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This paper presents a self-contained factorization for the Vandermonde matrices associated with true-time delay based wideband analog multi-beam beamforming using antenna arrays. The proposed factorization contains sparse and orthogonal…

Signal Processing · Electrical Eng. & Systems 2022-06-03 S. M. Perera , A. Madanayake , R. J. Cintra

Multi-contrast Magnetic Resonance Imaging (MRI) acquisitions from a single scan have tremendous potential to streamline exams and reduce imaging time. However, maintaining clinically feasible scan time necessitates significant…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Ke Wang , Enhao Gong , Yuxin Zhang , Suchadrima Banerjee , Greg Zaharchuk , John Pauly

This paper considers the recovery of continuous signals in infinite dimensional spaces from the magnitude of their frequency samples. It proposes a sampling scheme which involves a combination of oversampling and modulations with complex…

Information Theory · Computer Science 2014-07-11 Volker Pohl , Fanny Yang , Holger Boche

Magnetic resonance (MR) image acquisition is an inherently prolonged process, whose acceleration by obtaining multiple undersampled images simultaneously through parallel imaging has always been the subject of research. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2021-04-13 Chun-Mei Feng , Zhanyuan Yang , Geng Chen , Yong Xu , Ling Shao

We address the problem of reconstructing a multi-band signal from its sub-Nyquist point-wise samples. To date, all reconstruction methods proposed for this class of signals assumed knowledge of the band locations. In this paper, we develop…

Cellular Automata and Lattice Gases · Physics 2007-09-12 Moshe Mishali , Yonina C. Eldar

In Magnetic Resonance Imaging (MRI) data samples are collected in the spatial frequency domain (k-space), typically by time-consuming line-by-line scanning on a Cartesian grid. Scans can be accelerated by simultaneous acquisition of data…

Medical Physics · Physics 2015-03-24 Vivek Athalye , Michael Lustig , Martin Uecker

This paper presents a regularized sampling method for multiband signals, that makes it possible to approach the Landau limit, while keeping the sensitivity to noise at a low level. The method is based on band-limited windowing, followed by…

Information Theory · Computer Science 2015-05-18 J. Selva

We consider sampling strategies for a class of multivariate bandlimited functions $f$ that have a spectrum consisting of disjoint frequency bands. Taking advantage of the special spectral structure, we provide formulas relating $f$ to the…

Functional Analysis · Mathematics 2018-04-18 Christina Frederick

Using single-task deep learning methods to reconstruct Magnetic Resonance Imaging (MRI) data acquired with different imaging sequences is inherently challenging. The trained deep learning model typically lacks generalizability, and the…

Image and Video Processing · Electrical Eng. & Systems 2024-04-23 Wanyu Bian , Albert Jang , Fang Liu

Magnetic resonance imaging (MRI) is a crucial medical imaging modality. However, long acquisition times remain a significant challenge, leading to increased costs, and reduced patient comfort. Recent studies have shown the potential of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Amirmohammad Shamaei , Alexander Stebner , Salome , Bosshart , Johanna Ospel , Gouri Ginde , Mariana Bento , Roberto Souza

We demonstrate a spectrum demodulation technique for greatly speeding up the data acquisition rate in scanning nitrogen-vacancy center magnetometry. Our method relies on a periodic excitation of the electron spin resonance by fast,…

Quantum Physics · Physics 2022-05-16 P. Welter , B. A. Josteinsson , S. Josephy , A. Wittmann , A. Morales , G. Puebla-Hellmann , C. L. Degen

Periodic nonuniform sampling has been considered in literature as an effective approach to reduce the sampling rate far below the Nyquist rate for sparse spectrum multiband signals. In the presence of non-ideality the sampling parameters…

Systems and Control · Computer Science 2010-10-12 Moslem Rashidi , Sara Mansouri

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

Numerical Analysis · Computer Science 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

The Random Demodulator (RD) and the Modulated Wideband Converter (MWC) are two recently proposed compressed sensing (CS) techniques for the acquisition of continuous-time spectrally-sparse signals. They extend the standard CS paradigm from…

Information Theory · Computer Science 2011-10-11 Michael A. Lexa , Mike E. Davies , John S. Thompson

Magnetic Resonance Fingerprinting (MRF) reconstructs tissue maps based on a sequence of very highly undersampled images. In order to be able to perform MRF reconstruction, state-of-the-art MRF methods rely on priors such as the MR physics…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Simon Arberet , Xiao Chen , Boris Mailhe , Peter Speier , Gregor Koerzdoerfer , Mathias Nittka , Heiko Meyer , Mariappan S. Nadar

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

A core challenge for signal data recovery is to model the distribution of signal matrix (SM) data based on measured low-quality data in biomedical engineering of magnetic particle imaging (MPI). For acquiring the high-resolution…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Liwen Zhang , Zhaoji Miao , Fan Yang , Gen Shi , Jie He , Yu An , Hui Hui , Jie Tian

We describe a "spatio-spectral" deconvolution algorithm for wide-band imaging in radio interferometry. In contrast with the existing multi-frequency reconstruction algorithms, the proposed method does not rely on a model of the…

Instrumentation and Methods for Astrophysics · Physics 2016-03-01 André Ferrari , Jérémy Deguignet , Chiara Ferrari , David Mary , Antony Schutz , Oleg Smirnov

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

Magnetic Resonance Imaging (MRI) has become an important technique in the clinic for the visualization, detection, and diagnosis of various diseases. However, one bottleneck limitation of MRI is the relatively slow data acquisition process.…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Xue Liu , Juan Zou , Xiawu Zheng , Cheng Li , Hairong Zheng , Shanshan Wang
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