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Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

Electron Spin Resonance (ESR) is a widely common method in the field of quantum sensing. Specifically with the Nitrogen-Vacancy (NV) center in diamond, used for sensing magnetic and electric fields, strain and temperature. However, ESR…

Quantum Physics · Physics 2025-02-11 Galya Haim , Chris Mullarkey , John Howell , Nir Bar-Gill

We demonstrate a highly sensitive real-time magnetometry method at two measurement points. This magnetometry method is based on the frequency-division multiplexing of continuous-wave optically detected magnetic resonance. We use two…

Compressive sensing (CS) combines data acquisition with compression coding to reduce the number of measurements required to reconstruct a sparse signal. In optics, this usually takes the form of projecting the field onto sequences of random…

Information Theory · Computer Science 2018-10-24 Davood Mardani , H. Esat Kondakci , Lane Martin , Ayman F. Abouraddy , George K. Atia

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

With the advent of ubiquitous computing there are two design parameters of wireless communication devices that become very important power: efficiency and production cost. Compressive sensing enables the receiver in such devices to sample…

Information Theory · Computer Science 2016-11-15 Karsten Fyhn , Tobias Lindstrøm Jensen , Torben Larsen , Søren Holdt Jensen

Precision sensing, and in particular high precision magnetometry, is a central goal of research into quantum technologies. For magnetometers, often trade-offs exist between sensitivity, spatial resolution, and frequency range. The…

Quantum Physics · Physics 2016-06-22 I. Baumgart , J. -M. Cai , A. Retzker , M. B. Plenio , Ch. Wunderlich

Quantum sensing is an emerging field with the potential to outperform classical methods in both precision and spatial resolution. However, the sensitivity of the underlying quantum platform also makes the sensors highly susceptible to their…

Quantum Physics · Physics 2025-12-15 Miriam Resch , Dennis Herb , Mirko Rossini , Joachim Ankerhold , Dominik Maile

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

Compressed sensing (CS) demonstrates that sparse signals can be estimated from under-determined linear systems. Distributed CS (DCS) further reduces the number of measurements by considering joint sparsity within signal ensembles. DCS with…

Information Theory · Computer Science 2017-03-24 Junan Zhu , Dror Baron , Florent Krzakala

Compressive sensing (CS) exploits the sparsity present in many signals to reduce the number of measurements needed for digital acquisition. With this reduction would come, in theory, commensurate reductions in the size, weight, power…

Information Theory · Computer Science 2015-05-28 Mark A. Davenport , Jason N. Laska , John R. Treichler , Richard G. Baraniuk

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

Information Theory · Computer Science 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

Compressed sensing (CS) is a powerful method routinely employed to accelerate image acquisition. It is particularly suited to situations when the image under consideration is sparse but can be sampled in a basis where it is non-sparse. Here…

Image and Video Processing · Electrical Eng. & Systems 2022-07-18 Xudong Lv , Ashok Ajoy

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie

For a sound field observed on a sensor array, compressive sensing (CS) reconstructs the direction-of-arrival (DOA) of multiple sources using a sparsity constraint. The DOA estimation is posed as an underdetermined problem by expressing the…

Statistics Theory · Mathematics 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker

Single nitrogen vacancy (NV) centers in diamond have been used extensively for high-sensitivity nanoscale sensing, but conventional approaches use confocal microscopy to measure individual centers sequentially, limiting throughput and…

The performance of existing approaches to the recovery of frequency-sparse signals from compressed measurements is limited by the coherence of required sparsity dictionaries and the discretization of frequency parameter space. In this…

Information Theory · Computer Science 2014-07-15 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Zenghui Zhang , Peilin Liu , Wenxian Yu

This paper presents an improved secondary voltage control (SVC) methodology incorporating compressive sensing (CS) for a multi-area power system. SVC minimizes the voltage deviation of the load buses while CS deals with the problem of the…

Signal Processing · Electrical Eng. & Systems 2018-11-13 Irfan Khan , Vikram Bhattacharjee , Yinliang Xu , Soummya Kar , Mo-Yuen Chow

Achieving high-frequency spectral resolution with quantum sensors, while crucial in fields ranging from physical to biological sciences, is challenging due to their finite coherence time. Here, we introduce a novel protocol that achieves…

Quantum Physics · Physics 2025-04-17 Jungbae Yoon , Keyuan Zhong , Guoqing Wang , Boning Li , Donghun Lee , Paola Cappellaro

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

Information Theory · Computer Science 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi
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