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Radio channels are typically sparse in the delay domain, and ideal for compressed sensing. A new compressed sensing algorithm called eX-OMP is developed that yields performance similar to that of the optimal MMSE estimator. The new…

Information Theory · Computer Science 2016-12-23 Jonathan Ling , Dmitry Chizhik , A. Tulino , Inaki Esnaola

Though the method of least squares has been used for a long time in solving signal processing problems, in the recent field of sparse recovery from compressed measurements, this method has not been given much attention. In this paper we…

Information Theory · Computer Science 2016-08-01 Samrat Mukhopadhyay , Prateek Vashishtha and , Mrityunjoy Chakraborty

Recovering the support of sparse vectors in underdetermined linear regression models, \textit{aka}, compressive sensing is important in many signal processing applications. High SNR consistency (HSC), i.e., the ability of a support recovery…

Signal Processing · Electrical Eng. & Systems 2018-11-20 Sreejith Kallummil , Sheetal Kalyani

Space-time adaptive processing (STAP) algorithms with coprime arrays can provide good clutter suppression potential with low cost in airborne radar systems as compared with their uniform linear arrays counterparts. However, the performance…

Signal Processing · Electrical Eng. & Systems 2020-01-07 X. Wang , Z. Yang , J. Huang , R. C. de Lamare

We consider designing a robust structured sparse sensing matrix consisting of a sparse matrix with a few non-zero entries per row and a dense base matrix for capturing signals efficiently We design the robust structured sparse sensing…

Signal Processing · Electrical Eng. & Systems 2019-02-06 Tao Hong , Xiao Li , Zhihui Zhu , Qiuwei Li

Greedy algorithms for feature selection are widely used for recovering sparse high-dimensional vectors in linear models. In classical procedures, the main emphasis was put on the sample complexity, with little or no consideration of the…

Machine Learning · Statistics 2021-02-11 El Mehdi Saad , Gilles Blanchard , Sylvain Arlot

We present an innovative approach to the synthesis of linear arrays having the least possible number of elements while radiating shaped beams lying in completely arbitrary power masks. The approach, based on theory and procedures lend from…

Applied Physics · Physics 2017-10-16 A. F. Morabito , A. R. Laganà , G. Sorbello , T. Isernia

Beampattern synthesis is a key problem in many wireless applications. With the increasing scale of MIMO antenna array, it is highly desired to conduct beampattern synthesis on a sparse array to reduce the power and hardware cost. In this…

Signal Processing · Electrical Eng. & Systems 2021-06-08 Tong Wei , Linlong Wu , M. R. Bhavani Shankar

As an enabling technique of cognitive radio (CR), compressive spectrum sensing (CSS) based on compressive sensing (CS) can detect the spectrum opportunities from wide frequency bands efficiently and accurately by using sub-Nyquist sampling…

Signal Processing · Electrical Eng. & Systems 2023-11-03 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

The performance of Orthogonal Matching Pursuit (OMP) for variable selection is analyzed for random designs. When contrasted with the deterministic case, since the performance is here measured after averaging over the distribution of the…

Machine Learning · Statistics 2011-09-06 Antony Joseph

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

Information Theory · Computer Science 2013-02-26 M. A. Iwen

A greedy algorithm called Bayesian multiple matching pursuit (BMMP) is proposed to estimate a sparse signal vector and its support given $m$ linear measurements. Unlike the maximum a posteriori (MAP) support detection, which was proposed by…

Information Theory · Computer Science 2019-04-04 Kyung-Su Kim , Sae-Young Chung

This paper introduces a Compressed Sensing (CS) estimation scheme for Orthogonal Time Frequency Space (OTFS) channels with sparse multipath. The OTFS waveform represents signals in a two dimensional Delay-Doppler (DD) orthonormal basis. The…

Information Theory · Computer Science 2021-11-25 Felipe Gómez-Cuba

We address the problem of joint sparsity pattern recovery based on low dimensional multiple measurement vectors (MMVs) in resource constrained distributed networks. We assume that distributed nodes observe sparse signals which share the…

Information Theory · Computer Science 2015-06-16 Thankshila Wimalajeewa , Pramod K. Varshney

We present a theoretical analysis of the average performance of OMP for sparse approximation. For signals that are generated from a dictionary with $K$ atoms and coherence $\mu$ and coefficients corresponding to a geometric sequence with…

Information Theory · Computer Science 2019-07-16 Karin Schnass

In compressive sensing, the basis pursuit algorithm aims to find the sparsest solution to an underdetermined linear equation system. In this paper, we generalize basis pursuit to finding the sparsest solution to higher order nonlinear…

Information Theory · Computer Science 2013-04-23 Henrik Ohlsson , Allen Y. Yang , Roy Dong , S. Shankar Sastry

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, the joint support recovery of several sparse signals whose supports present similarities is examined. Each sparse signal is acquired using the same noisy linear measurement process, which returns fewer observations than the…

Information Theory · Computer Science 2017-02-20 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Greedy approaches in general, and orthogonal matching pursuit in particular, are the most commonly used sparse recovery techniques in a wide range of applications. The complexity of these approaches is highly dependent on the size of the…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Joan Palacios , Nuria González-Prelcic , Cristian Rusu

Composed of multiple interconnected pixels controlled by on/off RF switches, the pixel antenna can generate reconfigurable radiation patterns that can be further exploited to construct diverse pilot sequences for effective channel…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Yiting Chen , Yumeng Zhang , Hongyu Li
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