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Sparse approximation is the problem to find the sparsest linear combination for a signal from a redundant dictionary, which is widely applied in signal processing and compressed sensing. In this project, I manage to implement the Orthogonal…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Han Wang

In this paper we present a new coherence-based performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. An upper bound for the probability of correctly identifying the support of a sparse signal with additive white…

Information Theory · Computer Science 2016-10-25 Mohammad Emadi , Ehsan Miandji , Jonas Unger , Ehsan Afshari

This paper considers a simple on-off random multiple access channel, where n users communicate simultaneously to a single receiver over m degrees of freedom. Each user transmits with probability lambda, where typically lambda n < m << n,…

Information Theory · Computer Science 2009-03-09 Alyson K. Fletcher , Sundeep Rangan , Vivek K Goyal

Unions of subspaces provide a powerful generalization to linear subspace models for collections of high-dimensional data. To learn a union of subspaces from a collection of data, sets of signals in the collection that belong to the same…

Machine Learning · Computer Science 2016-10-28 Eva L. Dyer , Aswin C. Sankaranarayanan , Richard G. Baraniuk

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

In this paper, we consider recovery of jointly sparse multichannel signals from incomplete measurements. Several approaches have been developed to recover the unknown sparse vectors from the given observations, including thresholding,…

Information Theory · Computer Science 2009-04-06 Yonina C. Eldar , Holger Rauhut

In communication systems, efficient use of the spectrum is an indispensable concern. Recently the use of compressed sensing for the purpose of estimating Orthogonal Frequency Division Multiplexing (OFDM) sparse multipath channels has been…

Information Theory · Computer Science 2015-05-28 Pooria Pakrooh , Arash Amini , Farrokh Marvasti

Sparse data approximation has become a popular research topic in signal processing. However, in most cases only a single measurement vector (SMV) is considered. In applications, the multiple measurement vector (MMV) case is more usual,…

Numerical Analysis · Mathematics 2017-05-24 Florian Boßmann

In this article, a fractional-norm constrained blind adaptive algorithm is presented for sparse channel equalization. In essence, the algorithm improves on the minimization of the constant modulus (CM) criteria by adding a sparsity inducing…

Information Theory · Computer Science 2017-08-09 Shafayat Abrar

In this paper, channel estimation and data detection for multihop relaying orthogonal frequency division multiplexing (OFDM) system is investigated under time-varying channel. Different from previous works, which highly depend on the…

Information Theory · Computer Science 2012-05-25 Rui Min , Yik-Chung Wu

Maximum Likelihood (ML) algorithms, for the joint estimation of synchronization impairments and channel in Multiple Input Multiple Output-Orthogonal Frequency Division Multiplexing (MIMO-OFDM) system, are investigated in this work. A system…

Information Theory · Computer Science 2012-10-30 Renu Jose , K. V. S. Hari

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

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

The orthogonal multi-matching pursuit (OMMP) is a natural extension of orthogonal matching pursuit (OMP). We denote the OMMP with the parameter $M$ as OMMP(M) where $M\geq 1$ is an integer. The main difference between OMP and OMMP(M) is…

Information Theory · Computer Science 2013-07-18 Zhiqiang Xu

This letter proposes a parametric sparse multiple input multiple output (MIMO)-OFDM channel estimation scheme based on the finite rate of innovation (FRI) theory, whereby super-resolution estimates of path delays with arbitrary values can…

Information Theory · Computer Science 2015-07-21 Zhen Gao , Linglong Dai , Zhaohua Lu , Chau Yuen , Zhaocheng Wang

In this paper, we introduce a novel algorithm named JS-gOMP, which enhances the generalized Orthogonal Matching Pursuit (gOMP) algorithm for improved noise robustness in sparse signal processing. The JS-gOMP algorithm uniquely incorporates…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Debraj Banerjee , Amitava Chatterjee

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

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

Several exact recovery criteria (ERC) ensuring that orthogonal matching pursuit (OMP) identifies the correct support of sparse signals have been developed in the last few years. These ERC rely on the restricted isometry property (RIP), the…

Information Theory · Computer Science 2015-12-16 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

Existing methods for sparse channel estimation typically provide an estimate computed as the solution maximizing an objective function defined as the sum of the log-likelihood function and a penalization term proportional to the l1-norm of…

Machine Learning · Statistics 2012-04-04 Niels Lovmand Pedersen , Carles Navarro Manchón , Dmitriy Shutin , Bernard Henri Fleury