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Envelope methods offer targeted dimension reduction for various models. The overarching goal is to improve efficiency in multivariate parameter estimation by projecting the data onto a lower-dimensional subspace known as the envelope.…

Methodology · Statistics 2022-07-13 Xin Zhang , Kai Deng , Qing Mai

A continuous-aperture array (CAPA)-based integrated sensing and communications (ISAC) framework is proposed for both downlink and uplink scenarios. Within this framework, continuous operator-based signal models are employed to describe the…

Information Theory · Computer Science 2026-01-22 Boqun Zhao , Chongjun Ouyang , Xingqi Zhang , Hyundong Shin , Yuanwei Liu

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

Information Theory · Computer Science 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

Cross-correlation is a popular signal processing technique used in numerous location tracking systems for obtaining reliable range information. However, its efficient design and practical implementation has not yet been achieved on mote…

Other Computer Science · Computer Science 2016-06-14 Prasant Misra , Wen Hu , Mingrui Yang , Marco Duarte , Sanjay Jha

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

Subspace identification methods (SIMs) have proven very powerful for estimating linear state-space models. To overcome the deficiencies of classical SIMs, a significant number of algorithms has appeared over the last two decades, where most…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

We study the problem of signal estimation from non-linear observations when the signal belongs to a low-dimensional set buried in a high-dimensional space. A rough heuristic often used in practice postulates that non-linear observations may…

Information Theory · Computer Science 2015-11-17 Yaniv Plan , Roman Vershynin

We propose a Bayesian methodology for estimating spiked covariance matrices with jointly sparse structure in high dimensions. The spiked covariance matrix is reparametrized in terms of the latent factor model, where the loading matrix is…

Methodology · Statistics 2019-01-31 Fangzheng Xie , Yanxun Xu , Carey E. Priebe , Joshua Cape

The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity. The…

Optimization and Control · Mathematics 2018-12-31 Jan Kuske , Stefania Petra

This paper investigates a low-altitude integrated sensing and communication (ISAC) system that leverages cooperative rotatable active and passive arrays. We consider a downlink scenario where a base station (BS) with an active rotatable…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Ziyuan Zheng , Qingqing Wu , Yanze Zhu , Honghao Wang , Ying Gao , Wen Chen , Jian Xiong

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

Machine Learning · Computer Science 2025-09-16 Shane Stevenson , Maryam Sabagh

Recent work has focused on the problem of conducting linear regression when the number of covariates is very large, potentially greater than the sample size. To facilitate this, one useful tool is to assume that the model can be well…

Methodology · Statistics 2011-11-21 Zhou Fang

Compressed Sensing (CS) is suitable for remote acquisition of hyperspectral images for earth observation, since it could exploit the strong spatial and spectral correlations, llowing to simplify the architecture of the onboard sensors.…

Information Theory · Computer Science 2014-03-10 Simeon Kamdem Kuiteing , Giulio Coluccia , Alessandro Barducci , Mauro Barni , Enrico Magli

Recent advances in signal processing have focused on the use of sparse representations in various applications. A new field of interest based on sparsity has recently emerged: compressed sensing. This theory is a new sampling framework that…

Astrophysics · Physics 2009-11-13 J. Bobin , J-L Starck , R. Ottensamer

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

Statistics Theory · Mathematics 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

The phase transition is a performance measure of the sparsity-undersampling tradeoff in compressed sensing (CS). This letter reports our first observation and evaluation of an empirical phase transition of the $\ell_1$ minimization approach…

Information Theory · Computer Science 2015-05-30 Zai Yang , Cishen Zhang , Lihua Xie

We propose a method for estimating a covariance matrix that can be represented as a sum of a low-rank matrix and a diagonal matrix. The proposed method compresses high-dimensional data, computes the sample covariance in the compressed…

Methodology · Statistics 2017-04-04 Gautam Sabnis , Debdeep Pati , Anirban Bhattacharya

As a lossy compression framework, compressed sensing has drawn much attention in wireless telemonitoring of biosignals due to its ability to reduce energy consumption and make possible the design of low-power devices. However, the…

Information Theory · Computer Science 2014-04-22 Zhilin Zhang , Bhaskar D. Rao , Tzyy-Ping Jung

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

A range of efficient wireless processes and enabling techniques are put under a magnifier glass in the quest for exploring different manifestations of correlated processes, where sub-Nyquist sampling may be invoked as an explicit benefit of…

Information Theory · Computer Science 2017-09-08 Zhen Gao , Linglong Dai , Shuangfeng Han , I Chih-Lin , Zhaocheng Wang , Lajos Hanzo
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