We develop a natural generalization of vector-valued frame theory, we term operator-valued frame theory, using operator-algebraic methods. This extends work of the second author and D. Han which can be viewed as the multiplicity one case and extends to higher multiplicity their dilation approach. We prove several results for operator-valued frames concerning duality, disjointeness, complementar...

We develop a natural generalization of vector-valued frame theory, which we term operator-valued frame theory, using operator-algebraic methods. This extends work of the second author and D. Han which can be viewed as the multiplicity one case and extends to higher multiplicity their dilation approach. We prove several results for operator-valued frames concerning duality, disjointedness, compl...

In this paper, we propose an efficient hybrid Particle Filter (PF) algorithm for video tracking by employing a genetic algorithm to solve the sample impoverishment problem. In the presented method, the object to be tracked is selected by a rectangular window inside which a few numbers of particles are scattered. The particles’ weights are calculated based on the similarity between feature vecto...

in this paper we introduce and study besselian $g$-frames. we show that the kernel of associated synthesis operator for a besselian $g$-frame is finite dimensional. we also introduce $alpha$-dual of a $g$-frame and we get some results when we use the hilbert-schmidt norm for the members of a $g$-frame in a finite dimensional hilbert space.

In this paper we provide a construction of multiscale systems on a bounded domain Ω ⊂ R coined boundary shearlet systems, which satisfy several properties advantageous for applications to imaging science and numerical analysis of partial differential equations. More precisely, we construct a boundary shearlet system that forms a frame for L(Ω) with controllable frame bounds and admits optimally...

A Wilson orthonormal basis was constructed in 1991 by I. Daubechies, S. Jaffard and J.L. Journé from Gabor tight frame elements, when the redundancy of the Gabor system is 2. In 1994 P. Auscher gave a characterization of the atoms for which the Wilson system is an orthonormal basis. Afterwards, K. Gröchenig posed a question whether the construction of an orthonormal Wilson basis is possible for...

One severe problem in frame-based description languages in that computing subsumytion in computationally intractable for languages of reasonable expressive power. Several partial solutions to this problem are used in knowledge representation systems that incorporate such languages, but none of these solutions are satisfactory if the system is to be of general use in representing knowledge. A ne...

A tandem pair of nearly identical genes from Serpulina hyodysenteriae (B204) were cloned and sequenced. The full open reading frame of one gene and the partial open reading frame of the neighboring gene appear to encode secreted proteins which are homologous to, yet distinct from, the 39-kDa extracytoplasmic protein purified from the membrane fraction of S. hyodysenteriae. We have designated th...

This paper discusses an additional signal processing procedure for use in a recently proposed frequency-domain additive synthesizer 1, 2]. The overlap-add approach used in the frequency-domain synthesis can result in amplitude modulation in the overlap region between successive time frames if the partial frequencies in those frames are signiicantly diier-ent. A new method is proposed in which s...

The MPEG-4 standard encodes a video stream in 3 different frames, I, P and B, where the P and B frames depend on the I frame. Loosing an I frame is especially bad. In this paper we exploit the Partial Reliability features of the SCTP transport protocol to selectively retransmit I frames in presence of congestion, obtaining a better quality of the decoded stream.