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In this note, we investigate the theoretical properties of Orthogonal Matching Pursuit (OMP), a class of decoder to recover sparse signal in compressed sensing. In particular, we show that the OMP decoder can give $(p,q)$ instance…

Information Theory · Computer Science 2011-02-18 Zhiqiang Xu

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

Numerical Analysis · Computer Science 2015-02-13 Yuanyi Xue , Yao Wang

Direction-of-arrival (DOA) estimation for incoherently distributed (ID) sources is essential in multipath wireless communication scenarios, yet it remains challenging due to the combined effects of angular spread and gain-phase…

Signal Processing · Electrical Eng. & Systems 2025-01-29 He Xu , Tuo Wu , Wei Liu , Maged Elkashlan , Naofal Al-Dhahir , Merouane Debbah , Chau Yuen , Hing Cheung So

Conventional correlation-based frame synchronization techniques can suffer significant performance degradation over multi-path frequency-selective channels. As a remedy, in this paper we consider joint frame synchronization and channel…

Information Theory · Computer Science 2017-09-06 Ozgur Ozdemir , Ridha Hamila , Naofal Al-Dhahir , Ismail Guvenc

This paper studies the joint support recovery of similar sparse vectors on the basis of a limited number of noisy linear measurements, i.e., in a multiple measurement vector (MMV) model. The additive noise signals on each measurement vector…

Information Theory · Computer Science 2015-06-18 J. F. Determe , J. Louveaux , L. Jacques , F. Horlin

In this paper, we study the problem of estimating the direction of arrival (DOA) using a sparsely sampled uniform linear array (ULA). Based on an initial incomplete ULA measurement, our strategy is to choose a sparse subset of array…

Signal Processing · Electrical Eng. & Systems 2022-02-22 Mohammad Bokaei , Saeed Razavikia , Arash Amini , Stefano Rini

Compressed Sensing (CS) is a signal processing technique which can accurately recover sparse signals from linear measurements with far fewer number of measurements than those required by the classical Shannon-Nyquist theorem. Block sparse…

Information Theory · Computer Science 2019-01-30 Haifeng Li , Jinming Wen

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

Accurate direction of arrival (DoA) and time of arrival (ToA) estimation is an stringent requirement for several wireless systems like sonar, radar, communications, and dual-function radar communication (DFRC). Due to the use of high…

Signal Processing · Electrical Eng. & Systems 2024-09-16 Chandrashekhar Rai , Debarati Sen

We propose a novel multi-source direction of arrival (DOA) estimation technique using a convolutional neural network algorithm which learns the modal coherence patterns of an incident soundfield through measured spherical harmonic…

Sound · Computer Science 2020-03-19 A. Fahim , P. N. Samarasinghe , T. D. Abhayapala

Spatial compressive sensing (SCS) has recently been applied to direction-of-arrival (DOA) estimation owing to advantages over conventional ones. However the performance of compressive sensing (CS)-based estimation methods decreases when…

Information Theory · Computer Science 2016-01-20 Liang Liu , Ping Wei

The problem of direction-of-arrival (DOA) estimation in the presence of nonuniform sensor noise is considered and a novel algorithm is developed. The algorithm consists of three phases. First, the diagonal nonuniform sensor noise covariance…

Signal Processing · Electrical Eng. & Systems 2021-10-01 Majdoddin Esfandiari , Sergiy A. Vorobyov

The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner…

Information Theory · Computer Science 2016-10-14 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Direction of Arrival (DoA) estimation using Sparse Linear Arrays (SLAs) has recently gained considerable attention in array processing thanks to their capability to provide enhanced degrees of freedom in resolving uncorrelated source…

Signal Processing · Electrical Eng. & Systems 2021-12-01 Saeid Sedighi , M. R. Bhavani Shankar , Mojtaba Soltanalian , Björn Ottersten

In traditional compressed sensing theory, the dictionary matrix is given a priori, whereas in real applications this matrix suffers from random noise and fluctuations. In this paper we consider a signal model where each column in the…

Information Theory · Computer Science 2015-06-17 Zhao Tan , Peng Yang , Arye Nehorai

High-performance computing of array signal processing problems is a critical task as real-time system performance is required for many applications. Noise subspace-based Direction-of-Arrival (DOA) estimation algorithms are popular in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-29 Hamza Eray , Alptekin Temizel

Unions of subspaces provide a powerful generalization to linear subspace models for collections of high-dimensional data. To learn a union of subspaces from a collection of data, sets of signals in the collection that belong to the same…

Machine Learning · Computer Science 2016-10-28 Eva L. Dyer , Aswin C. Sankaranarayanan , Richard G. Baraniuk

Multiple-input multiple-output (MIMO) radar systems have been shown to achieve superior resolution as compared to traditional radar systems with the same number of transmit and receive antennas. This paper considers a distributed MIMO radar…

Information Theory · Computer Science 2016-11-15 Yao Yu , Athina P. Petropulu , H. Vincent Poor

Sparse arrays enable resolving more direction of arrivals (DoAs) than antenna elements using non-uniform arrays. This is typically achieved by reconstructing the covariance of a virtual large uniform linear array (ULA), which is then…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Yoav Amiel , Dor H. Shmuel , Nir Shlezinger , Wasim Huleihel

Direction-of-Arrival (DOA) estimation in sensor arrays faces limitations under demanding conditions, including low signal-to-noise ratio, single-snapshot scenarios, coherent sources, and unknown source counts. Conventional beamforming…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Xuyao Deng , Yong Dou , Kele Xu
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