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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

In the linear minimum mean square error (LMMSE) estimation for orthogonal frequency division multiplexing (OFDM) systems, the problem about the determination of the algorithm's parameters, especially those related with channel frequency…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Kai Mei , Jun Liu , Xiaoran Liu , Jun Xiong , Xiaoying Zhang , Jibo Wei

Classical linear statistical models, like the first-order auto-regressive (AR) model, are commonly used as channel model in high-mobility scenarios. However, compared to sub-6G, the effect of Doppler frequency shifts is more significant at…

Information Theory · Computer Science 2024-08-28 Ruizhe Wang , Hong Ren , Cunhua Pan , Gui Zhou , Ruisong Weng , Jiangzhou Wang

The orthogonal matching pursuit (OMP) is one of the mainstream algorithms for sparse data reconstruction or approximation. It acts as a driving force for the development of several other greedy methods for sparse data reconstruction, and it…

Information Theory · Computer Science 2023-03-31 Yun-Bin Zhao , Zhi-Quan Luo

In this work, we address the problem of estimating sparse communication channels in OFDM systems in the presence of carrier frequency offset (CFO) and unknown noise variance. To this end, we consider a convex optimization problem, including…

Information Theory · Computer Science 2013-11-15 Rodrigo Carvajal , Boris I. Godoy , Juan C. Agüero

We study the problem of recovering the sparsity pattern of block-sparse signals from noise-corrupted measurements. A simple, efficient recovery method, namely, a block-version of the orthogonal matching pursuit (OMP) method, is considered…

Information Theory · Computer Science 2011-09-27 Jun Fang , Hongbin Li

We consider the problem of channel estimation for millimeter wave (mmWave) systems, where, to minimize the hardware complexity and power consumption, an analog transmit beamforming and receive combining structure with only one radio…

Information Theory · Computer Science 2017-05-09 Xingjian Li , Jun Fang , Hongbin Li , Pu Wang

Exact recovery of $K$-sparse signals $x \in \mathbb{R}^{n}$ from linear measurements $y=Ax$, where $A\in \mathbb{R}^{m\times n}$ is a sensing matrix, arises from many applications. The orthogonal matching pursuit (OMP) algorithm is widely…

Information Theory · Computer Science 2020-08-13 Jinming Wen , Rui Zhang , Wei Yu

Given the high degree of computational complexity of the channel estimation technique based on the conventional one-dimensional (1-D) compressive sensing (CS) framework employed in the hybrid beamforming architecture, this study proposes…

Signal Processing · Electrical Eng. & Systems 2022-07-29 Songjie Yang , Chenfei Xie , Dongli Wang , Zhongpei Zhang

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

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

This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level $O(\bar{k})$, then OMP can recover a $\bar{k}$-sparse signal…

Information Theory · Computer Science 2011-06-06 Tong Zhang

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

Orthogonal matching pursuit (OMP) is a widely used compressive sensing (CS) algorithm for recovering sparse signals in noisy linear regression models. The performance of OMP depends on its stopping criteria (SC). SC for OMP discussed in…

Machine Learning · Statistics 2017-03-16 Sreejith Kallummil , Sheetal Kalyani

Millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems typically employ hybrid mixed signal processing to avoid expensive hardware and high training overheads. {However, the lack of fully digital beamforming at…

Information Theory · Computer Science 2021-02-23 Asmaa Abdallah , Abdulkadir Celik , Mohammad M. Mansour , Ahmed M. Eltawil

This paper investigates the problem of hybrid precoder and combiner design for multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems operating in millimeter-wave (mmWave) bands. We propose a novel…

Information Theory · Computer Science 2017-04-27 Wenfei Liu , Ming Li , Xiaowen Tian , Zihuan Wang , Qian Liu

In this paper, we propose a new orthogonal matching pursuit algorithm called quasi-OMP algorithm which greatly enhances the performance of classical orthogonal matching pursuit (OMP) algorithm, at some cost of computational complexity. We…

Numerical Analysis · Mathematics 2020-07-21 Ming-Jun Lai , Zhaiming Shen

In this paper, we propose a novel channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing algorithm (SMP), which is of special interest for Millimeter Wave (mmWave) systems, since this algorithm…

Information Theory · Computer Science 2016-09-13 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

The orthogonal delay-Doppler division multiplexing (ODDM) modulation is a recently proposed multi-carrier modulation that features a realizable pulse orthogonal with respect to the delay-Doppler (DD) plane's fine resolutions. In this paper,…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Kehan Huang , Min Qiu , Jun Tong , Jinhong Yuan , Hai Lin

Phase-noise (PN) estimation and compensation are crucial in millimeter-wave (mmWave) communication systems to achieve high reliability. The PN estimation, however, suffers from high computational complexity due to its fundamental…

Information Theory · Computer Science 2021-09-29 MinKeun Chung , Liang Liu , Ove Edfors