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This paper presents a novel, model-based compressive antenna design method for high sensing capacity imaging applications. Given a set of design constraints, the method maximizes the sensing capacity of the compressive antenna by varying…

Optimization and Control · Mathematics 2015-10-06 Richard Obermeier , Jose Angel Martinez-Lorenzo

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

Information Theory · Computer Science 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

Compressed sensing provides an efficient framework for reconstructing wave signals from reduced measurements. For multi-channel buoy data, the three displacement components exhibit intrinsic correlations, as wave motion contributes…

Geophysics · Physics 2026-05-26 Qingyu Jiang , Henrik Kalisch , Michel Benoit , Karoline Holand , Patrick Sprenger

Compressive sensing has been used to demonstrate scene reconstruction and source localization in a wide variety of devices. To date, optical compressive sensors have not been able to achieve significant volume reduction relative to…

We propose and investigate a compressive architecture for estimation and tracking of sparse spatial channels in millimeter (mm) wave picocellular networks. The base stations are equipped with antenna arrays with a large number of elements…

Information Theory · Computer Science 2016-05-04 Zhinus Marzi , Dinesh Ramasamy , Upamanyu Madhow

We consider the compressive sensing of a sparse or compressible signal ${\bf x} \in {\mathbb R}^M$. We explicitly construct a class of measurement matrices, referred to as the low density frames, and develop decoding algorithms that produce…

Information Theory · Computer Science 2009-03-05 Mehmet Akçakaya , Jinsoo Park , Vahid Tarokh

Recreating complex, high-dimensional global fields from limited data points is a grand challenge across various scientific and industrial domains. Given the prohibitive costs of specialized sensors and the frequent inaccessibility of…

Compressed sensing of sparse sources can be improved by incorporating prior knowledge of the source. In this paper we demonstrate a method for optimal selection of weights in weighted $L_1$ norm minimization for a noiseless reconstruction…

Information Theory · Computer Science 2013-09-17 Toshiyuki Tanaka , Jack Raymond

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…

Statistics Theory · Mathematics 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker

The fundamental principle underlying compressed sensing is that a signal, which is sparse under some basis representation, can be recovered from a small number of linear measurements. However, prior knowledge of the sparsity basis is…

Information Theory · Computer Science 2010-04-29 Sivan Gleichman , Yonina C. Eldar

We study compressive sensing in the spatial domain to achieve target localization, specifically direction of arrival (DOA), using multiple-input multiple-output (MIMO) radar. A sparse localization framework is proposed for a MIMO array in…

Information Theory · Computer Science 2014-07-03 Marco Rossi , Alexander M. Haimovich , Yonina C. Eldar

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Oversampled adaptive sensing (OAS) is a recently proposed Bayesian framework which sequentially adapts the sensing basis. In OAS, estimation quality is, in each step, measured by conditional mean squared errors (MSEs), and the basis for the…

Information Theory · Computer Science 2018-11-16 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

Compressed sensing (sparse signal recovery) often encounters nonnegative data (e.g., images). Recently we developed the methodology of using (dense) Compressed Counting for recovering nonnegative K-sparse signals. In this paper, we adopt…

Methodology · Statistics 2014-01-03 Ping Li , Cun-Hui Zhang , Tong Zhang

The recovery of signals with finite-valued components from few linear measurements is a problem with widespread applications and interesting mathematical characteristics. In the compressed sensing framework, tailored methods have been…

Optimization and Control · Mathematics 2019-07-24 Sophie M. Fosson , Mohammad Abuabiah

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

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

Compressive Sensing has been utilized in Cognitive Radio Networks (CRNs) to exploit the sparse nature of the occupation of the primary users. Also, distributed spectrum sensing has been proposed to tackle the wireless channel problems, like…

Information Theory · Computer Science 2016-06-14 Mohamed Seif , Tamer Elbatt , Karim G. Seddik

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…

Signal Processing · Electrical Eng. & Systems 2021-08-23 Syed A. Hamza , Moeness G. Amin