Based on a large span continuous rigid frame bridge in Chongqing of China, the main pier vertical displacement and deviation, the bridge deck alignment and the expansion joint deformation are analytically researched during operation. Firstly, the monitoring content and method of the large span continuous rigid frame bridge are clearly stated. Secondly, by finite element software Midas Civil, th...

Abstract Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous for product Hilbert spaces. includes, example, the consistency property, i.e. preservation frame property under product, description canonical dual tensors by on space level. show full characterization all systems a given ...

Continuous wavelets are often studied in the general framework of representation theory of square-integrable representations, or by using convolution relations and Fourier transforms. We consider the well-known problem whether these continuous wavelets can be discretized to yield wavelet frames. In this paper we us Calderón-Zygmund singular integral operators and atomic decompositions on spaces...

Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. In this article we discuss the construction of frames for L(R) using the action of closed subgroups H ⊂ GL(n,R) such that H has an open orbit O in R under the action (h, ω) 7→ (h) (ω). If H has the form ANR, where A is simply connected and abelian, N contains a co-compact discr...

Two standard tools for signal analysis are the short{time Fourier transform and the continuous wavelet transform. These tools arise as matrix coeecients of square integrable representations of the Heisenberg and aane groups respectively, and discrete frame decompositions of L 2 arise from approximations of corresponding reproducing formulae. Here we study two groups, the so-called aane Weyl-Hei...

Abstract Objects moving at high speed along complex trajectories often appear in videos, especially videos of sports. Such objects travel a considerable distance during exposure time single frame, and therefore, their position the frame is not well defined. They as semi-transparent streaks due to motion blur cannot be reliably tracked by general trackers. We propose novel approach called Tracki...

Recently, a fast and simple method for separation of the transient and steady-state components of a music signal was proposed in [4]. The technique involves the application of two median filters to the spectrogram: one along the frequency bins to eliminate steady-state components, and the other along the time frames to eliminate transient components. In the present paper, a modification of the ...