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Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via multiplicative…

信息论 · 计算机科学 2010-11-12 Nam Yul Yu

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

Compressed sensing (CS) model of complex-valued data can represent the signal recovery process of a large amount types of radar systems, especially when the measurement matrix is row-orthogonal. Based on debiased least absolute shrinkage…

信号处理 · 电气工程与系统科学 2023-07-28 Siqi Na , Tianyao Huang , Yimin Liu , Takashi Takahashi , Yoshiyuki Kabashima , Xiqin Wang

Practical applications of compressed sensing often restrict the choice of its two main ingredients. They may (i) prescribe using particular redundant dictionaries for certain classes of signals to become sparsely represented, or (ii)…

信号处理 · 电气工程与系统科学 2024-07-31 Jinn Ho , Wen-Liang Hwang , Andreas Heinecke

The recently introduced theory of compressive sensing (CS) enables the reconstruction of sparse or compressible signals from a small set of nonadaptive, linear measurements. If properly chosen, the number of measurements can be…

We study the compressed sensing (CS) signal estimation problem where an input signal is measured via a linear matrix multiplication under additive noise. While this setup usually assumes sparsity or compressibility in the input signal…

信息论 · 计算机科学 2014-12-23 Junan Zhu , Dror Baron , Marco F. Duarte

Inspired by significant real-life applications, in particular, sparse phase retrieval and sparse pulsation frequency detection in Asteroseismology, we investigate a general framework for compressed sensing, where the measurements are…

数值分析 · 数学 2017-09-04 Martin Ehler , Massimo Fornasier , Juliane Sigl

We propose a new technique for adaptive identification of sparse systems based on the compressed sensing (CS) theory. We manipulate the transmitted pilot (input signal) and the received signal such that the weights of adaptive filter…

信息论 · 计算机科学 2012-04-05 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

Xampling generalizes compressed sensing (CS) to reduced-rate sampling of analog signals. A unified framework is introduced for low rate sampling and processing of signals lying in a union of subspaces. Xampling consists of two main blocks:…

信息论 · 计算机科学 2015-03-19 Moshe Mishali , Yonina C. Eldar

Integrated sensing and communications (ISAC) is considered an innovative technology in sixth-generation (6G) wireless networks, where utilizing orthogonal frequency division multiplexing (OFDM) communication signals for sensing provides a…

信号处理 · 电气工程与系统科学 2025-10-15 Zhen Du , Jingjing Xu , Yifeng Xiong , Jie Wang , Musa Furkan Keskin , Henk Wymeersch , Fan Liu , Shi Jin

The recently introduced compressive sensing (CS) framework enables digital signal acquisition systems to take advantage of signal structures beyond bandlimitedness. Indeed, the number of CS measurements required for stable reconstruction is…

信息论 · 计算机科学 2015-05-30 Jason N. Laska , Richard G. Baraniuk

Optical systems which measure independent random projections of a scene according to compressed sensing (CS) theory face a myriad of practical challenges related to the size of the physical platform, photon efficiency, the need for high…

应用统计 · 统计学 2015-03-19 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

Compressed sensing (CS) is a signal processing framework for efficiently reconstructing a signal from a small number of measurements, obtained by linear projections of the signal. In this paper we present an end-to-end deep learning…

图像与视频处理 · 电气工程与系统科学 2019-06-26 Yochai Zur , Amir Adler

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

We consider the scenario in which multiple sensors send spatially correlated data to a fusion center (FC) via independent Rayleigh-fading channels with additive noise. Assuming that the sensor data is sparse in some basis, we show that the…

信息论 · 计算机科学 2015-06-12 Gang Yang , Vincent Y. F. Tan , Chin Keong Ho , See Ho Ting , Yong Liang Guan

Massive spatial modulation (SM)-MIMO, which employs massive low-cost antennas but few power-hungry transmit radio frequency (RF) chains at the transmitter, is recently proposed to provide both high spectrum efficiency and energy efficiency…

信息论 · 计算机科学 2016-11-15 Zhen Gao , Linglong Dai , Chenhao Qi , Chau Yuen , Zhaocheng Wang

Many of the applications of compressed sensing have been based on variable density sampling, where certain sections of the sampling coefficients are sampled more densely. Furthermore, it has been observed that these sampling schemes are…

信息论 · 计算机科学 2015-09-24 Clarice Poon

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

概率论 · 数学 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

In this article, we address the problem of reducing the number of required samples for Spherical Near-Field Antenna Measurements (SNF) by using Compressed Sensing (CS). A condition to ensure the numerical performance of sparse recovery…

信息论 · 计算机科学 2023-02-10 Arya Bangun , Cosme Culotta-López

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut