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The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

Information Theory · Computer Science 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

This paper studies a formulation of 1-bit Compressed Sensing (CS) problem based on the maximum likelihood estimation framework. In order to solve the problem we apply the recently proposed Gradient Support Pursuit algorithm, with a minor…

Information Theory · Computer Science 2013-04-25 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

Noise robust compressive sensing algorithm is considered. This algorithm allows an efficient signal reconstruction in the presence of different types of noise due to the possibility to change minimization norm. For instance, the commonly…

Information Theory · Computer Science 2015-02-23 Maja Lakicevic , Mitar Moracanin , Nadja Djerkovic

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

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

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…

Methodology · Statistics 2025-05-06 Erbo Li , Qi Qin , Yifan Sun , Liping Zhu

Compressive sensing (CS) technologies present many advantages over other existing approaches for implementing wideband spectrum sensing in cognitive radios (CRs), such as reduced sampling rate and computational complexity. However, there…

Information Theory · Computer Science 2016-07-15 Jing Jiang , Hongjian Sun , David Baglee , H. Vincent Poor

In this work, we obtain sufficient conditions for the "stability" of our recently proposed algorithms, Least Squares Compressive Sensing residual (LS-CS) and modified-CS, for recursively reconstructing sparse signal sequences from noisy…

Information Theory · Computer Science 2015-03-19 Namrata Vaswani

Abstract-One-bit compressive sensing (CS) is known to be particularly suited for resource-constrained wireless sensor networks (WSNs). In this paper, we consider 1-bit CS over noisy WSNs subject to channel-induced bit flipping errors, and…

Information Theory · Computer Science 2015-06-05 Ching-Hsien Chen , Jwo-Yuh Wu

Compressed sensing (CS) is a valuable technique for reconstructing measurements in numerous domains. CS has not yet gained widespread adoption in scanning tunneling microscopy (STM), despite potentially offering the advantages of lower…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Brian E. Lerner , Anayeli Flores-Garibay , Benjamin J. Lawrie , Petro Maksymovych

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

Information Theory · Computer Science 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

We present CS-SHRED, a novel deep learning architecture that integrates Compressed Sensing (CS) into a Shallow Recurrent Decoder (SHRED) to reconstruct spatiotemporal dynamics from incomplete, compressed, or corrupted data. Our approach…

Machine Learning · Computer Science 2025-08-01 Romulo B. da Silva , Diego Passos , Cássio M. Oishi , J. Nathan Kutz

Recently, deep learning-based compressed sensing (CS) has achieved great success in reducing the sampling and computational cost of sensing systems and improving the reconstruction quality. These approaches, however, largely overlook the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yu Zhou , Yu Chen , Xiao Zhang , Pan Lai , Lei Huang , Jianmin Jiang

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,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-30 Jian Zhang , Debin Zhao , Feng Jiang , Wen Gao

Spectrum Sensing (SS) constitutes the most critical task i n Cognitive Radio (CR) systems for Primary User (PU) detection. Cooperative Spectrum Sensing (CSS) is introduced to enhance the detection reliability of the PU in fading…

Information Theory · Computer Science 2015-05-22 Hossam M. Farag , Ehab Mahmoud Mohamed

Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

Recovering the support of sparse vectors in underdetermined linear regression models, \textit{aka}, compressive sensing is important in many signal processing applications. High SNR consistency (HSC), i.e., the ability of a support recovery…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Sreejith Kallummil , Sheetal Kalyani

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

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…

Information Theory · Computer Science 2014-05-08 Esa Ollila , Hyon-Jung Kim , Visa Koivunen

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

Information Theory · Computer Science 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi
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