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We propose a fast sequential algorithm for the fundamental problem of estimating frequencies and amplitudes of a noisy mixture of sinusoids. The algorithm is a natural generalization of Orthogonal Matching Pursuit (OMP) to the continuum…

Information Theory · Computer Science 2016-08-24 Babak Mamandipoor , Dinesh Ramasamy , Upamanyu Madhow

Channel estimation and extrapolation are fundamental issues in MIMO communication systems. In this paper, we proposed the quasi-Newton orthogonal matching pursuit (QNOMP) approach to overcome these issues with high efficiency while…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Yi Zeng , Mingguang Han , Xiaoguang Li , Tiejun Li

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

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

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

Orthogonal Matching Pursuit (OMP) has been a powerful method in sparse signal recovery and approximation. However, OMP suffers computational issues when the signal has a large number of non-zeros. This paper advances OMP and its extension…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Huiyuan Yu , Jia He , Maggie Cheng

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

The Orthogonal Matching Pursuit (OMP) for compressed sensing iterates over a scheme of support augmentation and signal estimation. We present two novel matching pursuit algorithms with intrinsic regularization of the signal estimation step…

Information Theory · Computer Science 2019-02-22 Robert Seidel

The linear frequency modulated (LFM) frequency agile radar (FAR) can synthesize a wide signal bandwidth through coherent processing while keeping the bandwidth of each pulse narrow. In this way, high range resolution profiles (HRRP) can be…

Signal Processing · Electrical Eng. & Systems 2021-02-01 Jiang Zhu , Honghui Guo , Ning Zhang , Chunyi Song , Zhiwei Xu

Tomographic synthetic aperture radar (TomoSAR) enables three-dimensional imaging by resolving targets along the elevation dimension, which is essential for environment reconstruction and infrastructure monitoring. A critical challenge in…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Qiuyuan Yang , Cunhua Pan , Hong Ren , Jiangzhou Wang

In this paper, we propose first a mmWave channel tracking algorithm based on multidimensional orthogonal matching pursuit algorithm (MOMP) using reduced sparsifying dictionaries, which exploits information from channel estimates in previous…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Yun Chen , Nuria González-Prelcic , Takayuki Shimizu , Hongshen Lu , Chinmay Mahabal

As a greedy algorithm to recover sparse signals from compressed measurements, orthogonal matching pursuit (OMP) algorithm has received much attention in recent years. In this paper, we introduce an extension of the OMP for pursuing…

Information Theory · Computer Science 2014-04-01 Jian Wang , Seokbeop Kwon , Byonghyo Shim

Accurate targets detection and tracking with mmWave radar is a key sensing capability that will enable more intelligent systems, create smart, efficient, automated system. This paper proposes an end-to-end detection-estimation-track…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Jiang Zhu , Menghuai Xu , Ruohai Guo , Fangyong Wang , Guangying Zheng , Fengzhong Qu

In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

Information Theory · Computer Science 2016-01-27 Kyung Su Kim , Sae-Young Chung

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

Orthogonal matching pursuit (OMP) is a widely used algorithm for recovering sparse high dimensional vectors in linear regression models. The optimal performance of OMP requires \textit{a priori} knowledge of either the sparsity of…

Machine Learning · Statistics 2018-06-05 Sreejith Kallummil , Sheetal Kalyani

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

A well-known analysis of Tropp and Gilbert shows that orthogonal matching pursuit (OMP) can recover a k-sparse n-dimensional real vector from 4 k log(n) noise-free linear measurements obtained through a random Gaussian measurement matrix…

Information Theory · Computer Science 2015-05-28 Alyson K. Fletcher , Sundeep Rangan

As radar systems will be equipped with thousands of antenna elements and wide bandwidth, the associated costs and power consumption become exceedingly high, and a potential solution is to adopt low-resolution quantization technology, which…

Signal Processing · Electrical Eng. & Systems 2024-08-06 Jiang Zhu , Hansheng Zhang , Ning Zhang , Jun Fang , Fengzhong Qu

We present an algorithm, dubbed Multi-Branch Matching Pursuit (MBMP), to solve the sparse recovery problem over redundant dictionaries. MBMP combines three different paradigms: being a greedy method, it performs iterative signal support…

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