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In this paper, we introduce a wideband dictionary framework for estimating sparse signals. By formulating integrated dictionary elements spanning bands of the considered parameter space, one may efficiently find and discard large parts of…

统计方法学 · 统计学 2018-08-01 Maksim Butsenko , Johan Swärd , Andreas Jakobsson

We consider the probe of astrophysical signals through radio interferometers with small field of view and baselines with non-negligible and constant component in the pointing direction. In this context, the visibilities measured essentially…

天体物理仪器与方法 · 物理学 2009-11-16 Y. Wiaux , G. Puy , Y. Boursier , P. Vandergheynst

Sparse representations using data dictionaries provide an efficient model particularly for signals that do not enjoy alternate analytic sparsifying transformations. However, solving inverse problems with sparsifying dictionaries can be…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Vishwanath Saragadam , Xin Li , Aswin Sankaranarayanan

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

计算机视觉与模式识别 · 计算机科学 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

Dimensionality reduction of ECG signals is considered within the framework of sparse representation. The approach constructs the signal model by selecting elementary components from a redundant dictionary via a greedy strategy. The proposed…

信号处理 · 电气工程与系统科学 2019-06-12 Laura Rebollo-Neira , Dana Cerna

This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

机器学习 · 统计学 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

Accurate estimates of Instrument Spectral Response Functions (ISRFs) are crucial in order to have a good characterization of high resolution spectrometers. Spectrometers are composed of different optical elements that can induce errors in…

We propose an innovative meteorological radar, which uses reduced number of spatiotemporal samples without compromising the accuracy of target information. Our approach extends recent research on compressed sensing (CS) for radar remote…

信息论 · 计算机科学 2014-06-16 Kumar Vijay Mishra , Anton Kruger , Witold F. Krajewski

In sparse recovery, the unique sparsest solution to an under-determined system of linear equations is of main interest. This scheme is commonly proposed to be applied to signal acquisition. In most cases, the signals are not sparse…

信息论 · 计算机科学 2013-07-16 Henning Zörlein , Faisal Akram , Martin Bossert

A dedicated algorithm for sparse spectral representation of music sound is presented. The goal is to enable the representation of a piece of music signal, as a linear superposition of as few spectral components as possible. A representation…

声音 · 计算机科学 2016-11-08 Laura Rebollo-Neira , Gagan Aggarwal

Cross-correlation is a popular signal processing technique used in numerous location tracking systems for obtaining reliable range information. However, its efficient design and practical implementation has not yet been achieved on mote…

其他计算机科学 · 计算机科学 2016-06-14 Prasant Misra , Wen Hu , Mingrui Yang , Marco Duarte , Sanjay Jha

We propose a compressed sampling and dictionary learning framework for fiber-optic sensing using wavelength-tunable lasers. A redundant dictionary is generated from a model for the reflected sensor signal. Imperfect prior knowledge is…

统计方法学 · 统计学 2017-06-13 Christian Weiss , Abdelhak M. Zoubir

In this paper, we investigate the use of chirp spread spectrum signaling over air-ground channels. This includes evaluation of not only the traditional linear chirp, but also of a new chirp signal format we have devised for multiple access…

信号处理 · 电气工程与系统科学 2020-03-11 Nozhan Hosseini , David W. Matolak

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

计算机视觉与模式识别 · 计算机科学 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

The purpose of sparse modelling of ECG signals is to represent an ECG record, given by sample points, as a linear combination of as few elementary components as possible. This can be achieved by creating a redundant set, called a…

数值分析 · 数学 2019-09-24 Dana Cerna , Laura Rebollo-Neira

Sparse coding, which is the decomposition of a vector using only a few basis elements, is widely used in machine learning and image processing. The basis set, also called dictionary, is learned to adapt to specific data. This approach has…

机器学习 · 计算机科学 2011-12-13 Louise Benoît , Julien Mairal , Francis Bach , Jean Ponce

The newly emerging theory of compressed sensing (CS) enables restoring a sparse signal from inadequate number of linear projections. Based on compressed sensing theory, a new algorithm of high-resolution range profiling for…

信息论 · 计算机科学 2010-11-19 Yang Hu , Yimin Liu , Huadong Meng , Xiqin Wang

Consider the problem of recovering an unknown signal from undersampled measurements, given the knowledge that the signal has a sparse representation in a specified dictionary $D$. This problem is now understood to be well-posed and…

信息论 · 计算机科学 2015-06-09 Felix Krahmer , Deanna Needell , Rachel Ward

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

Many natural signals exhibit a sparse representation, whenever a suitable describing model is given. Here, a linear generative model is considered, where many sparsity-based signal processing techniques rely on such a simplified model. As…

机器学习 · 计算机科学 2013-06-11 Mehrdad Yaghoobi , Laurent Daudet , Michael E. Davies
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