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For identifying the non-Gaussian impulsive noise systems, normalized LMP (NLMP) has been proposed to combat impulsive-inducing instability. However, the standard algorithm is without considering the inherent sparse structure distribution of…

Information Theory · Computer Science 2015-03-04 Wentao Ma , Hua Qu , Jihong Zhao , Badong Chen , Guan Gui

The proportionate normalized least mean square (PNLMS) algorithm and its variants are by far the most popular adaptive filters that are used to identify sparse systems. The convergence speed of the PNLMS algorithm, though very high…

Information Theory · Computer Science 2015-07-13 Rajib Lochan Das , Mrityunjoy Chackraborty

This paper revisits the CHAMPAGNE algorithm within the Sparse Bayesian Learning (SBL) framework and establishes its connection to reweighted sparse coding. We demonstrate that the SBL objective can be reformulated as a reweighted…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Dylan Sechet , Matthieu Kowalski , Samy Mokhtari , Bruno Torrésani

Compressed sensing aims at reconstructing sparse signals from significantly reduced number of samples, and a popular reconstruction approach is $\ell_1$-norm minimization. In this correspondence, a method called orthonormal expansion is…

Information Theory · Computer Science 2015-05-30 Zai Yang , Cishen Zhang , Jun Deng , Wenmiao Lu

The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows advantage in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a…

Information Theory · Computer Science 2017-01-12 Shuai Huang , Trac D. Tran

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

In-network distributed estimation of sparse parameter vectors via diffusion LMS strategies has been studied and investigated in recent years. In all the existing works, some convex regularization approach has been used at each node of the…

Machine Learning · Computer Science 2016-11-15 Bijit Kumar Das , Mrityunjoy Chakraborty , Jerónimo Arenas-García

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

Information Theory · Computer Science 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

A heuristic procedure based on novel recursive formulation of sinusoid (RFS) and on regression with predictive least-squares (LS) enables to decompose both uniformly and nonuniformly sampled 1-d signals into a sparse set of sinusoids (SSS).…

Information Theory · Computer Science 2017-04-13 Ivan Maric

Sensor placement plays a crucial role in graph signal recovery in underdetermined systems. In this paper, we present the graph-filtered regularized maximum likelihood (GFR-ML) estimator of graph signals, which integrates general graph…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Lital Dabush , Tirza Routtenberg

Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the l1-norm based convex optimization algorithm exhibits a phase transition between the…

Information Theory · Computer Science 2013-09-17 Mikko Vehkapera , Yoshiyuki Kabashima , Saikat Chatterjee

Initial ranging constitutes a part of the synchronization procedure employed by the wireless communication standards. This allows the base station (BS) to detect the subscriber stations (SS) that are willing to commence communication. In…

Information Theory · Computer Science 2015-05-25 Md Mashud Hyder , Kaushik Mahata

In this paper, we study several microphone channel selection and weighting methods for robust automatic speech recognition (ASR) in noisy conditions. For channel selection, we investigate two methods based on the maximum likelihood (ML)…

Sound · Computer Science 2016-10-04 Zhaofeng Zhang , Xiong Xiao , Longbiao Wang , EngSiong Chng , Haizhou Li

Graph sampling addresses the problem of selecting a node subset in a graph to collect samples, so that a K-bandlimited signal can be reconstructed in high fidelity. Assuming an independent and identically distributed (i.i.d.) noise model,…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Fen Wang , Gene Cheung , Yongchao Wang

Signal reconstruction in compressive sensing involves finding a sparse solution that satisfies a set of linear constraints. Several approaches to this problem have been considered in existing reconstruction algorithms. They each provide a…

Information Theory · Computer Science 2013-03-15 Christian Schou Oxvig , Patrick Steffen Pedersen , Thomas Arildsen , Torben Larsen

Robust Principal Component Analysis (RPCA) is a fundamental technique for decomposing data into low-rank and sparse components, which plays a critical role for applications such as image processing and anomaly detection. Traditional RPCA…

Machine Learning · Computer Science 2024-12-20 Kexin Li , You-wei Wen , Xu Xiao , Mingchao Zhao

Reconfigurable intelligent surfaces (RIS) can actively perform beamforming and have become a crucial enabler for wireless systems in the future. The direction-of-arrival (DOA) estimates of RIS received signals can help design the reflection…

Information Theory · Computer Science 2024-11-03 Canping Yu , Yingsong Li , Liping Li , Zhixiang Huang , Qingqing Wu , Rodrigo C. de Lamare

Graphical modelling techniques based on sparse selection have been applied to infer complex networks in many fields, including biology and medicine, engineering, finance, and social sciences. One structural feature of some of the networks…

Statistics Theory · Mathematics 2020-03-03 Annaliza McGillivray , Abbas Khalili , David A. Stephens

The signal to noise ratio (SNR) is one of the important measures for reducing the noise.A technique that uses a linear prediction error filter (LPEF) and an adaptive digital filter (ADF) to achieve noise reduction in a speech and image…

Networking and Internet Architecture · Computer Science 2011-10-12 R. Seshadri , N. Penchalaiah

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

Information Theory · Computer Science 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi
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