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In this paper, we present coherence-based performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two…

Statistics Theory · Mathematics 2012-09-28 Yuejie Chi , Robert Calderbank

We study distributed schemes for high-dimensional sparse linear regression, based on orthogonal matching pursuit (OMP). Such schemes are particularly suited for settings where a central fusion center is connected to end machines, that have…

Machine Learning · Statistics 2023-11-01 Chen Amiraz , Robert Krauthgamer , Boaz Nadler

Channel estimation at millimeter wave (mmWave) is challenging when large antenna arrays are used. Prior work has leveraged the sparse nature of mmWave channels via compressed sensing based algorithms for channel estimation. Most of these…

Information Theory · Computer Science 2018-06-19 Nitin Jonathan Myers , Robert W. Heath

Orthogonal Matching Pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used for a very straightforward analysis of OMP. Our main…

Numerical Analysis · Mathematics 2009-09-02 Mark A. Davenport , Michael B. Wakin

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

Inspired by providing reliable communications for high-mobility scenarios, in this letter, we investigate the channel estimation and signal detection in integrated sensing and communication~(ISAC) systems based on the orthogonal…

Signal Processing · Electrical Eng. & Systems 2024-06-04 Dezhi Wang , Chongwen Huang , Lei Liu , Xiaoming Chen , Wei Wang , Zhaoyang Zhang , Chau Yuen , Mérouane Debbah

Multiple-input multiple-output (MIMO) systems are well suited for millimeter-wave (mmWave) wireless communications where large antenna arrays can be integrated in small form factors due to tiny wavelengths, thereby providing high array…

Information Theory · Computer Science 2017-04-03 Shu Sun , Theodore S. Rappaport

Wideband wireless channel is a time dispersive channel and becomes strongly frequency-selective. However, in most cases, the channel is composed of a few dominant taps and a large part of taps is approximately zero or zero. To exploit the…

Information Theory · Computer Science 2010-05-14 Guan Gui , Qun Wan , Wei Peng , Fumiyuki Adachi

Cluster-sparse channels often exist in frequencyselective fading broadband communication systems. The main reason is received scattered waveform exhibits cluster structure which is caused by a few reflectors near the receiver. Conventional…

Information Theory · Computer Science 2014-07-24 Guan Gui , Li Xu , Lin Shan

Initial access at millimeter wave frequencies is a challenging problem due to hardware non-idealities and low SNR measurements prior to beamforming. Prior work has exploited the observation that mmWave MIMO channels are sparse in the…

Information Theory · Computer Science 2018-06-06 Nitin Jonathan Myers , Robert W. Heath

Compressed sensing has been employed to reduce the pilot overhead for channel estimation in wireless communication systems. Particularly, structured turbo compressed sensing (STCS) provides a generic framework for structured sparse signal…

Information Theory · Computer Science 2018-11-09 Xiaoyan Kuai , Lei Chen , Xiaojun Yuan , An Liu

Millimeter wave multiple-input multiple-output (MIMO) communication systems must operate over sparse wireless links and will require large antenna arrays to provide high throughput. To achieve sufficient array gains, these systems must…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Wei Zhang , Taejoon Kim , David J. Love

Orthogonal frequency division multiplexing (OFDM) has been widely used in communication systems operating in the millimeter wave (mmWave) band to combat frequency-selective fading and achieve multi-Gbps transmissions, such as IEEE 802.15.3c…

Information Theory · Computer Science 2017-09-06 Hanqing Wang , Chao-Kai Wen , Shi Jin

Millimeter (mm) wave massive MIMO has the potential for delivering orders of magnitude increases in mobile data rates, with compact antenna arrays providing narrow steerable beams for unprecedented levels of spatial reuse. A fundamental…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Maryam Eslami Rasekh , Upamanyu Madhow

In this paper, adaptive pilot beam sequence design for channel estimation in large millimeter-wave (mmWave) MIMO systems is considered. By exploiting the sparsity of mmWave MIMO channels with the virtual channel representation and imposing…

Information Theory · Computer Science 2016-11-15 Junyeong Seo , Youngchul Sung , Gilwon Lee , Donggun Kim

State-of-the-art algorithms for sparse subspace clustering perform spectral clustering on a similarity matrix typically obtained by representing each data point as a sparse combination of other points using either basis pursuit (BP) or…

Machine Learning · Computer Science 2017-11-02 Abolfazl Hashemi , Haris Vikalo

Support recovery of sparse signals from noisy measurements with orthogonal matching pursuit (OMP) has been extensively studied in the literature. In this paper, we show that for any $K$-sparse signal $\x$, if the sensing matrix $\A$…

Information Theory · Computer Science 2018-07-13 JInming Wen , Zhengchun Zhou , Jian Wang , Xiaohu Tang , Qun Mo

Sparse signal recovery deals with finding the sparsest solution of an under-determined linear system $\vx = \mQ\vs$. In this paper, we propose a novel greedy approach to addressing the challenges from such a problem. Such an approach is…

Information Theory · Computer Science 2026-04-09 Gang Li , Qiuwei Li , Shuang Li , Wu Angela Li

Greedy algorithms for minimizing L0-norm of sparse decomposition have profound application impact on many signal processing problems. In the sparse coding setup, given the observations $\mathrm{y}$ and the redundant dictionary…

Numerical Analysis · Computer Science 2015-02-13 Yuanyi Xue , Yao Wang

In a multi-user millimeter (mm) wave communication system, we consider the problem of estimating the channel response between the central node (base station) and each of the user equipments (UE). We propose three different strategies: 1)…

Information Theory · Computer Science 2017-03-17 Manoj A , Arun Pachai Kannu
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