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Spectroscopy sampling along delay time is typically performed with uniform delay spacing, which has to be low enough to satisfy the Nyquist-Shannon sampling theorem. The sampling theorem puts the lower bound for the sampling rate to ensure…

化学物理 · 物理学 2025-03-04 Junyan Sun , Deran Zhang , Ziqian Cheng , Dazhi Xu , Hui Dong

A major challenge to implement the compressed sensing method for channel state information (CSI) acquisition lies in the design of a well-performed measurement matrix to reduce the dimension of sparse channel vectors. The widely adopted…

信息论 · 计算机科学 2020-07-14 Pengxia Wu , Zichuan Liu , Julian Cheng

Optical systems which measure independent random projections of a scene according to compressed sensing (CS) theory face a myriad of practical challenges related to the size of the physical platform, photon efficiency, the need for high…

应用统计 · 统计学 2015-03-19 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

信息论 · 计算机科学 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

This paper exploits recent developments in compressive sensing (CS) to efficiently perform the direction finding via amplitude comprarison. The new method is proposed based on unimodal characteristic of antenna pattern and sparse property…

信息论 · 计算机科学 2010-06-25 Ruiming Yang , Yipeng Liu , Qun Wan , Wanlin Yang

The MUSIC algorithm, with its extension for imaging sparse {\em extended} objects, is analyzed by compressed sensing (CS) techniques. The notion of restricted isometry property (RIP) and an upper bound on the restricted isometry constant…

信息论 · 计算机科学 2015-05-19 Albert C. Fannjiang

Compressive sensing (CS) can effectively recover a signal when it is sparse in some discrete atoms. However, in some applications, signals are sparse in a continuous parameter space, e.g., frequency space, rather than discrete atoms.…

信号处理 · 电气工程与系统科学 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

Compressive Sensing (CS) is a new technique for the efficient acquisition of signals, images, and other data that have a sparse representation in some basis, frame, or dictionary. By sparse we mean that the N-dimensional basis…

信息论 · 计算机科学 2015-05-18 Chinmay Hegde , Richard G. Baraniuk

Compressive sensing (CS), acquiring and reconstructing signals below the Nyquist rate, has great potential in image and video acquisition to exploit data redundancy and greatly reduce the amount of sampled data. To further reduce the…

计算机视觉与模式识别 · 计算机科学 2024-11-18 Kosuke Iwama , Ryugo Morita , Jinjia Zhou

In the Cognitive Compressive Sensing (CCS) problem, a Cognitive Receiver (CR) seeks to optimize the reward obtained by sensing an underlying $N$ dimensional random vector, by collecting at most $K$ arbitrary projections of it. The $N$…

信息论 · 计算机科学 2014-01-27 Saeed Bagheri , Anna Scaglione

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

最优化与控制 · 数学 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

Matching pursuit, especially its orthogonal version (OMP) and variations, is a greedy algorithm widely used in signal processing, compressed sensing, and sparse modeling. Inspired by constrained sparse signal recovery, this paper proposes a…

最优化与控制 · 数学 2020-03-18 Jinglai Shen , Seyedahmad Mousavi

This paper studies a formulation of 1-bit Compressed Sensing (CS) problem based on the maximum likelihood estimation framework. In order to solve the problem we apply the recently proposed Gradient Support Pursuit algorithm, with a minor…

信息论 · 计算机科学 2013-04-25 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

Compressive sensing (CS) is a sampling technique designed for reducing the complexity of sparse data acquisition. One of the major obstacles for practical deployment of CS techniques is the signal reconstruction time and the high storage…

信息论 · 计算机科学 2011-07-12 Wei Dai , Olgica Milenkovic , Hoa Vin Pham

In compressed sensing (CS), sparse signals can be reconstructed from significantly fewer samples than required by the Nyquist-Shannon sampling theorem. While non-sparse signals can be sparsely represented in appropriate transformation…

信息论 · 计算机科学 2026-03-13 Qi Qi , Abdelhamid Tayebi , Daizhan Cheng , Jun-e Feng

We study the compressed sensing (CS) signal estimation problem where an input signal is measured via a linear matrix multiplication under additive noise. While this setup usually assumes sparsity or compressibility in the input signal…

信息论 · 计算机科学 2014-12-23 Junan Zhu , Dror Baron , Marco F. Duarte

Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this correspondence, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via additive…

信息论 · 计算机科学 2010-10-04 Nam Yul Yu

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

信号处理 · 电气工程与系统科学 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

Compressed sensing (sparse signal recovery) has been a popular and important research topic in recent years. By observing that natural signals are often nonnegative, we propose a new framework for nonnegative signal recovery using…

统计方法学 · 统计学 2013-10-04 Ping Li , Cun-Hui Zhang , Tong Zhang

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

信号处理 · 电气工程与系统科学 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li