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A new reweighted l1-norm penalized least mean square (LMS) algorithm for sparse channel estimation is proposed and studied in this paper. Since standard LMS algorithm does not take into account the sparsity information about the channel…

信息论 · 计算机科学 2014-05-09 Omid Taheri , Sergiy A. Vorobyov

We consider estimating a piecewise-constant image, or a gradient-sparse signal on a general graph, from noisy linear measurements. We propose and study an iterative algorithm to minimize a penalized least-squares objective, with a penalty…

机器学习 · 统计学 2019-05-16 Sheng Xu , Zhou Fan

In graph signal processing (GSP), prior information on the dependencies in the signal is collected in a graph which is then used when processing or analyzing the signal. Blind source separation (BSS) techniques have been developed and…

统计方法学 · 统计学 2021-09-21 Jari Miettinen , Eyal Nitzan , Sergiy A. Vorobyov , Esa Ollila

Generalized compressed sensing (GCS) is a paradigm in which a structured high-dimensional signal may be recovered from random, under-determined, and corrupted linear measurements. Generalized Lasso (GL) programs are effective for solving…

信息论 · 计算机科学 2022-08-25 Aaron Berk , Yaniv Plan , Özgür Yilmaz

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…

量子物理 · 物理学 2019-06-05 Hefeng Wang , Hua Xiang

Accurate knowledge of transmission line parameters is essential for a variety of power system monitoring, protection, and control applications. The use of phasor measurement unit (PMU) data for transmission line parameter estimation (TLPE)…

信号处理 · 电气工程与系统科学 2022-08-30 Antos Cheeramban Varghese , Anamitra Pal , Gautam Dasarathy

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…

信号处理 · 电气工程与系统科学 2019-04-17 Solomon Davis , Izhak Bucher

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 $q$…

最优化与控制 · 数学 2018-01-03 Shujaat Khan , Alishba Sadiq , Imran Naseem , Roberto Togneri , Mohammed Bennamoun

In this work, we are interested in adaptive and distributed estimation of graph filters from streaming data. We formulate this problem as a consensus estimation problem over graphs, which can be addressed with diffusion LMS strategies. Most…

信号处理 · 电气工程与系统科学 2019-12-13 Fei Hua , Roula Nassif , Cédric Richard , Haiyan Wang , Ali H. Sayed

The underlying theme of this paper is to explore the various facets of power systems data through the lens of graph signal processing (GSP), laying down the foundations of the Grid-GSP framework. Grid-GSP provides an interpretation for the…

信号处理 · 电气工程与系统科学 2021-06-09 Raksha Ramakrishna , Anna Scaglione

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…

信号处理 · 电气工程与系统科学 2023-06-22 Mohd. Tasleem Khan , Oscar Gustafsson

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

机器学习 · 计算机科学 2024-06-13 Changhao Shi , Gal Mishne

Some system identification problems impose nonnegativity constraints on the parameters to estimate due to inherent physical characteristics of the unknown system. The nonnegative least-mean-square (NNLMS) algorithm and its variants allow to…

数值分析 · 计算机科学 2015-08-25 Jingen Ni , Jian Yang , Jie Chen , Cédric Richard , José Carlos M. Bermudez

Broadband signal transmission over frequency-selective fading channel often requires accurate channel state information at receiver. One of the most attracting adaptive channel estimation methods is least mean square (LMS) algorithm.…

信息论 · 计算机科学 2013-04-16 Guan Gui , Abolfazl Mehbodniya , Fumiyuki Adachi

The 2D Least Median of Squares (LMS) is a popular tool in robust regression because of its high breakdown point: up to half of the input data can be contaminated with outliers without affecting the accuracy of the LMS estimator. The…

计算机视觉与模式识别 · 计算机科学 2015-10-06 Gil Shapira , Tal Hassner

The paper investigates the problem of estimating the state of a time-varying system with a linear measurement model; in particular, the paper considers the case where the number of measurements available can be smaller than the number of…

系统与控制 · 电气工程与系统科学 2021-04-07 Guido Cavraro , Emiliano Dall'Anese , Joshua Comden , Andrey Bernstein

In order to function reliably, synthetic molecular circuits require mechanisms that allow them to adapt to environmental disturbances. Least mean squares (LMS) schemes, such as commonly encountered in signal processing and control, provide…

分子网络 · 定量生物学 2017-01-04 Christoph Zechner , Mustafa Khammash

Channel estimation problem is one of the key technical issues in time-variant multiple-input single-output (MSIO) communication systems. To estimate the MISO channel, least mean square (LMS) algorithm is applied to adaptive channel…

信息论 · 计算机科学 2013-02-07 Guan Gui , Wei Peng , Abolfazl Mehbodniya , Fumiyuki Adachi

The classical iteratively reweighted least-squares (IRLS) algorithm aims to recover an unknown signal from linear measurements by performing a sequence of weighted least squares problems, where the weights are recursively updated at each…

机器学习 · 统计学 2024-06-06 Chiraag Kaushik , Justin Romberg , Vidya Muthukumar

We develop a recursive least square (RLS) type algorithm with a minimax concave penalty (MCP) for adaptive identification of a sparse tap-weight vector that represents a communication channel. The proposed algorithm recursively yields its…

信号处理 · 电气工程与系统科学 2023-04-03 Bowen Li , Suya Wu , Erin E. Tripp , Ali Pezeshki , Vahid Tarokh