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We study the problem of recovering the sparsity pattern of block-sparse signals from noise-corrupted measurements. A simple, efficient recovery method, namely, a block-version of the orthogonal matching pursuit (OMP) method, is considered…

Information Theory · Computer Science 2011-09-27 Jun Fang , Hongbin Li

The U.S. global position system (GPS) is one of the existing global navigation satellite systems (GNSS) that provides position and time information for users in civil, commercial and military backgrounds. Because of its reliance on many…

Signal Processing · Electrical Eng. & Systems 2019-07-08 Erick Schmidt , Zach A. Ruble , David Akopian , Daniel J. Pack

As an extension of orthogonal matching pursuit (OMP) improving the recovery performance of sparse signals, generalized OMP (gOMP) has recently been studied in the literature. In this paper, we present a new analysis of the gOMP algorithm…

Information Theory · Computer Science 2015-06-15 Jian Wang , Suhyuk Kwon , Ping Li , Byonghyo Shim

In this letter, we propose a sparsity promoting feedback acquisition and reconstruction scheme for sensing, encoding and subsequent reconstruction of spectrally sparse signals. In the proposed scheme, the spectral components are estimated…

Information Theory · Computer Science 2017-11-28 Mahdi Boloursaz Mashhadi , Saeed Gazor , Nazanin Rahnavard , Farokh Marvasti

Consider the compressed sensing setup where the support $s^*$ of an $m$-sparse $d$-dimensional signal $x$ is to be recovered from $n$ linear measurements with a given algorithm. Suppose that the measurements are such that the algorithm does…

Information Theory · Computer Science 2021-03-10 Mohammad Mehrabi , Aslan Tchamkerten

Clipping is one of the simplest peak-to-average power ratio (PAPR) reduction schemes for orthogonal frequency division multiplexing (OFDM). Deliberately clipping the transmission signal degrades system performance, and clipping mitigation…

Applications · Statistics 2014-10-22 Anum Ali , Abdullatif Al-Rabah , Mudassir Masood , Tareq Y. Al-Naffouri

This paper considers a recently emerged hyperspectral unmixing formulation based on sparse regression of a self-dictionary multiple measurement vector (SD-MMV) model, wherein the measured hyperspectral pixels are used as the dictionary.…

Machine Learning · Statistics 2015-10-28 Xiao Fu , Wing-Kin Ma , Tsung-Han Chan , José M. Bioucas-Dias

Direction of Arrival (DOA) estimation of multiple narrow-band coherent or partially coherent sources is a major challenge in array signal processing. Though many subspace- based algorithms are available in literature, none of them tackle…

Information Theory · Computer Science 2018-01-26 Abhishek Aich , P. Palanisamy

We consider the block orthogonal multi-matching pursuit (BOMMP) algorithm for the recovery of block sparse signals. A sharp bound is obtained for the exact reconstruction of block $K$-sparse signals via the BOMMP algorithm in the noiseless…

Information Theory · Computer Science 2017-08-02 Wengu Chen , Huanmin Ge

Frequency recovery/estimation from discrete samples of superimposed sinusoidal signals is a classic yet important problem in statistical signal processing. Its research has recently been advanced by atomic norm techniques which exploit…

Information Theory · Computer Science 2016-05-31 Zai Yang , Lihua Xie

Sparse dictionary learning (SDL) has become a popular method for adaptively identifying parsimonious representations of a dataset, a fundamental problem in machine learning and signal processing. While most work on SDL assumes a training…

Statistics Theory · Mathematics 2018-02-27 Shashank Singh , Barnabás Póczos , Jian Ma

Recovering the support of sparse vectors in underdetermined linear regression models, \textit{aka}, compressive sensing is important in many signal processing applications. High SNR consistency (HSC), i.e., the ability of a support recovery…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Sreejith Kallummil , Sheetal Kalyani

We study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

Methodology · Statistics 2016-01-01 Jian Wang , Ping Li

This paper introduces an expectation-maximization (EM) algorithm within a wavelet domain Bayesian framework for semi-blind channel estimation of multiband OFDM based UWB communications. A prior distribution is chosen for the wavelet…

Networking and Internet Architecture · Computer Science 2007-08-13 Sajad Sadough , Mahieddine Ichir , Emmanuel Jaffrot , Pierre Duhamel

Adaptive interference cancellation is rapidly becoming a necessity for our modern wireless communication systems, due to the proliferation of wireless devices that interfere with each other. To cancel interference, digital beamforming…

Machine Learning · Computer Science 2021-03-09 Shuang Li , Payam Nayeri , Michael B. Wakin

This work examines the multi-view compressive phase retrieval problem in a distributed sensor network, where each sensor device, limited by storage and sensing capabilities, can access only intensity measurements from an unknown part of the…

Information Theory · Computer Science 2025-06-02 Ming-Hsun Yang

This paper investigates the sparse channel estimation for holographic multiple-input multiple-output (HMIMO) systems. Given that the wavenumber-domain representation is based on a series of Fourier harmonics that are in essence a series of…

Signal Processing · Electrical Eng. & Systems 2024-06-14 Yuqing Guo , Yuanbin Chen , Ying Wang

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

Computer Vision and Pattern Recognition · Computer Science 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

Methodology · Statistics 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

The recovery of the underlying low-rank structure of clean data corrupted with sparse noise/outliers is attracting increasing interest. However, in many low-level vision problems, the exact target rank of the underlying structure and the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Anyong Qin , Lina Xian , Yongliang Yang , Taiping Zhang , Yuan Yan Tang