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Related papers: Refined analysis of sparse MIMO radar

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This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

Statistics Theory · Mathematics 2016-09-05 Rui M. Castro , Ervin Tánczos

In this paper, we study a multiple-input multiple-output (MIMO) integrated sensing and communication (ISAC) system where one multi-antenna base station (BS) sends information to a user with multiple antennas in the downlink and…

Information Theory · Computer Science 2023-12-21 Chan Xu , Shuowen Zhang

The stability of sparse signal reconstruction is investigated in this paper. We design efficient algorithms to verify the sufficient condition for unique $\ell_1$ sparse recovery. One of our algorithm produces comparable results with the…

Information Theory · Computer Science 2015-05-18 Gongguo Tang , Arye Nehorai

Sparse recovery aims to reconstruct an unknown spare or approximately sparse signal from significantly few noisy incoherent linear measurements. As a kind of computable incoherence measure of the measurement matrix, $q$-ratio constrained…

Information Theory · Computer Science 2018-06-01 Zhiyong Zhou , Jun Yu

In this work, a reconfigurable intelligent surface (RIS)-aided millimeter wave (mmWave) multiple-input multiple-output (MIMO) cognitive radio (CR) downlink operating in the underlay mode is investigated. The cognitive base station (CBS)…

Signal Processing · Electrical Eng. & Systems 2024-06-14 Jitendra Singh , Suraj Srivastava , Surya P. Yadav , Aditya K. Jagannatham , Lajos Hanzo

In the past few years, new approaches to radar signal processing have been introduced which allow the radar to perform signal detection and parameter estimation from much fewer measurements than that required by Nyquist sampling. These…

Information Theory · Computer Science 2019-02-06 Kumar Vijay Mishra , Yonina C. Eldar

We consider the scenario in which multiple sensors send spatially correlated data to a fusion center (FC) via independent Rayleigh-fading channels with additive noise. Assuming that the sensor data is sparse in some basis, we show that the…

Information Theory · Computer Science 2015-06-12 Gang Yang , Vincent Y. F. Tan , Chin Keong Ho , See Ho Ting , Yong Liang Guan

We consider the problem of exact support recovery of sparse signals via noisy measurements. The main focus is the sufficient and necessary conditions on the number of measurements for support recovery to be reliable. By drawing an analogy…

Information Theory · Computer Science 2010-03-04 Yuzhe Jin , Young-Han Kim , Bhaskar D. Rao

Restricted isometry property (RIP), essentially stating that the linear measurements are approximately norm-preserving, plays a crucial role in studying low-rank matrix recovery problem. However, RIP fails in the robust setting, when a…

Machine Learning · Computer Science 2021-09-29 Jianhao Ma , Salar Fattahi

The Restricted Isometry Property (RIP) is a fundamental property of a matrix enabling sparse recovery. Informally, an m x n matrix satisfies RIP of order k in the l_p norm if ||Ax||_p \approx ||x||_p for any vector x that is k-sparse, i.e.,…

Data Structures and Algorithms · Computer Science 2014-04-29 Piotr Indyk , Ilya Razenshteyn

To meet the growing spectrum demands, future cellular systems are expected to share the spectrum of other services such as radar. In this paper, we consider a network multiple-input multiple-output (MIMO) with partial cooperation model…

Information Theory · Computer Science 2016-10-25 Ahmed Abdelhadi , T. Charles Clancy

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), then we can transmit a sufficiently "incoherent"…

Numerical Analysis · Mathematics 2015-05-13 Matthew A. Herman , Thomas Strohmer

Distributed MIMO radar is known to achieve superior sensing performance by employing widely separated antennas. However, it is challenging to implement a low-complexity distributed MIMO radar due to the complex operations at both the…

Signal Processing · Electrical Eng. & Systems 2023-02-17 Yikun Xiang , Feng Xi , Shengyao Chen

We study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

Methodology · Statistics 2016-01-01 Jian Wang , Ping Li

The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an extension of the single-measurement-vector (SMV) problem widely…

Information Theory · Computer Science 2018-08-23 Ewout van den Berg , Michael P. Friedlander

In compressed sensing, it is often desirable to consider signals possessing additional structure beyond sparsity. One such structured signal model - which forms the focus of this paper - is the local sparsity in levels class. This class has…

Information Theory · Computer Science 2017-06-05 Chen Li , Ben Adcock

High-precision indoor sensing using monostatic multiple-input multiple-output (MIMO) radar typically relies on increasing the physical aperture size of antennas, leading to high hardware complexity and cost. To overcome this bottleneck,…

Signal Processing · Electrical Eng. & Systems 2026-04-20 Lang Qin , Zelin Liu , Rongjie Li , Zhiqiang Huang , Xiaoguang Liu

Compressed sensing magnetic resonance imaging (CS-MRI) heavily relies on the low mutual coherence between the measurement matrix and the sparsity basis. However, under highly accelerated Cartesian undersampling, the severe structural…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Siyuan Feng

Recently proposed multiple input multiple output radars based on matrix completion (MIMO-MC) employ sparse sampling to reduce the amount of data that need to be forwarded to the radar fusion center, and as such enable savings in…

Information Theory · Computer Science 2016-08-24 Bo Li , Athina P. Petropulu , Wade Trappe

We consider a colocated MIMO radar scenario, in which the receive antennas forward their measurements to a fusion center. Based on the received data, the fusion center formulates a matrix which is then used for target parameter estimation.…

Information Theory · Computer Science 2018-03-06 Shunqiao Sun , Athina P. Petropulu , Waheed U. Bajwa