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Adaptive filters are applicable to many signal processing tasks including acoustic echo cancellation, beamforming, and more. Adaptive filters are typically controlled using algorithms such as least-mean squares(LMS), recursive least…

Sound · Computer Science 2022-09-22 Junkai Wu , Jonah Casebeer , Nicholas J. Bryan , Paris Smaragdis

Presented is a new algorithm for estimating the frequency of a single-tone noisy signal using linear least squares (LLS). Frequency estimation is a nonlinear problem, and typically, methods such as Nonlinear Least Squares (NLS) (batch) or a…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Solomon Davis , Izhak Bucher

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang

The total least squares~(TLS) method is widely used in data-fitting. Compared with the least squares fitting method, the TLS fitting takes into account not only observation errors, but also errors from the measurement matrix of the…

Quantum Physics · Physics 2019-06-05 Hefeng Wang , Hua Xiang

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest and parameters of global interest to the whole network. To address the…

Systems and Control · Computer Science 2014-07-02 Nikola Bogdanović , Jorge Plata-Chaves , Kostas Berberidis

The a posteriori error estimator using the least-squares functional can be used for adaptive mesh refinement and error control even if the numerical approximations are not obtained from the corresponding least-squares method. This suggests…

Numerical Analysis · Mathematics 2024-07-19 Ziyan Li , Shun Zhang

In this paper, we consider a least-squares (LS)-based distributed algorithm build on a sensor network to estimate an unknown parameter vector of a dynamical system, where each sensor in the network has partial information only but is…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Siyu Xie , Yaqi Zhang , Lei Guo

We present a unified large system analysis of linear receivers for a class of random matrix channels. The technique unifies the analysis of both the minimum-mean-squared-error (MMSE) receiver and the adaptive least-squares (ALS) receiver,…

Information Theory · Computer Science 2009-09-29 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

Nonlinear self-interference cancellation (SIC) is essential for full-duplex communication systems, which can offer twice the spectral efficiency of traditional half-duplex systems. The challenge of nonlinear SIC is similar to the classic…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Hyowon Lee , Jungyeon Kim , Geon Choi , Ian P. Roberts , Jinseok Choi , Namyoon Lee

This paper gives a broader insight on the application of adaptive filter in noise cancellation during various processes where signal is transmitted. Adaptive filtering techniques like RLS, LMS and normalized LMS are used to filter the input…

Sound · Computer Science 2020-02-19 Pratibha Balaji , Shruthi Narayan , Durga Sraddha , Bharath K P , Karthik R , Rajesh Kumar Muthu

The problem of fitting experimental data to a given model function $f(t; p_1,p_2,\dots,p_N)$ is conventionally solved numerically by methods such as that of Levenberg-Marquardt, which are based on approximating the Chi-squared measure of…

Optimization and Control · Mathematics 2017-03-14 Alberto Herrera-Gomez , R. Michael Porter

We propose a photonic adaptive Least-Mean-Squares equalizer with an opto-electronic feedback loop to determine the updating of an optical Finite-Impulse-Response filter's weights, enabling dispersion compensation introduced by 30-km fiber…

Signal Processing · Electrical Eng. & Systems 2021-11-10 Xumeng Liu , Xingyuan Xu , Arthur James Lowery

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing (CS) in many applications such as Radar imaging and sparse channel estimation. Unlike the NSS, in this paper, we propose an adaptive sparse…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Xiao-mei Zhu , Zhang-xin Chen

The analysis of adaptive carrier phase estimation is investigated in long-haul high speed n-level phase shift keying (n-PSK) optical fiber communication systems based on the one-tap normalized least-mean-square (LMS) algorithm. The…

Information Theory · Computer Science 2016-11-15 Tianhua Xu , Tiegen Liu , Yimo Zhang , Gunnar Jacobsen , Jie Li , Sergei Popov

To keep massive MIMO systems cost-efficient, power amplifiers with rather small output dynamic ranges are employed. They may distort the transmit signal and degrade the performance. This paper proposes a distortion aware precoding scheme…

Signal Processing · Electrical Eng. & Systems 2019-05-15 Ali Bereyhi , Saba Asaad , Ralf R. Müller , Symeon Chatzinotas

Recently, quaternion-valued signal processing has received more and more attention. In this paper, the quaternion-valued sparse system identification problem is studied for the first time and a zero-attracting quaternion-valued least mean…

Numerical Analysis · Mathematics 2014-06-24 Mengdi Jiang , Wei Liu , Yi Li

Adaptive control strategies usually are designed based on gradient methods for the sake of simplicity in Lyapunov analysis. However, least squares (LS)-based parameter identifiers, with proper selection of design parameters, exhibit better…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Nursefa Zengin , Baris Fidan , Ladan Khoshnevisan

Parallel transmission has been a very promising candidate technology to mitigate the inevitable radio-frequency field inhomogeneity in magnetic resonance imaging (MRI) at ultra-high field (UHF). For the first few years, pulse design…

Instrumentation and Detectors · Physics 2013-11-06 Andres Hoyos Idrobo , Pierre Weiss , Aurélien Massire , Alexis Amadon , Nicolas Boulant

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 order to improve the performance of least mean square (LMS)-based adaptive filtering for identifying block-sparse systems, a new adaptive algorithm called block-sparse LMS (BS-LMS) is proposed in this paper. The basis of the proposed…

Information Theory · Computer Science 2015-10-28 Shuyang Jiang , Yuantao Gu