We will discuss some of the key mathematical ideas behind compressive sensing, as well as its implications to other fields: numerical analysis, information theory, theoretical computer science, and engineering.Olga V. HoltzO. Holtz. Compressive sensing: a paradigm shift in signal processing. arXiv ...
Tao(2006年菲尔兹奖获得者,2008年被评为世界上最聪明的科学家)等人提出了一种新的信息获取指导理论,即,压缩感知或压缩传感(Compressive Sensing(CS) or Compressed Sensing、Compressed Sampling)。该理论指出:对可压缩的信号可通过远低于Nyquist标准的方式进行采样数据,仍能够精确地恢复出原始信号。该理论一经提出,就...
Compressive Sensing In subject area: Computer Science Compressive sensing refers to an efficient signal processing technique that exploits the sparsity of a signal vector to recover it from far fewer samples than the Nyquist limit implies. AI generated definition based on: Computer Networks, 2021 About...
本文综述了压缩采样理论,也称为压缩感知或CS(compressed sensing or CS),这是一种与数据获取中的常识相悖的新型感测/采样范式。CS理论主张,可以从远少于传统方法使用的样本或测量中恢复某些信号和图像。为了实现这一点,CS依赖于两个原则:稀疏性(sparsity)和非相干性(incoherence)。
我的很多研究也在关注这一块儿,并且我认为,compressed sensing never dies, it just becomes more flexible。比如我博士期间的论文,主要就是关注blind compressed sensing,也就是认为signal prior不再是事先可知(blind),而是通过数据驱动的方式去获取。这样的先验可以对于你将要处理的数据最优化,从而达到更加好的信号...
But in some practical applications (such as image and video processing systems), an increased sampling frequency will substantially increase the data storage and transmission costs. Different from the traditional signal acquisition process, compressive sensing, which is a new theory that captures and ...
The significance of the measurement matrix in compressive sensing is two-fold. First, the measurement matrix determines whether the sparsest signal or the solution of (4) is equal to the original signal. In [11], it is claimed that in noiseless compressive sensing δ2k<1 guarantees that the...
The sparse property of the signal to be processed is very important and directly affects the efficiency of compressive sensing. A signal pre-processing method suitable for compressive sensing is given, which is helpful to effective sensing and accurate reconstruction. Under the condition that the spar...
(CompressiveSensing,CS),它是针对稀疏或者可压缩信号,在采样的同时即可对信号数据进行适当压缩的新理论.近年来,压缩传感理论成为信号采样及图像处理领域最新、最热点的问题之一.它主要包括三个方面:稀疏表示矩阵,非相干测量矩阵以及重建算法.本文介绍了压缩传感理论的模型,以及压缩传感的主要重建算法,并将实现方法进行了...
biomedical signal processingelectrocardiographypursuit algorithmssignal processing algorithmsThe paper investigates the possibility of using compressive sensing techniques for the acquisition and reconstruction of EEG signals containing the evoked potential P300. A method of EEG compressive sensing based on the ...