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Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. The classical theory typically considers either random linear…

With the advent of ubiquitous computing there are two design parameters of wireless communication devices that become very important power: efficiency and production cost. Compressive sensing enables the receiver in such devices to sample…

信息论 · 计算机科学 2016-11-15 Karsten Fyhn , Tobias Lindstrøm Jensen , Torben Larsen , Søren Holdt Jensen

Compressed sensing (CS) is a sampling paradigm that allows to simultaneously measure and compress signals that are sparse or compressible in some domain. The choice of a sensing matrix that carries out the measurement has a defining impact…

信息论 · 计算机科学 2017-08-02 Anastasia Lavrenko , Florian Roemer , Giovanni Del Galdo , Reiner Thomae

Compressed sensing (sparse signal recovery) has been a popular and important research topic in recent years. By observing that natural signals are often nonnegative, we propose a new framework for nonnegative signal recovery using…

统计方法学 · 统计学 2013-10-04 Ping Li , Cun-Hui Zhang , Tong Zhang

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

机器学习 · 计算机科学 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

Compressive Sensing (CS) theory shows that a signal can be decoded from many fewer measurements than suggested by the Nyquist sampling theory, when the signal is sparse in some domain. Most of conventional CS recovery approaches, however,…

计算机视觉与模式识别 · 计算机科学 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Compressed Sensing (CS) is a signal processing technique which can accurately recover sparse signals from linear measurements with far fewer number of measurements than those required by the classical Shannon-Nyquist theorem. Block sparse…

信息论 · 计算机科学 2019-01-30 Haifeng Li , Jinming Wen

Recent development in compressed sensing (CS) has revealed that the use of a special design of measurement matrix, namely the spatially-coupled matrix, can achieve the information-theoretic limit of CS. In this paper, we consider the…

信息论 · 计算机科学 2014-02-14 Chao-Kai Wen , Kai-Kit Wong

In high-dimensional statistical inference in which the number of parameters to be estimated is larger than that of the holding data, regularized linear estimation techniques are widely used. These techniques have, however, some drawbacks.…

统计方法学 · 统计学 2025-08-06 Takashi Takahashi , Yoshiyuki Kabashima

In recent years, compressed sensing (CS) has been applied in the field of synthetic aperture radar (SAR) imaging and shows great potential. The existing models are, however, based on application of the sensing matrix acquired by the exact…

信息论 · 计算机科学 2014-05-23 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

In the Cognitive Compressive Sensing (CCS) problem, a Cognitive Receiver (CR) seeks to optimize the reward obtained by sensing an underlying $N$ dimensional random vector, by collecting at most $K$ arbitrary projections of it. The $N$…

信息论 · 计算机科学 2014-01-27 Saeed Bagheri , Anna Scaglione

Compressive sensing (CS) allows for acquisition of sparse signals at sampling rates significantly lower than the Nyquist rate required for bandlimited signals. Recovery guarantees for CS are generally derived based on the assumption that…

信息论 · 计算机科学 2014-10-22 Adam C. Polak , Marco F. Duarte , Dennis L. Goeckel

We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more general types of structured sparsity arising in a variety of…

数值分析 · 数学 2022-01-03 Florian Boßmann , Sara Krause-Solberg , Johannes Maly , Nada Sissouno

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

信息论 · 计算机科学 2013-02-26 M. A. Iwen

Compressed sensing (CS) or sparse signal reconstruction (SSR) is a signal processing technique that exploits the fact that acquired data can have a sparse representation in some basis. One popular technique to reconstruct or approximate the…

信息论 · 计算机科学 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen

Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is, columns from the sensing matrix are highly uncorrelated. However, sensing systems with naturally occurring correlations arise in many applications,…

信息论 · 计算机科学 2017-08-29 Tobias Birnbaum , Yonina C. Eldar , Deanna Needell

This paper proposes compressed domain signal processing (CSP) multiple input multiple output (MIMO) radar, a MIMO radar approach that achieves substantial sample complexity reduction by exploiting the idea of CSP. CSP MIMO radar involves…

信号处理 · 电气工程与系统科学 2020-06-18 Ehsan Tohidi , Alireza Hariri , Hamid Behroozi , Mohammad Mahdi Nayebi , Geert Leus , Athina Petropulu

In oversampled adaptive sensing (OAS), noisy measurements are collected in multiple subframes. The sensing basis in each subframe is adapted according to some posterior information exploited from previous measurements. The framework is…

信息论 · 计算机科学 2019-12-11 Ali Bereyhi , Ralf R. Müller

Consider the problem of recovering an unknown signal from undersampled measurements, given the knowledge that the signal has a sparse representation in a specified dictionary $D$. This problem is now understood to be well-posed and…

信息论 · 计算机科学 2015-06-09 Felix Krahmer , Deanna Needell , Rachel Ward