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Autonomous systems can be used to search for sparse signals in a large space; e.g., aerial robots can be deployed to localize threats, detect gas leaks, or respond to distress calls. Intuitively, search algorithms may increase efficiency by…

Machine Learning · Statistics 2016-12-05 Yifei Ma , Roman Garnett , Jeff Schneider

Authentication and encryption are traditionally treated as two separate processes in wireless networks, this paper integrates user authentication into the process of solving eavesdropping attacks. A compressed sensing (CS)-based framework…

Cryptography and Security · Computer Science 2020-12-18 Chaoqing Tang

One key metric for physical layer security is the secrecy capacity. This is the maximum rate that a system can transmit with perfect secrecy. For a Multiple Input Multiple Output (MIMO) system (a newer technology for 5G, 6G and beyond) the…

Information Theory · Computer Science 2022-10-03 Jennifer Chakravarty , Oliver Johnson , Robert Piechocki

Recent results in compressed sensing showed that the optimal subsampling strategy should take into account the sparsity pattern of the signal at hand. This oracle-like knowledge, even though desirable, nevertheless remains elusive in most…

Information Theory · Computer Science 2023-06-28 Simon Ruetz

Compressive sensing (CS) is well-known for its unique functionalities of sensing, compressing, and security (i.e. CS measurements are equally important). However, there is a tradeoff. Improving sensing and compressing efficiency with prior…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Thuong Nguyen Canh , Byeungwoo Jeon

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

Probability · Mathematics 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

In this paper, we first present a volumetric privacy measure for dynamical systems with bounded disturbances, wherein the states of the system contain private information and an adversary with access to sensor measurements attempts to infer…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Chuanghong Weng , Ehsan Nekouei

This paper investigates the spectrum sharing between a multiple-input single-output (MISO) secure communication system and a multiple-input multiple-output (MIMO) radar system in the presence of one suspicious eavesdropper. We jointly…

Information Theory · Computer Science 2024-01-29 Peng Liu , Zesong Fei , Xinyi Wang , Zhong Zheng , Xiangnan Li , Jie Xu

Surveillance performance is studied for a wireless eavesdropping system, where a full-duplex legitimate monitor eavesdrops a suspicious link efficiently with the artificial noise (AN) assistance. Different from the existing work in the…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Zihao Cheng , Jiangbo Si , Zan Li , Danyang Wang , Naofal Al-Dhahir

The paper explores the problem of \emph{spectral compressed sensing}, which aims to recover a spectrally sparse signal from a small random subset of its $n$ time domain samples. The signal of interest is assumed to be a superposition of $r$…

Information Theory · Computer Science 2015-01-05 Yuxin Chen , Yuejie Chi

This paper describes computationally efficient approaches and associated theoretical performance guarantees for the detection of known targets and anomalies from few projection measurements of the underlying signals. The proposed approaches…

Statistics Theory · Mathematics 2015-06-03 Kalyani Krishnamurthy , Rebecca Willett , Maxim Raginsky

Wireless communication provides a wide coverage at the cost of exposing information to unintended users. As an information-theoretic paradigm, secrecy rate derives bounds for secure transmission when the channel to the eavesdropper is…

Information Theory · Computer Science 2016-11-17 Ashkan Kalantari , Mojtaba Soltanalian , Sina Maleki , Symeon Chatzinotas , Björn Ottersten

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

Information Theory · Computer Science 2015-10-28 Sohail Bahmani , Justin Romberg

Radio interferometry probes astrophysical signals through incomplete and noisy Fourier measurements. The theory of compressed sensing demonstrates that such measurements may actually suffice for accurate reconstruction of sparse or…

Astrophysics · Physics 2009-07-09 Y. Wiaux , L. Jacques , G. Puy , A. M. M. Scaife , P. Vandergheynst

We consider the problem of finding secrecy rate of a multiple-input multiple-output (MIMO) wire-tap channel. A transmitter, a legitimate receiver, and an eavesdropper are all equipped with multiple antennas. The channel states from the…

Information Theory · Computer Science 2014-11-04 Arash Khabbazibasmenj , Maksym A. Girnyk , Sergiy A. Vorobyov , Mikko Vehkaperä , Lars K. Rasmussen

We consider a class of optimization problems for sparse signal reconstruction which arise in the field of Compressed Sensing (CS). A plethora of approaches and solvers exist for such problems, for example GPSR, FPC AS, SPGL1, NestA,…

Optimization and Control · Mathematics 2013-11-19 Kimon Fountoulakis , Jacek Gondzio , Pavel Zhlobich

This paper considers a method of coding the sensor outputs in order to detect stealthy false data injection attacks. An intelligent attacker can design a sequence of data injection to sensors and actuators that pass the state estimator and…

Cryptography and Security · Computer Science 2016-11-17 Fei Miao , Quanyan Zhu , Miroslav Pajic , George J. Pappas

In this paper, a class of deterministic sensing matrices are constructed by selecting rows from Fourier matrices. These matrices have better performance in sparse recovery than random partial Fourier matrices. The coherence and restricted…

Information Theory · Computer Science 2015-09-10 Shan Huang , Hong Sun , Lei Yu , Haijian Zhang

In compressed sensing, one wishes to acquire an approximately sparse high-dimensional signal $x\in\mathbb{R}^n$ via $m\ll n$ noisy linear measurements, then later approximately recover $x$ given only those measurement outcomes. Various…

Information Theory · Computer Science 2016-06-07 Tom Morgan , Jelani Nelson

In colocated compressive sensing MIMO radar, the measurement matrix is specified by antenna placement. To guarantee an acceptable recovery performance, this measurement matrix should satisfy certain properties, e.g., a small coherence.…

Information Theory · Computer Science 2022-10-25 Bastian Eisele , Ali Bereyhi , Ingrid Ullmann , Ralf Müller
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