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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

The fundamental principle underlying compressed sensing is that a signal, which is sparse under some basis representation, can be recovered from a small number of linear measurements. However, prior knowledge of the sparsity basis is…

Information Theory · Computer Science 2010-04-29 Sivan Gleichman , Yonina C. Eldar

The problem of compressing a real-valued sparse source using compressive sensing techniques is studied. The rate distortion optimality of a coding scheme in which compressively sensed signals are quantized and then reconstructed is…

Information Theory · Computer Science 2010-11-09 Rajiv Soundararajan , Sriram Vishwanath

In structural health monitoring (SHM) systems, massive amounts of data are often generated that need data compression techniques to reduce the cost of signal transfer and storage. Compressive sensing (CS) is a novel data acquisition method…

Applications · Statistics 2014-12-16 Yong Huang , James L. Beck , Stephen Wu , Hui Li

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

This paper describes a direct conversion receiver applying compressed sensing with the objective to relax the analog filtering requirements seen in the traditional architecture. The analog filter is cumbersome in an \gls{IC} design and…

Information Theory · Computer Science 2016-11-17 Jacek Pierzchlewski , Thomas Arildsen , Torben Larsen

In recent years, Compressed Sensing (CS) has gained significant interest as a technique for acquiring high-resolution sensory data using fewer measurements than traditional Nyquist sampling requires. At the same time, autonomous robotic…

Robotics · Computer Science 2025-07-25 Alghalya Al-Hajri , Ejmen Al-Ubejdij , Aiman Erbad , Ali Safa

Linear inverse problems are ubiquitous in various science and engineering disciplines. Of particular importance in the past few decades, is the incorporation of sparsity based priors, in particular $\ell_1$ priors, into linear inverse…

Statistics Theory · Mathematics 2025-03-04 Ryan O'Dowd , Raghu G. Raj , Hrushikesh N. Mhaskar

Compressed sensing in MRI enables high subsampling factors while maintaining diagnostic image quality. This technique enables shortened scan durations and/or improved image resolution. Further, compressed sensing can increase the diagnostic…

Image and Video Processing · Electrical Eng. & Systems 2019-03-20 Joseph Y. Cheng , Feiyu Chen , Christopher Sandino , Morteza Mardani , John M. Pauly , Shreyas S. Vasanawala

In this paper, a new class of circulant matrices built from deterministic sequences is proposed for convolution-based compressed sensing (CS). In contrast to random convolution, the coefficients of the underlying filter are given by the…

Information Theory · Computer Science 2015-06-11 Kezhi Li , Lu Gan , Cong Ling

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,…

Information Theory · Computer Science 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

Compressed sensing (CS) schemes are proposed for monostatic as well as synthetic aperture radar (SAR) imaging with chirped signals and Ultra-Narrowband (UNB) continuous waveforms. In particular, a simple, perturbation method is developed to…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Albert Fannjiang , Hsiao-Chieh Tseng

In practical compressed sensing (CS), the obtained measurements typically necessitate quantization to a limited number of bits prior to transmission or storage. This nonlinear quantization process poses significant recovery challenges,…

Signal Processing · Electrical Eng. & Systems 2024-01-09 Xiangming Meng , Yoshiyuki Kabashima

Wideband spectrum sensing is a critical component of a functioning cognitive radio system. Its major challenge is the too high sampling rate requirement. Compressive sensing (CS) promises to be able to deal with it. Nearly all the current…

Information Theory · Computer Science 2011-06-21 Yipeng Liu , Qun Wan

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

Information Theory · Computer Science 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

In compressive sensing, a small collection of linear projections of a sparse signal contains enough information to permit signal recovery. Distributed compressive sensing (DCS) extends this framework by defining ensemble sparsity models,…

Information Theory · Computer Science 2013-03-29 Marco F. Duarte , Michael B. Wakin , Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

Compressed sensing (CS) is on recovery of high dimensional signals from their low dimensional linear measurements under a sparsity prior and digital quantization of the measurement data is inevitable in practical implementation of CS…

Information Theory · Computer Science 2016-08-24 Zai Yang , Lihua Xie , Cishen Zhang

From many fewer acquired measurements than suggested by the Nyquist sampling theory, compressive sensing (CS) theory demonstrates that, a signal can be reconstructed with high probability when it exhibits sparsity in some domain. Most of…

Computer Vision and Pattern Recognition · Computer Science 2014-05-01 Jian Zhang , Chen Zhao , Debin Zhao , Wen Gao

Compressive Sensing theory says that it is possible to reconstruct a measured signal if an enough sparse representation of this signal exists in comparison to the number of random measurements. This theory was applied to reconstruct signals…

It is well established in the compressive sensing (CS) literature that sensing matrices whose elements are drawn from independent random distributions exhibit enhanced reconstruction capabilities. In many CS applications, such as…

Optimization and Control · Mathematics 2018-03-26 Richard Obermeier , Jose Angel Martinez-Lorenzo
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