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Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

Measurement-induced state disturbance is a major challenge in obtaining quantum statistics at multiple time points. We propose a method to extract dynamic information from a quantum system at intermediate time points, namely snapshotting…

Quantum error correcting (QEC) stabilizer codes enable protection of quantum information against errors during storage and processing. Simulation of noisy QEC codes is used to identify the noise parameters necessary for advantageous…

Quantum Physics · Physics 2025-03-17 Sascha Heußen , Don Winter , Manuel Rispler , Markus Müller

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

Cognitive Radio requires efficient and reliable spectrum sensing of wideband signals. In order to cope with the sampling rate bottleneck, new sampling methods have been proposed that sample below the Nyquist rate. However, such techniques…

Information Theory · Computer Science 2017-04-26 Deborah Cohen , Yonina C. Eldar

Dual-comb spectroscopy (DCS) is a powerful Fourier-transform spectroscopic technique that provides high-speed, high-resolution, and broadband measurements without moving parts. However, the high peak power of mode-locked pulses limits the…

Optics · Physics 2025-09-30 Wei Long , Xinru Cao , Xiangze Ma , Jiaqi Zhou , Wenbin He , Dijun Chen

We demonstrate that a sparse signal can be estimated from the phase of complex random measurements, in a "phase-only compressive sensing" (PO-CS) scenario. With high probability and up to a global unknown amplitude, we can perfectly recover…

Information Theory · Computer Science 2020-11-13 Laurent Jacques , Thomas Feuillen

Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Kees Janse , Massimo Mischi , Ruud J. G. van Sloun

This article develops the applicability of non-linear processing techniques such as Compressed Sensing (CS), Principal Component Analysis (PCA), Iterative Adaptive Approach (IAA) and Multiple-input-multiple-output (MIMO) for the purpose of…

Signal Processing · Electrical Eng. & Systems 2023-03-27 Mohit Kumar , Keith Kelly

This paper presents a dynamic predictive sampling (DPS) based analog-to-digital converter (ADC) that provides a non-uniform sampling of input analog continuous-time signals. The processing unit generates a dynamic prediction of the input…

Signal Processing · Electrical Eng. & Systems 2022-11-21 Xiaochen Tang , Mario Renteria-Pinon , Wei Tang

We propose Tensor-based 4D Sub-Nyquist Radar (TenDSuR) that samples in spectral, spatial, Doppler, and temporal domains at sub-Nyquist rates while simultaneously recovering the target's direction, Doppler velocity, and range without loss of…

Signal Processing · Electrical Eng. & Systems 2019-02-20 Siqi Na , Kumar Vijay Mishra , Yimin Liu , Yonina C. Eldar , Xiqin Wang

Entanglement has been known to boost target detection, despite it being destroyed by lossy-noisy propagation. Recently, [Phys. Rev. Lett. 128, 010501 (2022)] proposed a quantum pulse-compression radar to extend entanglement's benefit to…

Quantum Physics · Physics 2022-07-25 Bo-Han Wu , Saikat Guha , Quntao Zhuang

In this work the dynamic compressive sensing (CS) problem of recovering sparse, correlated, time-varying signals from sub-Nyquist, non-adaptive, linear measurements is explored from a Bayesian perspective. While there has been a handful of…

Information Theory · Computer Science 2015-06-05 Justin Ziniel , Philip Schniter

A Pulse-Compression Probing (PCP) method is applied in time-domain to identify an equivalent circuit model of a distribution network as seen from the transmission grid. A Pseudo-Random Binary Pulse Train (PRBPT) is injected as a voltage…

Systems and Control · Electrical Eng. & Systems 2023-06-05 Nicholas Piaquadio , N. Eva Wu , Morteza Sarailoo , Jianzhuang Huang

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

Co-prime sampling is a strategy for acquiring the signal below the Nyquist rate. The prototype and extended co-prime samplers require two low rate sub-samplers. One of the sub-samplers in the extended co-prime scheme is not utilized for…

Signal Processing · Electrical Eng. & Systems 2021-06-02 Usham V. Dias

Distribution estimation for noisy data via density deconvolution is a notoriously difficult problem for typical noise distributions like Gaussian. We develop a density deconvolution estimator based on quadratic programming (QP) that can…

Methodology · Statistics 2018-12-06 Ran Yang , Daniel Apley , Jeremy Staum , David Ruppert

We consider the question of estimating a real low-complexity signal (such as a sparse vector or a low-rank matrix) from the phase of complex random measurements. We show that in this "phase-only compressive sensing" (PO-CS) scenario, we can…

Information Theory · Computer Science 2020-01-17 Laurent Jacques , Thomas Feuillen

In this paper, a low-cost monopulse receiver with an enhanced direction of arrival (DoA) estimation accuracy via deep neural network (DNN) is proposed. The entire system is composed of a 4-element patch array, a fully planar symmetrical…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Hanxiang Zhang , Saeed Zolfaghary Pour , Hao Yan , Powei Liu , Bayaner Arigong

We propose and demonstrate experimentally continuous phased dynamical decoupling (CPDD), where we apply a continuous field with discrete phase changes for quantum sensing and robust compensation of environmental and amplitude noise. CPDD…