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We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N…

光学 · 物理学 2010-06-15 Ori Katz , Jonathan M. Levitt , Yaron Silberberg

We examine the use of a structured thresholding algorithm for sparse underwater channel estimation using compressed sensing. This method shows some improvements over standard algorithms for sparse channel estimation such as matching…

应用统计 · 统计学 2010-02-16 Sushil Subramanian

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…

天体物理仪器与方法 · 物理学 2016-05-16 Paolo Addesso , Maurizio Longo , Stefano Marano , Vincenzo Matta , Maria Principe , Innocenzo M. Pinto

We propose and analyze an online algorithm for reconstructing a sequence of signals from a limited number of linear measurements. The signals are assumed sparse, with unknown support, and evolve over time according to a generic nonlinear…

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

最优化与控制 · 数学 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

信息论 · 计算机科学 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

This paper presents a novel power spectral density estimation technique for band-limited, wide-sense stationary signals from sub-Nyquist sampled data. The technique employs multi-coset sampling and incorporates the advantages of compressed…

信息论 · 计算机科学 2012-05-18 Michael A. Lexa , Mike E. Davies , John S. Thompson

In the compressive phase retrieval problem, or phaseless compressed sensing, or compressed sensing from intensity only measurements, the goal is to reconstruct a sparse or approximately $k$-sparse vector $x \in \mathbb{R}^n$ given access to…

数据结构与算法 · 计算机科学 2020-03-03 Yi Li , Vasileios Nakos

Quantum waveform estimation, in which quantum sensors sample entire time series, promises to revolutionize the sensing of weak and stochastic signals, such as the biomagnetic impulses emitted by firing neurons. For long duration signals…

A method to improve l1 performance of the CS (Compressive Sampling) for A-scan SFCW-GPR (Stepped Frequency Continuous Wave-Ground Penetrating Radar) signals with known spectral energy density is proposed. Instead of random sampling, the…

信息论 · 计算机科学 2013-11-05 Andriyan Bayu Suksmono

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

信号处理 · 电气工程与系统科学 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

信息论 · 计算机科学 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

The performance of existing approaches to the recovery of frequency-sparse signals from compressed measurements is limited by the coherence of required sparsity dictionaries and the discretization of frequency parameter space. In this…

信息论 · 计算机科学 2014-07-15 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Zenghui Zhang , Peilin Liu , Wenxian Yu

Periodic nonuniform sampling is a known method to sample spectrally sparse signals below the Nyquist rate. This strategy relies on the implicit assumption that the individual samplers are exposed to the entire frequency range. This…

信息论 · 计算机科学 2009-01-27 Moshe Mishali , Yonina C. Eldar , Joel A. Tropp

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

信息论 · 计算机科学 2014-02-04 Yuejie Chi

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

应用统计 · 统计学 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

信息论 · 计算机科学 2014-08-27 Peter Jung , Philipp Walk

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

信息论 · 计算机科学 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

We present a novel method for the classification and reconstruction of time dependent, high-dimensional data using sparse measurements, and apply it to the flow around a cylinder. Assuming the data lies near a low dimensional manifold…

动力系统 · 数学 2015-06-03 Ido Bright , Guang Lin , J. Nathan Kutz

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

信息论 · 计算机科学 2016-11-18 Ying Li , Kun Xie , Xin Wang