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To overcome the tradeoff of the conventional normalized least mean square (NLMS) algorithm between fast convergence rate and low steady-state misalignment, this paper proposes a variable step size (VSS) NLMS algorithm by devising a new…

Systems and Control · Computer Science 2015-04-22 Yi Yu , Haiquan Zhao

The selective fixed-filter active noise control (SFANC) method selecting the best pre-trained control filters for various types of noise can achieve a fast response time. However, it may lead to large steady-state errors due to inaccurate…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Zhengding Luo , Dongyuan Shi , Woon-Seng Gan

The Filtered-x Normalized Least Mean Square (FxNLMS) algorithm suffers from slow convergence and a risk of divergence, although it can achieve low steady-state errors after sufficient adaptation. In contrast, the Generative Fixed-Filter…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-28 Zhengding Luo , Haozhe Ma , Boxiang Wang , Ziyi Yang , Dongyuan Shi , Woon-Seng Gan

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

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

Multichannel active noise control (MCANC) is widely utilized to achieve significant noise cancellation area in the complicated acoustic field. Meanwhile, the filter-x least mean square (FxLMS) algorithm gradually becomes the benchmark…

Audio and Speech Processing · Electrical Eng. & Systems 2023-08-08 Dongyuan Shi , Woon-Seng Gan , Bhan Lam , Shulin Wen , Xiaoyi Shen

Active noise control (ANC) is an effective approach to noise suppression, and the filtered-reference least mean square (FxLMS) algorithm is a widely adopted method in ANC systems, owing to its computational efficiency and stable…

Signal Processing · Electrical Eng. & Systems 2026-03-10 Luyuan Li , Jisheng Bai , Xiruo Su , Xiaoyi Shen , Dongyuan Shi , Woon-seng Gan

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

Filtered-X LMS (FxLMS) is commonly used for active noise control (ANC), wherein the soundfield is minimized at a desired location. Given prior knowledge of the spatial region of the noise or control sources, we could improve FxLMS by…

Machine Learning · Computer Science 2026-02-25 Kanad Sarkar , Austin Lu , Manan Mittal , Yongjie Zhuang , Ryan Corey , Andrew Singer

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

Several approaches have been introduced in literature for active noise control (ANC) systems. Since FxLMS algorithm appears to be the best choice as a controller filter, researchers tend to improve performance of ANC systems by enhancing…

Other Computer Science · Computer Science 2010-04-28 P. Babu , A. Krishnan

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

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

The objective of this research is to employ cutting-edge active noise control methodologies in order to mitigate the noise emissions produced by electrical appliances, such as a coffee machine. The algorithm utilized in this study is the…

Signal Processing · Electrical Eng. & Systems 2023-11-28 Wang Zhaohan

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

An interference-normalised least mean square (INLMS) algorithm for robust adaptive filtering is proposed. The INLMS algorithm extends the gradient-adaptive learning rate approach to the case where the signals are non-stationary. In…

Systems and Control · Computer Science 2016-02-29 Jean-Marc Valin , Iain B. Collings

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

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

This paper proposes an online secondary path modelling (SPM) technique to improve the performance of the modified filtered reference Least Mean Square (FXLMS) algorithm. It can effectively respond to a time-varying secondary path, which…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-21 Junwei Ji , Dongyuan Shi , Woon-Seng Gan , Xiaoyi Shen , Zhengding Luo
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