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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…

Information Theory · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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)…

Signal Processing · Electrical Eng. & Systems 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…

Numerical Analysis · Mathematics 2009-11-05 Mark A. Davenport , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

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…

Information Theory · Computer Science 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…

Numerical Analysis · Mathematics 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…

Information Theory · Computer Science 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:…

Information Theory · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Information Theory · Computer Science 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…

Applications · Statistics 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…

Image and Video Processing · Electrical Eng. & Systems 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…

Machine Learning · Computer Science 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Probability · Mathematics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut