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Hard thresholding pursuit (HTP) is a recently proposed iterative sparse recovery algorithm which is a result of combination of a support selection step from iterated hard thresholding (IHT) and an estimation step from the orthogonal…

Information Theory · Computer Science 2020-06-03 Samrat Mukhopadhyay , Mrityunjoy Chakraborty

In this paper, we consider the problem of compressed sensing where the goal is to recover almost all the sparse vectors using a small number of fixed linear measurements. For this problem, we propose a novel partial hard-thresholding…

Information Theory · Computer Science 2011-06-15 Prateek Jain , Ambuj Tewari , Inderjit S. Dhillon

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

With the increasing popularity of large-scale antenna arrays, the subarraying technology becomes more attractive. In this paper, we propose two effective subarraying methods right after formulating the subarray synthesis as a compressive…

Signal Processing · Electrical Eng. & Systems 2022-01-03 Songjie Yang , Wanting Lyu , Zhongpei Zhang

Delay-Doppler (DD) signal processing has emerged as a powerful tool for analyzing multipath and time-varying channel effects. Due to the inherent sparsity of the wireless channel in the DD domain, compressed sensing (CS) based techniques,…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Hanning Wang , Xiang Huang , Rong-Rong Chen , Arman Farhang

Compressed sensing (CS) schemes are proposed for monostatic as well as synthetic aperture radar (SAR) imaging with chirped signals and Ultra-Narrowband (UNB) continuous waveforms. In particular, a simple, perturbation method is developed to…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Albert Fannjiang , Hsiao-Chieh Tseng

Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Longxin Bai , Jingchao Zhang , Liyan Qiao

As an extension of orthogonal matching pursuit (OMP) improving the recovery performance of sparse signals, generalized OMP (gOMP) has recently been studied in the literature. In this paper, we present a new analysis of the gOMP algorithm…

Information Theory · Computer Science 2015-06-15 Jian Wang , Suhyuk Kwon , Ping Li , Byonghyo Shim

Simultaneous orthogonal matching pursuit (SOMP) and block OMP (BOMP) are two widely used techniques for sparse support recovery in multiple measurement vector (MMV) and block sparse (BS) models respectively. For optimal performance, both…

Machine Learning · Statistics 2020-05-26 Sreejith Kallummil , Sheetal Kalyani

Finding the best K-sparse approximation of a signal in a redundant dictionary is an NP-hard problem. Suboptimal greedy matching pursuit (MP) algorithms are generally used for this task. In this work, we present an acceleration technique and…

Numerical Analysis · Mathematics 2022-02-28 Zdeněk Průša , Nicki Holighaus , Peter Balazs

The orthogonal matching pursuit (OMP) is an algorithm to solve sparse approximation problems. Sufficient conditions for exact recovery are known with and without noise. In this paper we investigate the applicability of the OMP for the…

Numerical Analysis · Mathematics 2010-10-26 Loic Denis , Dirk A. Lorenz , Dennis Trede

Orthogonal matching pursuit (OMP) is a greedy algorithm widely used for the recovery of sparse signals from compressed measurements. In this paper, we analyze the number of iterations required for the OMP algorithm to perform exact recovery…

Information Theory · Computer Science 2016-02-23 Jian Wang , Byonghyo Shim

Orthogonal Matching Pursuit (OMP) is a canonical greedy pursuit algorithm for sparse approximation. Previous studies of OMP have mainly considered the exact recovery of a sparse signal $\bm x$ through $\bm \Phi$ and $\bm y=\bm \Phi \bm x$,…

Information Theory · Computer Science 2015-05-28 Jie Ding , Laming Chen , Yuantao Gu

High dynamic range (HDR) image synthesis from multiple low dynamic range (LDR) exposures continues to be actively researched. The extension to HDR video synthesis is a topic of significant current interest due to potential cost benefits.…

Computer Vision and Pattern Recognition · Computer Science 2017-04-05 Yuelong Li , Chul Lee , Vishal Monga

Greedy sparse recovery has become a popular tool in many applications, although its complexity is still prohibitive when large sparsifying dictionaries or sensing matrices have to be exploited. In this paper, we formulate first a new class…

Signal Processing · Electrical Eng. & Systems 2022-11-01 Joan Palacios , Nuria González-Prelcic

High-resolution range profile (HRRP ) data are in vogue in radar automatic target recognition (RATR). With the interest in classifying models using HRRP, filling gaps in datasets using generative models has recently received promising…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Edwyn Brient , Santiago Velasco-Forero , Rami Kassab

We propose a method for synthesizing high range resolution profiles (HRRP) using stepped frequency waveform (SFW) processing. Conventional SFW radars sweep over the available spectrum linearly to achieve high resolution from their…

Signal Processing · Electrical Eng. & Systems 2020-04-14 Kumar Vijay Mishra , Satish Mulleti , Yonina C. Eldar

Over the past decade, learning a dictionary from input images for sparse modeling has been one of the topics which receive most research attention in image processing and compressed sensing. Most existing dictionary learning methods…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Kai Liu , Yongjian Zhao , Hua Wang

Orthogonal matching pursuit (OMP) and orthogonal least squares (OLS) are widely used for sparse signal reconstruction in under-determined linear regression problems. The performance of these compressed sensing (CS) algorithms depends…

Machine Learning · Statistics 2017-07-28 Sreejith Kallummil , Sheetal Kalyani