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Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via multiplicative…

信息论 · 计算机科学 2010-11-12 Nam Yul Yu

Compressive sensing (CS) has recently emerged as a framework for efficiently capturing signals that are sparse or compressible in an appropriate basis. While often motivated as an alternative to Nyquist-rate sampling, there remains a gap…

信息论 · 计算机科学 2012-03-23 Mark A. Davenport , Michael B. Wakin

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

信息论 · 计算机科学 2009-06-08 Graeme Pope

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

信息论 · 计算机科学 2016-11-17 Namrata Vaswani

This paper gives performance limits of the segmented compressive sampling (CS) which collects correlated samples. It is shown that the effect of correlation among samples for the segmented CS can be characterized by a penalty term in the…

信息论 · 计算机科学 2016-03-03 Hao Fang , Sergiy A. Vorobyov , Hai Jiang

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

信息论 · 计算机科学 2016-02-03 Yen-Huan Li , Volkan Cevher

Sparse signal recoveries from multiple measurement vectors (MMV) with joint sparsity property have many applications in signal, image, and video processing. The problem becomes much more involved when snapshots of the signal matrix are…

信息论 · 计算机科学 2021-01-25 Ningning Han , Shidong Li , Jian Lu

Compressive sensing (CS) is well-known for its unique functionalities of sensing, compressing, and security (i.e. CS measurements are equally important). However, there is a tradeoff. Improving sensing and compressing efficiency with prior…

信号处理 · 电气工程与系统科学 2020-02-19 Thuong Nguyen Canh , Byeungwoo Jeon

Beam alignment is key in enabling millimeter wave and terahertz radios to achieve their capacity. Due to the use of large arrays in these systems, the common exhaustive beam scanning results in a substantial training overhead. Prior work…

信号处理 · 电气工程与系统科学 2023-08-28 Hamed Masoumi , Michel Verhaegen , Nitin Jonathan Myers

Compressed sensing (CS) is an emerging field that has attracted considerable research interest over the past few years. Previous review articles in CS limit their scope to standard discrete-to-discrete measurement architectures using…

信息论 · 计算机科学 2011-07-29 Marco F. Duarte , Yonina C. Eldar

Parameter estimation from multiple measurement vectors (MMVs) is a fundamental problem in many signal processing applications, e.g., spectral analysis and direction-of- arrival estimation. Recently, this problem has been address using prior…

信息论 · 计算机科学 2016-06-24 Christian Steffens , Marius Pesavento , Marc E. Pfetsch

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

In this paper, we propose a novel concept for engineered molecular communication (MC) systems inspired by animal olfaction. We focus on a multi-user scenario where transmitters employ unique mixtures of different types of signaling…

信息论 · 计算机科学 2022-04-19 Vahid Jamali , Helene M. Loos , Andrea Buettner , Robert Schober , H. Vincent Poor

Optimal data detection in massive multiple-input multiple-output (MIMO) systems requires prohibitive computational complexity. A variety of detection algorithms have been proposed in the literature, offering different trade-offs between…

信号处理 · 电气工程与系统科学 2022-05-25 Duy H. N. Nguyen , Italo Atzeni , Antti Tölli , A. Lee Swindlehurst

Quantum sensors based on single Nitrogen-Vacancy (NV) defects in diamond are state-of-the-art tools for nano-scale magnetometry with precision scaling inversely with total measurement time $\sigma_{B} \propto 1/T$ (Heisenberg scaling)…

量子物理 · 物理学 2013-08-21 Graciana Puentes , Gerald Waldherr , Philipp Neumann , Jörg Wrachtrup

This work addresses the fundamental linear inverse problem in compressive sensing (CS) by introducing a new type of regularizing generative prior. Our proposed method utilizes ideas from classical dictionary-based CS and, in particular,…

机器学习 · 统计学 2024-11-15 Benedikt Böck , Sadaf Syed , Wolfgang Utschick

Compressed sensing deals with the reconstruction of sparse signals using a small number of linear measurements. One of the main challenges in compressed sensing is to find the support of a sparse signal. In the literature, several bounds on…

信息论 · 计算机科学 2009-11-26 Ali Hormati , Amin Karbasi , Soheil Mohajer , Martin Vetterli

MUltiple SIgnal Classification (MUSIC) is a well-known non-iterative location detection algorithm for small, perfectly conducting cracks in inverse scattering problems. However, when the applied wavenumbers are unknown, inaccurate locations…

数值分析 · 数学 2018-01-09 Won-Kwang Park

Compressed sensing (CS) demonstrates that sparse signals can be recovered from underdetermined linear measurements. We focus on the joint sparse recovery problem where multiple signals share the same common sparse support sets, and they are…

信息论 · 计算机科学 2011-02-17 Jongmin Kim , Woohyuk Chang , Bangchul Jung , Dror Baron , Jong Chul Ye

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath
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