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Closed-loop architecture is widely utilized in automatic control systems and attain distinguished performance. However, classical compressive sensing systems employ open-loop architecture with separated sampling and reconstruction units.…

机器学习 · 计算机科学 2022-07-21 Honggui Li , Maria Trocan , Dimitri Galayko , Mohamad Sawan

A novel compressive-sensing based signal multiplexing scheme is proposed in this paper to further improve the multiplexing gain for multiple input multiple output (MIMO) system. At the transmitter side, a Gaussian random measurement matrix…

信息论 · 计算机科学 2016-04-05 Chanzi Liu , Qingchun Chen , Xiaohu Tang

We present improved sampling complexity bounds for stable and robust sparse recovery in compressed sensing. Our unified analysis based on l1 minimization encompasses the case where (i) the measurements are block-structured samples in order…

信息论 · 计算机科学 2020-05-22 Ben Adcock , Claire Boyer , Simone Brugiapaglia

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…

统计理论 · 数学 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker

The problem of recovering signals of high complexity from low quality sensing devices is analyzed via a combination of tools from signal processing and harmonic analysis. By using the rich structure offered by the recent development in…

信息论 · 计算机科学 2020-03-16 Roza Aceska , Jean-Luc Bouchot , Shidong Li

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

数值分析 · 数学 2014-04-02 Guangliang Chen , Atul Divekar , Deanna Needell

Inspired by significant real-life applications, in particular, sparse phase retrieval and sparse pulsation frequency detection in Asteroseismology, we investigate a general framework for compressed sensing, where the measurements are…

数值分析 · 数学 2017-09-04 Martin Ehler , Massimo Fornasier , Juliane Sigl

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…

最优化与控制 · 数学 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

The task of compressed sensing is to recover a sparse vector from a small number of linear and non-adaptive measurements, and the problem of finding a suitable measurement matrix is very important in this field. While most recent works…

信息论 · 计算机科学 2012-12-18 Yi-Zheng Fan , Tao Huang , Ming Zhu

Many inverse problems in signal processing deal with the robust estimation of unknown data from underdetermined linear observations. Low dimensional models, when combined with appropriate regularizers, have been shown to be efficient at…

信息论 · 计算机科学 2016-12-07 Yann Traonmilin , Rémi Gribonval

Traditional compressed sensing considers sampling a 1D signal. For a multidimensional signal, if reshaped into a vector, the required size of the sensing matrix becomes dramatically large, which increases the storage and computational…

信息论 · 计算机科学 2016-11-17 Hao Fang , Sergiy A. Vorobyov , Hai Jiang , Omid Taheri

Unlike compressive sensing where the measurement outputs are assumed to be real-valued and have infinite precision, in "one-bit compressive sensing", measurements are quantized to one bit, their signs. In this work, we show how to recover…

信息论 · 计算机科学 2017-05-03 Jayadev Acharya , Arnab Bhattacharyya , Pritish Kamath

This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the…

信息论 · 计算机科学 2015-06-22 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Peilin Liu , Wenxian Yu

We consider the problem of recovering a structured signal $\mathbf{x} \in \mathbb{R}^{n}$ from noisy linear observations $\mathbf{y} =\mathbf{M} \mathbf{x}+\mathbf{w}$. The measurement matrix is modeled as $\mathbf{M} =…

信息论 · 计算机科学 2021-11-02 Alireza Naderi , Yaniv Plan

Radar imaging systems transmit modulated wideband waveform to achieve high range resolution resulting in high sampling rates at the receiver proportional to the bandwidth of the transmit waveform. Analog processing techniques can be used on…

信息论 · 计算机科学 2015-10-08 Nithin Sugavanam , Emre Ertin

Distributed compressed sensing is concerned with representing an ensemble of jointly sparse signals using as few linear measurements as possible. Two novel joint reconstruction algorithms for distributed compressed sensing are presented in…

信息论 · 计算机科学 2014-05-22 Diego Valsesia , Giulio Coluccia , Enrico Magli

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

信息论 · 计算机科学 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

机器学习 · 计算机科学 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

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…

信息论 · 计算机科学 2021-09-21 Elad Romanov , Or Ordentlich

In many applications in compressed sensing, the measurement matrix is a Fourier matrix, i.e., it measures the Fourier transform of the underlying signal at some specified `base' frequencies $\{u_i\}_{i=1}^M$, where $M$ is the number of…

信息论 · 计算机科学 2018-02-09 Eeshan Malhotra , Himanshu Pandotra , Ajit Rajwade , Karthik S. Gurumoorthy
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