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The problem of recovering a structured signal from its linear measurements in the presence of speckle noise is studied. This problem appears in many imaging systems such as synthetic aperture radar and optical coherence tomography. The…

Information Theory · Computer Science 2021-08-03 Wenda Zhou , Shirin Jalali , Arian Maleki

In many practical applications such as direction-of-arrival (DOA) estimation and line spectral estimation, the sparsifying dictionary is usually characterized by a set of unknown parameters in a continuous domain. To apply the conventional…

Information Theory · Computer Science 2015-06-18 Jun Fang , Jing Li , Yanning Shen , Hongbin Li , Shaoqian Li

Traditional compressed sensing considers sampling a 1D signal. For a multidimensional signal, if reshaped into a vector, the required size of the sensing matrix becomes dramatically large, which increases the storage and computational…

Information Theory · Computer Science 2016-11-17 Hao Fang , Sergiy A. Vorobyov , Hai Jiang , Omid Taheri

This paper addresses the structurally-constrained sparse decomposition of multi-dimensional signals onto overcomplete families of vectors, called dictionaries. The contribution of the paper is threefold. Firstly, a generic spatio-temporal…

Data Structures and Algorithms · Computer Science 2016-10-03 Yoann Isaac , Quentin Barthélemy , Cédric Gouy-Pailler , Michèle Sebag , Jamal Atif

The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

Numerical Analysis · Mathematics 2014-04-02 Guangliang Chen , Atul Divekar , Deanna Needell

Channel acquisition is one of the main challenges for the deployment of reconfigurable intelligent surface (RIS) aided communication systems. This is because an RIS has a large number of reflective elements, which are passive devices with…

Signal Processing · Electrical Eng. & Systems 2023-02-16 Jie Chen , Ying-Chang Liang , Hei Victor Cheng , Wei Yu

Sentiment signals derived from sparse news are commonly used in financial analysis and technology monitoring, yet transforming raw article-level observations into reliable temporal series remains a largely unsolved engineering problem.…

Machine Learning · Computer Science 2026-03-26 Stefania Stan , Marzio Lunghi , Vito Vargetto , Claudio Ricci , Rolands Repetto , Brayden Leo , Shao-Hong Gan

Common problem in signal processing is reconstruction of the missing signal samples. Missing samples can occur by intentionally omitting signal coefficients to reduce memory requirements, or to speed up the transmission process. Also, noisy…

Information Theory · Computer Science 2015-03-02 Slavoljub Jokić , Ljindita Niković , Jelena Kadović

For massive multiple-input multiple-output (MIMO) systems operating in frequency-division duplex mode, downlink channel state information (CSI) acquisition will incur large overhead. This overhead is substantially reduced when sparse…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Pengxia Wu , Julian Cheng

We investigate the problems of 1-D and 2-D signal recovery from subsampled Hadamard measurements using Haar wavelet sparsity prior. These problems are of interest in, e.g., computational imaging applications relying on optical multiplexing…

Information Theory · Computer Science 2019-07-24 Amirafshar Moshtaghpour , José M. Bioucas Dias , Laurent Jacques

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

Information Theory · Computer Science 2015-07-03 Yipeng Liu

Given an overcomplete dictionary $A$ and a signal $b$ that is a linear combination of a few linearly independent columns of $A$, classical sparse recovery theory deals with the problem of recovering the unique sparse representation $x$ such…

Machine Learning · Statistics 2015-07-07 C. You , R. Vidal

In this paper, we address the problem of reconstructing multiband signals from modulo-folded, pointwise samples within the Unlimited Sensing Framework (USF). Focusing on a low-complexity, single-channel acquisition setup, we establish…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Gal Shtendel , Ayush Bhandari

In this work we propose an autoencoder based framework for simultaneous reconstruction and classification of biomedical signals. Previously these two tasks, reconstruction and classification were treated as separate problems. This is the…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Anupriya Gogna , Angshul Majumdar , Rabab Ward

Multi-energy computed tomography (CT) with photon counting detectors (PCDs) enables spectral imaging as PCDs can assign the incoming photons to specific energy channels. However, PCDs with many spectral channels drastically increase the…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Satu I. Inkinen , Mikael A. K. Brix , Miika T. Nieminen , Simon Arridge , Andreas Hauptmann

This paper introduces recovery thresholding hyperinterpolations, a novel class of methods for sparse signal reconstruction in the presence of noise. We develop a framework that integrates thresholding operators--including hard thresholding,…

Numerical Analysis · Mathematics 2025-07-25 Congpei An , Jiashu Ran

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

Information Theory · Computer Science 2013-11-01 Ankit Kundu , Pradosh K. Roy

Recovering an unknown but structured signal from its measurements is a challenging problem with significant applications in fields such as imaging restoration, wireless communications, and signal processing. In this paper, we consider the…

Information Theory · Computer Science 2026-01-09 Yijun Zhong , Yi Shen

Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich
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