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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

The compressive sensing (CS) and 1-bit CS demonstrate superior efficiency in signal acquisition and resource conservation, while 1-bit CS achieves maximum resource efficiency through sign-only measurements. With the emergence of massive…

统计方法学 · 统计学 2025-05-06 Erbo Li , Qi Qin , Yifan Sun , Liping Zhu

Compressive sensing is the newly emerging method in information technology that could impact array beamforming and the associated engineering applications. However, practical measurements are inevitably polluted by noise from external…

信息论 · 计算机科学 2013-07-12 Siyang Zhong , Xun Huang

Recent breakthrough results in compressed sensing (CS) have established that many high dimensional objects can be accurately recovered from a relatively small number of non- adaptive linear projection observations, provided that the objects…

机器学习 · 统计学 2011-11-30 Akshay Soni , Jarvis Haupt

Compressed sensing (CS) exploits the sparsity of a signal in order to integrate acquisition and compression. CS theory enables exact reconstruction of a sparse signal from relatively few linear measurements via a suitable nonlinear…

信息论 · 计算机科学 2014-09-04 Shmuel Friedland , Qun Li , Dan Schonfeld , Edgar A. Bernal

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

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

信息论 · 计算机科学 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

Compressive sensing (CS) is well-known for its unique functionalities of sensing, compressing, and security (i.e. CS measurements are equally important). However, there is a tradeoff. Improving sensing and compressing efficiency with prior…

信号处理 · 电气工程与系统科学 2020-02-19 Thuong Nguyen Canh , Byeungwoo Jeon

The compressed sensing (CS) theory has been successfully applied to image compression in the past few years as most image signals are sparse in a certain domain. Several CS reconstruction models have been recently proposed and obtained…

计算机视觉与模式识别 · 计算机科学 2017-07-25 Wuzhen Shi , Feng Jiang , Shengping Zhang , Debin Zhao

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

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

统计力学 · 物理学 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

信息论 · 计算机科学 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

Fetal ECG (FECG) telemonitoring is an important branch in telemedicine. The design of a telemonitoring system via a wireless body-area network with low energy consumption for ambulatory use is highly desirable. As an emerging technique,…

机器学习 · 统计学 2015-03-20 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Bhaskar D. Rao

The 1-bit compressed sensing framework enables the recovery of a sparse vector x from the sign information of each entry of its linear transformation. Discarding the amplitude information can significantly reduce the amount of data, which…

数据分析、统计与概率 · 物理学 2019-04-01 Yingying Xu , Yoshiyuki Kabashima , Lenka Zdeborova

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

In compressive sensing (CS) theory, as the number of samples is decreased below a minimum threshold, the average error of the recovery increases. Sufficient sampling is either required for quality reconstruction or the error is resignedly…

信息论 · 计算机科学 2015-10-14 Miguel Dominguez , Behnaz Ghoraani , Ph. D

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

信息论 · 计算机科学 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

Compressed sensing (CS) is a signal processing technique that enables the efficient recovery of a sparse high-dimensional signal from low-dimensional measurements. In the multiple measurement vector (MMV) framework, a set of signals with…

信号处理 · 电气工程与系统科学 2022-06-08 Pavan K. Kota , Daniel LeJeune , Rebekah A. Drezek , Richard G. Baraniuk

The sparse signal recovery in the standard compressed sensing (CS) problem requires that the sensing matrix be known a priori. Such an ideal assumption may not be met in practical applications where various errors and fluctuations exist in…

信息论 · 计算机科学 2015-06-03 Zai Yang , Cishen Zhang , Lihua Xie