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Compressive sensing: To compress or not to compress
2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 2011In this paper, we consider the compressive sensing scheme from the information theory point of view and derive the lower bound of the probability of error for CS when length N of the information vector is large. The result has been shown that, for an i.i.d.
Qilian Liang, Davis Kirachaiwanich
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Scalable Convolutional Neural Network for Image Compressed Sensing
Computer Vision and Pattern Recognition, 2019Recently, deep learning based image Compressed Sensing (CS) methods have been proposed and demonstrated superior reconstruction quality with low computational complexity.
Wuzhen Shi+3 more
semanticscholar +1 more source
IEEE Transactions on Image Processing, 2012
Compressive sensing (CS) is an emerging approach for the acquisition of signals having a sparse or compressible representation in some basis. While the CS literature has mostly focused on problems involving 1-D signals and 2-D images, many important applications involve multidimensional signals; the construction of sparsifying bases and measurement ...
Marco F. Duarte, Richard G. Baraniuk
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Compressive sensing (CS) is an emerging approach for the acquisition of signals having a sparse or compressible representation in some basis. While the CS literature has mostly focused on problems involving 1-D signals and 2-D images, many important applications involve multidimensional signals; the construction of sparsifying bases and measurement ...
Marco F. Duarte, Richard G. Baraniuk
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In Situ Compressive Sensing [PDF]
Compressive sensing (CS) is a framework that exploits the compressible character of most natural signals, allowing the accurate measurement of an m-dimensional real signal u in terms of n«m real measurements v. The CS measurements may be represented in terms of an n×m matrix that defines the linear relationship between v and u.
Lawrence Carin, Ya Xue, Dehong Liu
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Compressed sensing radar [PDF]
A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming that the number of targets K is small (i.e. KLtN2), then we can transmit a sufficiently ldquoincoherentrdquo pulse and employ the techniques of compressed sensing to reconstruct the target scene.
M.A. Herman, Thomas Strohmer
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Deep Convolutional Compressed Sensing for LiDAR Depth Completion
Asian Conference on Computer Vision, 2018In this paper we consider the problem of estimating a dense depth map from a set of sparse LiDAR points. We use techniques from compressed sensing and the recently developed Alternating Direction Neural Networks (ADNNs) to create a deep recurrent auto ...
Nathaniel Chodosh+2 more
semanticscholar +1 more source
Cosparsity in Compressed Sensing
2015Analysis l1-recovery is a strategy of acquiring a signal, that is sparse in some transform domain, from incomplete observations. In this chapter we give an overview of the analysis sparsity model and present theoretical conditions that guarantee successful nonuniform and uniform recovery of signals from noisy measurements.
Maryia Kabanava, Holger Rauhut
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Compressed sensing of compressible signals
2017 IEEE International Symposium on Information Theory (ISIT), 2017A novel low-complexity robust-to-noise iterative algorithm named compression-based gradient descent (C-GD) algorithm is proposed. C-GD is a generic compressed sensing recovery algorithm, that at its core, employs compression codes, such as JPEG2000 and MPEG4.
Sajjad Beygi+3 more
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Deep residual learning for compressed sensing MRI
IEEE International Symposium on Biomedical Imaging, 2017Compressed sensing (CS) enables significant reduction of MR acquisition time with performance guarantee. However, computational complexity of CS is usually expensive.
Dongwook Lee, J. Yoo, J. C. Ye
semanticscholar +1 more source
Accelerating SENSE using compressed sensing
Magnetic Resonance in Medicine, 2009AbstractBoth parallel MRI and compressed sensing (CS) are emerging techniques to accelerate conventional MRI by reducing the number of acquired data. The combination of parallel MRI and CS for further acceleration is of great interest. In this paper, we propose a novel method to combine sensitivity encoding (SENSE), one of the standard methods for ...
Bo Liu+4 more
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