filtering algorithm against Gaussian or multiple types of non-Gaussian noises, time-varying system, and systems with low SNR. In this paper, we propose an optimized least mean…

Signal Processing · Electrical Eng. & Systems 2019-08-23 Sihai Guan , Chun Meng , Bharat Biswal

As one of the recently proposed algorithms for sparse system identification, $l_0$ norm constraint Least Mean Square ($l_0$-LMS) algorithm modifies the cost function of the traditional method with a penalty of tap-weight sparsity. The…

Information Theory · Computer Science 2015-06-04 Guolong Su , Jian Jin , Yuantao Gu , Jian Wang

This paper proposes an improved variable step-size (VSS) algorithm for the recently introduced affine projection sign algorithm (APSA) based on the recovery of the near-end signal energy in the error signal. Simulation results demonstrate…

Other Computer Science · Computer Science 2013-11-22 Jianming Liu , Steven L. Grant

Proportionate-type normalized suband adaptive filter (PNSAF-type) algorithms are very attractive choices for echo cancellation. To further obtain both fast convergence rate and low steady-state error, in this paper, a variable step size…

Systems and Control · Computer Science 2017-06-30 Yi Yu , Haiquan Zhao

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

Least mean square (LMS) type adaptive algorithms have attracted much attention due to their low computational complexity. In the scenarios of sparse channel estimation, zero-attracting LMS (ZA-LMS), reweighted ZA-LMS (RZA-LMS) and…

Systems and Control · Computer Science 2015-04-14 Beiyi Liu , Guan Gui , Li Xu

The bias-compensated set-membership normalised LMS (BCSMNLMS) algorithm is proposed based on the concept of set-membership filtering, which incorporates the bias-compensation technique to mitigate the negative effect of noisy inputs.…

Systems and Control · Computer Science 2018-04-20 Kaili Yin , Haiquan Zhao , Lu Lu
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