This paper is focus on to design a sampling system with minimum sampling rate for signals in the shift invariant Hilbert space. To achieve this goal, we propose a method to calculate the Rate of Innovation (RI) of signals in the Hilbert space. The RI is then used to identify a suitable sampling kernel as well as the sampling rate for a specific signal. We show that the RI of the kernel should b...

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Xiao C Zhang1*, Scott Pasichow1, Melissa Bowler2 and David Lindquist3 1Alpert Medical School of Brown University, Emergency Medicine Residency, Providence, RI, USA 2Providence Improv Guild, Providence, RI, USA 3Alpert Medical School of Brown University, Department of Emergency Medicine, Providence, RI,USA *Corresponding author: Xiao C Zhang, Alpert Medical School of Brown University, Emergency ...

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vertebrobasilar insufficiency is the cause of cerebrovascular accidents in 20% of cases. there are few reports regarding spectral doppler indices (sdis) of vertebral arteries (vas) normal blood flow. the objective of this study was to provide basic reference data about sdis of vas normal blood flow separately and in comparison with internal carotid arteries (icas) and common carotid arteries (c...

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The response of a novel long-period fiber grating (LPFG) with a period of 180 µm to a surrounding refractive index (RI) was investigated. The results displayed that, with the increase in RI of the surrounding media of cladding glass in the grating region, the resonant peak located at 1336.4 nm in the transmission spectrum gradually shifts towards a shorter wavelength, while the resonant peak lo...