1,416 research outputs found
Global Modeling and Prediction of Computer Network Traffic
We develop a probabilistic framework for global modeling of the traffic over
a computer network. This model integrates existing single-link (-flow) traffic
models with the routing over the network to capture the global traffic
behavior. It arises from a limit approximation of the traffic fluctuations as
the time--scale and the number of users sharing the network grow. The resulting
probability model is comprised of a Gaussian and/or a stable, infinite variance
components. They can be succinctly described and handled by certain
'space-time' random fields. The model is validated against simulated and real
data. It is then applied to predict traffic fluctuations over unobserved links
from a limited set of observed links. Further, applications to anomaly
detection and network management are briefly discussed
Oversampling of wavelet frames for real dilations
We generalize the Second Oversampling Theorem for wavelet frames and dual
wavelet frames from the setting of integer dilations to real dilations. We also
study the relationship between dilation matrix oversampling of semi-orthogonal
Parseval wavelet frames and the additional shift invariance gain of the core
subspace.Comment: Journal of London Mathematical Society, published online March 13,
2012 (to appear in print
Wavelet representations and Fock space on positive matrices
We show that every biorthogonal wavelet determines a representation by
operators on Hilbert space satisfying simple identities, which captures the
established relationship between orthogonal wavelets and Cuntz-algebra
representations in that special case. Each of these representations is shown to
have tractable finite-dimensional co-invariant doubly-cyclic subspaces.
Further, motivated by these representations, we introduce a general Fock-space
Hilbert space construction which yields creation operators containing the
Cuntz--Toeplitz isometries as a special case.Comment: 32 pages, LaTeX ("amsart" document class), one EPS graphic file used
for shading, accepted March 2002 for J. Funct. Ana
Smoothed Affine Wigner Transform
We study a generalization of Husimi function in the context of wavelets. This
leads to a nonnegative density on phase-space for which we compute the
evolution equation corresponding to a Schr\"Aodinger equation
Diffusive wavelets on groups and homogeneous spaces
The aim of this exposition is to explain basic ideas behind the concept of
diffusive wavelets on spheres in the language of representation theory of Lie
groups and within the framework of the group Fourier transform given by
Peter-Weyl decomposition of for a compact Lie group .
After developing a general concept for compact groups and their homogeneous
spaces we give concrete examples for tori -which reflect the situation on
- and for spheres and .Comment: 20 pages, 3 figure
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