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Motivated by applications in unsourced random access, this paper develops a novel scheme for the problem of compressed sensing of binary signals. In this problem, the goal is to design a sensing matrix $A$ and a recovery algorithm, such…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich

In this paper we study the problem of recovering sparse or compressible signals from uniformly quantized measurements. We present a new class of convex optimization programs, or decoders, coined Basis Pursuit DeQuantizer of moment $p$…

Optimization and Control · Mathematics 2015-03-13 Laurent Jacques , David K. Hammond , M. Jalal Fadili

This paper presents a tutorial for CS applications in communications networks. The Shannon's sampling theorem states that to recover a signal, the sampling rate must be as least the Nyquist rate. Compressed sensing (CS) is based on the…

Networking and Internet Architecture · Computer Science 2014-02-07 Hong Huang , Satyajayant Misra , Wei Tang , Hajar Barani , Hussein Al-Azzawi

We propose to reduce the original well-posed problem of compressive sensing to weighted-MAX-SAT. Compressive sensing is a novel randomized data acquisition approach that linearly samples sparse or compressible signals at a rate much below…

Information Theory · Computer Science 2019-05-28 Ramin Ayanzadeh , Milton Halem , Tim Finin

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

Information Theory · Computer Science 2010-11-12 Nam Yul Yu

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

Spectrum resources are facing huge demands and cognitive radio (CR) can improve the spectrum utilization. Recently, power spectral density (PSD) map is defined to enable the CR to reuse the frequency resources regarding to the area. For…

Information Theory · Computer Science 2016-12-12 Mohammad Eslami , Farah Torkamani-Azar , Esfandiar Mehrshahi

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 $N$…

Information Theory · Computer Science 2014-01-27 Saeed Bagheri , Anna Scaglione

Spectrum sensing is a fundamental component in cognitive radio. A major challenge in this area is the requirement of a high sampling rate in the sensing of a wideband signal. In this paper a wideband spectrum sensing model is presented that…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi , Kasra Haghighi , Arash Owrang , Mats Viberg

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Let $x\in\mathbb{C}^n$ be a spectrally sparse signal consisting of $r$ complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is about reconstructing $x$ from its partial revealed entries. By…

Optimization and Control · Mathematics 2017-08-01 Jian-Feng Cai , Tianming Wang , Ke Wei

This correspondence presents a novel sensing-assisted sparse channel recovery approach for massive antenna wireless communication systems. We focus on a fundamental configuration with one massive-antenna base station (BS) and one…

Information Theory · Computer Science 2023-11-13 Zixiang Ren , Ling Qiu , Jie Xu , Derrick Wing Kwan Ng

We consider large scale distributed optimization over a set of edge devices connected to a central server, where the limited communication bandwidth between the server and edge devices imposes a significant bottleneck for the optimization…

Optimization and Control · Mathematics 2021-12-28 Yujie Tang , Vikram Ramanathan , Junshan Zhang , Na Li

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

Information Theory · Computer Science 2010-01-26 Galen Reeves , Michael Gastpar

Compressed sensing (CS) is a promising tool for reducing sampling costs. Current deep neural network (NN)-based CS methods face the challenges of collecting labeled measurement-ground truth (GT) data and generalizing to real applications.…

Signal Processing · Electrical Eng. & Systems 2024-08-15 Bin Chen , Xuanyu Zhang , Shuai Liu , Yongbing Zhang , Jian Zhang

This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Tin Vlašić , Damir Seršić

In this paper, we develop a new framework for sensing and recovering structured signals. In contrast to compressive sensing (CS) systems that employ linear measurements, sparse representations, and computationally complex convex/greedy…

Machine Learning · Computer Science 2016-09-01 Ali Mousavi , Ankit B. Patel , Richard G. Baraniuk

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

Applications · Statistics 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Quantum sensing utilizes quantum systems as sensors to capture weak signal, and provides new opportunities in nowadays science and technology. The strongest adversary in quantum sensing is decoherence due to the coupling between the sensor…

Quantum Physics · Physics 2020-07-15 Yijin Xie , Jianpei Geng , Huiyao Yu , Xing Rong , Ya Wang , Jiangfeng Du

Lossy image compression algorithms are pervasively used to reduce the size of images transmitted over the web and recorded on data storage media. However, we pay for their high compression rate with visual artifacts degrading the user…

Computer Vision and Pattern Recognition · Computer Science 2018-01-30 Lukas Cavigelli , Pascal Hager , Luca Benini