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Compressive sensing (CS) combines data acquisition with compression coding to reduce the number of measurements required to reconstruct a sparse signal. In optics, this usually takes the form of projecting the field onto sequences of random…

信息论 · 计算机科学 2018-10-24 Davood Mardani , H. Esat Kondakci , Lane Martin , Ayman F. Abouraddy , George K. Atia

In this letter, we propose a new wireless sensing system equipped with a rotatable antenna (RA) array to enhance the sensing performance of a uniform sparse array (USA). To tackle the severe spatial undersampling issues, we propose a novel…

信号处理 · 电气工程与系统科学 2026-05-22 Chengzhi Ye , Ruoyu Zhang , Jincheng Du , Wenyan Ma , Qingqing Wu , Wen Wu , Rui Zhang

Compressed sensing allows for the recovery of sparse signals from few measurements, whose number is proportional to the sparsity of the unknown signal, up to logarithmic factors. The classical theory typically considers either random linear…

Sparse voxel-based 3D convolutional neural networks (CNNs) are widely used for various 3D vision tasks. Sparse voxel-based 3D CNNs create sparse non-empty voxels from the 3D input and perform 3D convolution operations on them only. We…

计算机视觉与模式识别 · 计算机科学 2021-08-17 Yu-Qi Yang , Peng-Shuai Wang , Yang Liu

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

信号处理 · 电气工程与系统科学 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

The paper considers sparse array design for receive beamforming achieving maximum signal-to-interference plus noise ratio (MaxSINR). We develop a design approach based on supervised neural network where class labels are generated using an…

信号处理 · 电气工程与系统科学 2021-08-23 Syed A. Hamza , Moeness G. Amin

We briefly consider some design aspects of aperture arrays for use in radio astronomy, particularly contrasting the performance of dense and sparse aperture arrays. Recent insights have emerged in the final design phase of LOFAR which…

天体物理学 · 物理学 2007-05-23 Robert Braun , Wim van Cappellen

The authors recently proposed a MIMO radar system that is implemented by a small wireless network. By applying compressive sensing (CS) at the receive nodes, the MIMO radar super-resolution can be achieved with far fewer observations than…

信息论 · 计算机科学 2009-12-08 Yao Yu , Athina P. Petropulu , H. Vincent Poor

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

信息论 · 计算机科学 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

In this letter we study the subwavelength imaging of sparse broadband sources inside a disordered medium by processing the data acquired by a single antenna. A mathematical model has been developed for solving such problem based on the idea…

光学 · 物理学 2015-06-18 Lianlin Li , Fang Li , Tie Jun Cui

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

其他计算机科学 · 计算机科学 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

The goal of compressive sensing is efficient reconstruction of data from few measurements, sometimes leading to a categorical decision. If only classification is required, reconstruction can be circumvented and the measurements needed are…

计算机视觉与模式识别 · 计算机科学 2013-10-17 B. W. Brunton , S. L. Brunton , J. L. Proctor , J. N. Kutz

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

信号处理 · 电气工程与系统科学 2018-02-21 Tamara Koljensic , Caslav Labudovic

This paper extends the sample complexity theory for ill-posed inverse problems developed in a recent work by the authors [`Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform', J. Eur. Math. Soc.,…

Sparse coding and dictionary learning are popular techniques for linear inverse problems such as denoising or inpainting. However in many cases, the measurement process is nonlinear, for example for clipped, quantized or 1-bit measurements.…

信号处理 · 电气工程与系统科学 2020-01-08 Lucas Rencker , Francis Bach , Wenwu Wang , Mark D. Plumbley

The term fractal refers to the fractional dimensions that have recursive nature and exhibit better array factor properties. In this article, we present a new class of sparse array where the recursive nature of a fractal can be used in…

信号处理 · 电气工程与系统科学 2022-12-02 Kretika Goel , Monika Aggarwal , Subrat Kar

We study the problem of noisy sparse array interpolation, where a large virtual array is synthetically generated by interpolating missing sensors using matrix completion techniques that promote low rank. The current understanding is quite…

信号处理 · 电气工程与系统科学 2024-01-15 Robin Rajamäki , Mehmet Can Hücümenoğlu , Pulak Sarangi , Piya Pal

Compressed sensing is a relatively new mathematical paradigm that shows a small number of linear measurements are enough to efficiently reconstruct a large dimensional signal under the assumption the signal is sparse. Applications for this…

数值分析 · 数学 2018-01-08 Lenny Fukshansky , Deanna Needell , Benny Sudakov

Federated learning is a privacy-preserving approach to train a global model at a central server by collaborating with wireless devices, each with its own local training data set. In this paper, we present a compressive sensing approach for…

信号处理 · 电气工程与系统科学 2020-08-06 Yo-Seb Jeon , Mohammad Mohammadi Amiri , Jun Li , H. Vincent Poor