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相关论文: Structured Compressed Sensing: From Theory to Appl…

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We consider the problem of recursively and causally reconstructing time sequences of sparse signals (with unknown and time-varying sparsity patterns) from a limited number of noisy linear measurements. The sparsity pattern is assumed to…

信息论 · 计算机科学 2010-07-28 Namrata Vaswani

Recent breakthrough results in compressive sensing (CS) have established that many high dimensional signals can be accurately recovered from a relatively small number of non-adaptive linear observations, provided that the signals possess a…

信息论 · 计算机科学 2013-10-17 Akshay Soni , Jarvis Haupt

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

泛函分析 · 数学 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

信息论 · 计算机科学 2014-02-25 Yuli Sun , Jinxu Tao

The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity. The…

最优化与控制 · 数学 2018-12-31 Jan Kuske , Stefania Petra

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

机器学习 · 计算机科学 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

统计力学 · 物理学 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

信息论 · 计算机科学 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

The compressive sensing (CS) scheme exploits much fewer measurements than suggested by the Nyquist-Shannon sampling theorem to accurately reconstruct images, which has attracted considerable attention in the computational imaging community.…

图像与视频处理 · 电气工程与系统科学 2022-10-26 Zhiyuan Zha , Bihan Wen , Xin Yuan , Saiprasad Ravishankar , Jiantao Zhou , Ce Zhu

Based on the maximum likelihood estimation principle, we derive a collaborative estimation framework that fuses several different estimators and yields a better estimate. Applying it to compressive sensing (CS), we propose a collaborative…

信息论 · 计算机科学 2018-04-20 Zhihui Zhu , Gang Li , Jiajun Ding , Qiuwei Li , Xiongxiong He

An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

信息论 · 计算机科学 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

信息论 · 计算机科学 2010-01-26 Galen Reeves , Michael Gastpar

Blind Compressed Sensing (BCS) is an extension of Compressed Sensing (CS) where the optimal sparsifying dictionary is assumed to be unknown and subject to estimation (in addition to the CS sparse coefficients). Since the emergence of BCS,…

信息论 · 计算机科学 2015-08-11 Mohammad Aghagolzadeh , Hayder Radha

The task of compressed sensing is to recover a sparse vector from a small number of linear and non-adaptive measurements, and the problem of finding a suitable measurement matrix is very important in this field. While most recent works…

信息论 · 计算机科学 2012-12-18 Yi-Zheng Fan , Tao Huang , Ming Zhu

The Herschel Space Observatory of ESA was launched in May 2009 and is in operation since. From its distant orbit around L2 it needs to transmit a huge quantity of information through a very limited bandwidth. This is especially true for the…

天体物理仪器与方法 · 物理学 2015-05-20 Nicolas Barbey , Marc Sauvage , Jean-Luc Starck , Roland Ottensamer , Pierre Chanial

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

数值分析 · 数学 2024-06-25 Truman Hickok , Sriram Nagaraj

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

其他计算机科学 · 计算机科学 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

Recent research advances have revealed the computational secrecy of the compressed sensing (CS) paradigm. Perfect secrecy can also be achieved by normalizing the CS measurement vector. However, these findings are established on real…

密码学与安全 · 计算机科学 2014-11-25 Leo Yu Zhang , Kwok-Wo Wong , Yushu Zhang , Qiuzhen Lin

The phase transition is a performance measure of the sparsity-undersampling tradeoff in compressed sensing (CS). This letter reports our first observation and evaluation of an empirical phase transition of the $\ell_1$ minimization approach…

信息论 · 计算机科学 2015-05-30 Zai Yang , Cishen Zhang , Lihua Xie

In many practical settings one can sequentially and adaptively guide the collection of future data, based on information extracted from data collected previously. These sequential data collection procedures are known by different names,…

统计理论 · 数学 2013-11-28 Ervin Tánczos , Rui M. Castro