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Sparse signals, encountered in many wireless and signal acquisition applications, can be acquired via compressed sensing (CS) to reduce computations and transmissions, crucial for resource-limited devices, e.g., wireless sensors. Since the…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Markus Leinonen , Marian Codreanu

We address the issue of applying quantized compressed sensing (CS) on low-energy telemonitoring. So far, few works studied this problem in applications where signals were only approximately sparse. We propose a two-stage data compressor…

Information Theory · Computer Science 2015-06-09 Benyuan Liu , Hongqi Fan , Qiang Fu , Zhilin Zhang

Audio compression has become one of the basic multimedia technologies. Choosing an efficient compression scheme that is capable of preserving the signal quality while providing a high compression ratio is desirable in the different…

Information Theory · Computer Science 2014-03-13 Hossam M. Kasem , Maha El-Sabrouty

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

Information Theory · Computer Science 2009-06-08 Graeme Pope

Compressive sensing (CS) is a data acquisition technique that measures sparse or compressible signals at a sampling rate lower than their Nyquist rate. Results show that sparse signals can be reconstructed using greedy algorithms, often…

Information Theory · Computer Science 2016-02-23 Jinye Zhang , Laming Chen , Petros T. Boufounos , Yuantao Gu

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

Information Theory · Computer Science 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

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

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

Information Theory · Computer Science 2016-11-18 Ying Li , Kun Xie , Xin Wang

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

This paper presents a tutorial for CS applications in communications networks. The Shannon's sampling theorem states that to recover a signal, the sampling rate must be as least the Nyquist rate. Compressed sensing (CS) is based on the…

Networking and Internet Architecture · Computer Science 2014-02-07 Hong Huang , Satyajayant Misra , Wei Tang , Hajar Barani , Hussein Al-Azzawi

We propose a method based on compressed sensing (CS) to measure the evolution processes of the states of a driven cavity quantum electrodynamics system. In precisely reconstructing the coherent cavity field amplitudes, we have to prepare…

Quantum Physics · Physics 2022-07-20 Fang Zhao , Qing Zhao , Dazhi Xu

Compressive Sensing (CS) theory asserts that sparse signal reconstruction is possible from a small number of linear measurements. Although CS enables low-cost linear sampling, it requires non-linear and costly reconstruction. Recent…

Machine Learning · Computer Science 2018-10-16 Aysen Degerli , Sinem Aslan , Mehmet Yamac , Bulent Sankur , Moncef Gabbouj

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

Information Theory · Computer Science 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or…

Information Theory · Computer Science 2019-04-25 Mark Iwen , Eric Lybrand , Aaron Nelson , Rayan Saab

Radio interferometry has always faced the problem of incomplete sampling of the Fourier plane. A possible remedy can be found in the promising new theory of compressed sensing (CS), which allows for the accurate recovery of sparse signals…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Clara Fannjiang

While the recent theory of compressed sensing provides an opportunity to overcome the Nyquist limit in recovering sparse signals, a solution approach usually takes a form of inverse problem of the unknown signal, which is crucially…

Information Theory · Computer Science 2016-09-27 Jong Chul Ye , Jong Min Kim , Kyong Hwan Jin , Kiryung Lee

Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

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

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová
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