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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

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

In this paper, we consider orthogonal matching pursuit (OMP) algorithm for multiple measurement vectors (MMV) problem. The robustness of OMPMMV is studied under general perturbations---when the measurement vectors as well as the sensing…

Information Theory · Computer Science 2011-09-30 Jie Ding , Laming Chen , Yuantao Gu

The maximum likelihood (ML) and maximum a posteriori (MAP) estimation techniques are widely used to address the direction-of-arrival (DOA) estimation problems, an important topic in sensor array processing. Conventionally the ML estimators…

Applications · Statistics 2016-03-31 Xin Zhang , Mohammed Nabil El Korso , Marius Pesavento

We propose a novel greedy algorithm for the support recovery of a sparse signal from a small number of noisy measurements. In the proposed method, a new support index is identified for each iteration based on bit-wise maximum a posteriori…

Information Theory · Computer Science 2019-10-29 J. Chae , S. -N. Hong

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

This paper introduces an ESPRIT-based algorithm to estimate the directions-of-arrival and polarizations for multiple sources. The investigated algorithm is based on new sparse array geometries, which are composed of three non-collocating…

Applications · Statistics 2013-08-02 Xin Yuan

Direction of arrival (DOA) estimation in array processing using uniform/sparse linear arrays is concerned in this paper. While sparse methods via approximate parameter discretization have been popular in the past decade, the discretization…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie , Cishen Zhang

Direction of arrival (DOA) estimation is a fundamental problem in array signal processing with applications spanning radar, sonar, wireless communications, and acoustic signal processing. This tutorial survey provides a comprehensive…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Amgad A. Salama

We consider the high-dimensional sparse linear regression problem of accurately estimating a sparse vector using a small number of linear measurements that are contaminated by noise. It is well known that the standard cadre of…

Statistics Theory · Mathematics 2014-02-25 Divyanshu Vats , Richard G. Baraniuk

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

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

Compressive sensing (CS) has recently emerged as a powerful framework for acquiring sparse signals. The bulk of the CS literature has focused on the case where the acquired signal has a sparse or compressible representation in an…

Information Theory · Computer Science 2013-06-24 Mark A. Davenport , Deanna Needell , Michael B. Wakin

Since most components of sparse multi-path channel (SMPC) are zero, impulse response of SMPC can be recovered from a short training sequence. Though the ordinary orthogonal matching pursuit (OMP) algorithm provides a very fast…

Information Theory · Computer Science 2010-05-24 Ruiming Yang , Qun Wan , Yipeng Liu , Wanlin Yang

Sampling rate is the bottleneck for spectrum sensing over multi-GHz bandwidth. Recent progress in compressed sensing (CS) initialized several sub-Nyquist rate approaches to overcome the problem. However, efforts to design CS reconstruction…

Information Theory · Computer Science 2011-02-15 Peng Zhang , Robert Qiu

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 is a direct followup of the recent author's paper. In this paper we continue to analyze approximation and recovery properties with respect to systems satisfying universal sampling discretization property and a special…

Numerical Analysis · Mathematics 2024-01-29 V. Temlyakov

A novel sparse array synthesis method for non-uniform planar arrays is proposed, which belongs to compressive sensing (CS)-based systhesis. Particularly, we propose an off-grid refinement technique to simultaneously optimize the antenna…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Baojuan Liu , Zhiqin Hong , Zhongpei Zhang

An approach to the estimation of the Direction of Arrival (DOA) of wide-band signals with a planar microphone array is presented. Our algorithm estimates an unambiguous DOA using a single planar array in which the microphones are placed…

Sound · Computer Science 2018-11-19 Rudolf Byker , Thomas Niesler

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
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