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Titlebook: Compressed Sensing & Sparse Filtering; Avishy Y. Carmi,Lyudmila Mihaylova,Simon J. Godsil Book 2014 Springer-Verlag Berlin Heidelberg 2014

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发表于 2025-3-21 18:02:01 | 显示全部楼层 |阅读模式
书目名称Compressed Sensing & Sparse Filtering
编辑Avishy Y. Carmi,Lyudmila Mihaylova,Simon J. Godsil
视频video
概述Presents fundamental concepts, methods and algorithms able to cope with undersampled data.Introduces compressive sampling, called also compressed sensing..Written by well-known experts in the field.In
丛书名称Signals and Communication Technology
图书封面Titlebook: Compressed Sensing & Sparse Filtering;  Avishy Y. Carmi,Lyudmila Mihaylova,Simon J. Godsil Book 2014 Springer-Verlag Berlin Heidelberg 2014
描述.This book is aimed at presenting concepts, methods and algorithms ableto cope with undersampled and limited data. One such trend that recently gained popularity and to some extent revolutionised signal processing is compressed sensing. Compressed sensing builds upon the observation that many signals in nature are nearly sparse (or compressible, as they are normally referred to) in some domain, and consequently they can be reconstructed to within high accuracy from far fewer observations than traditionally held to be necessary.. Apart from compressed sensing this book contains other related approaches. Each methodology has its own formalities for dealing with such problems. As an example, in the Bayesian approach, sparseness promoting priors such as Laplace and Cauchy are normally used for penalising improbable model variables, thus promoting low complexity solutions. Compressed sensing techniques and homotopy-type solutions, such as the LASSO, utilise l1-norm penalties for obtaining sparse solutions using fewer observations thanconventionally needed. The book emphasizes on the role of sparsity as a machinery for promoting low complexity representations and likewise its connections
出版日期Book 2014
关键词Bayesian approach; L1-norm penalties; compressive sampling; compressive sensing; homotopy-type solutions
版次1
doihttps://doi.org/10.1007/978-3-642-38398-4
isbn_softcover978-3-662-50894-7
isbn_ebook978-3-642-38398-4Series ISSN 1860-4862 Series E-ISSN 1860-4870
issn_series 1860-4862
copyrightSpringer-Verlag Berlin Heidelberg 2014
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发表于 2025-3-21 21:50:57 | 显示全部楼层
The Geometry of Compressed Sensing,instead of vector data, in many problems, data is more naturally expressed in matrix form (for example a video is often best represented in a pixel by time matrix). A powerful constraint on matrices are constraints on the matrix rank. For example, in low-rank matrix recovery, the goal is to reconstr
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Nonnegative Tensor Decomposition,mension less using the so-called t-product. A demonstration on an application in facial recognition shows the potential promise of the overall approach. We discuss a number of algorithmic options for solving the resulting optimization problems, and modification of such algorithms for increasing the
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Sparse Nonlinear MIMO Filtering and Identification,acing emphasis on minimal input resources and blind identification whereby only output samples are available plus a–priori information on input characteristics. Based on this taxonomy a variety of algorithms, existing and new, are studied and evaluated by simulations.
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Sparsity and Compressed Sensing in Mono-Static and Multi-Static Radar Imaging,terns reflect spectral and spatial diversity trade-offs. Characterization of the expected quality of the reconstructed images in these scenarios prior to actual data collection is a problem of central interest in task planning for multi-mode radars. Compressed sensing theory argues that the mutual c
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Konzepte zur Erfolgs- und Risikoanalyse,d as .-regularized . regression. We show that, under standard restricted isometry property (RIP) assumptions on the design matrix, .-minimization can provide stable recovery of a sparse signal in presence of exponential-family noise, and state some sufficient conditions on the noise distribution tha
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