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Related papers: KF-CS: Compressive Sensing on Kalman Filtered Resi…

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Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In…

Information Theory · Computer Science 2013-11-08 Kumar Vijay Mishra , Myung Cho , Anton Kruger , Weiyu Xu

Compressed sensing fluorescence microscopy (CS-FM) proposes a scheme whereby less measurements are collected during sensing and reconstruction is performed to recover the image. Much work has gone into optimizing the sensing and…

Image and Video Processing · Electrical Eng. & Systems 2021-07-13 Alan Q. Wang , Aaron K. LaViolette , Leo Moon , Chris Xu , Mert R. Sabuncu

Fueled by applications in sensor networks, these years have witnessed a surge of interest in distributed estimation and filtering. A new approach is hereby proposed for the Distributed Kalman Filter (DKF) by integrating a local covariance…

Systems and Control · Computer Science 2017-03-17 Ye Yuan , Ling Shi , Jun Liu , Zhiyong Chen , Hai-Tao Zhang , Jorge Goncalves

This work studies the problem of simultaneously separating and reconstructing signals from compressively sensed linear mixtures. We assume that all source signals share a common sparse representation basis. The approach combines classical…

Information Theory · Computer Science 2015-05-30 Martin Kleinsteuber , Hao Shen

In this paper, we propose a novel Kalman Filter (KF)-based uplink (UL) joint communication and sensing (JCAS) scheme, which can significantly reduce the range and location estimation errors due to the clock asynchronism between the base…

Information Theory · Computer Science 2023-06-21 Xu Chen , Zhiyong Feng , J. Andrew Zhang , Xin Yuan , Ping Zhang

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hyunseok Park , Xilin Liu

This paper describes some new results on recursive l_1-minimizing by Kalman filtering. We consider the l_1-norm as an explicit constraint, formulated as a nonlinear observation of the state to be estimated. Interpretiing a sparse vector to…

Signal Processing · Electrical Eng. & Systems 2018-08-21 Otmar Loffeld , Dunja Alexandra Hage , Miguel Heredia Conde , Ling Wang

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

Information Theory · Computer Science 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

We propose sparse regression as an alternative to neural networks for the discovery of parsimonious constitutive models (CMs) from oscillatory shear experiments. Symmetry and frame-invariance are strictly imposed by using tensor basis…

Soft Condensed Matter · Physics 2024-08-21 Sachin Shanbhag , Gordon Erlebacher

Compressive Sensing (CS) theory states that real-world signals can often be recovered from much fewer measurements than those suggested by the Shannon sampling theorem. Nevertheless, recoverability does not only depend on the signal, but…

Information Theory · Computer Science 2017-05-10 Miguel Heredia Conde , Otmar Loffeld

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

Numerical Analysis · Computer Science 2009-01-08 Wei Dai , Olgica Milenkovic

The problem of compressing a real-valued sparse source using compressive sensing techniques is studied. The rate distortion optimality of a coding scheme in which compressively sensed signals are quantized and then reconstructed is…

Information Theory · Computer Science 2010-11-09 Rajiv Soundararajan , Sriram Vishwanath

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…

Information Theory · Computer Science 2011-07-29 Marco F. Duarte , Yonina C. Eldar

In this article, we present a structured Kalman filter associated with the transformation matrix for observable Kalman canonical decomposition from conventional Kalman filter (CKF) in order to generate a more accurate time scale. The…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Yuyue Yan , Takahiro Kawaguchi , Yuichiro Yano , Yuko Hanado , Takayuki Ishizaki

Compressive sensing (CS), acquiring and reconstructing signals below the Nyquist rate, has great potential in image and video acquisition to exploit data redundancy and greatly reduce the amount of sampled data. To further reduce the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Kosuke Iwama , Ryugo Morita , Jinjia Zhou

The potential of compressed sensing for obtaining sparse time-frequency representations for gravitational wave data analysis is illustrated by comparison with existing methods, as regards i) shedding light on the fine structure of noise…

Instrumentation and Methods for Astrophysics · Physics 2016-05-16 Paolo Addesso , Maurizio Longo , Stefano Marano , Vincenzo Matta , Maria Principe , Innocenzo M. Pinto

This paper introduces a framework for super-resolution of scalable video based on compressive sensing and sparse representation of residual frames in reconnaissance and surveillance applications. We exploit efficient compressive sampling…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Mohammad Hossein Moghaddam , Mohammad Javad Azizipour , Saeed Vahidian , Besma Smida

Manifold amount of video data gets generated every minute as we read this document, ranging from surveillance to broadcasting purposes. There are two roadblocks that restrain us from using this data as such, first being the storage which…

Computer Vision and Pattern Recognition · Computer Science 2019-07-10 Sathyaprakash Narayanan , Yeshwanth Bethi , Chetan Singh Thakur

Sparse support recovery (SSR) is an important part of the compressive sensing (CS). Most of the current SSR methods are with the full information measurements. But in practice the amplitude part of the measurements may be seriously…

Information Theory · Computer Science 2011-06-21 Yipeng Liu , Qun Wan , Fei Wen , Jia Xu , Yingning Peng

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan