Frame erasure (FE) robustness is an important quality measure for voice over IP networks (VoIP). Recovery of the erased frames from the received information is crucial to realize this robustness. We allow the lost frames to be recovered from both the “previous” and “next” good frames. We first give quantitative distortion comparisons between predictive and interpolative frame recovery. Then we ...

Need for designing certain important structures to resist blast loads is increasing in the recent past years, due to the enhanced terrorist operations. A bomb explosion can cause very serious damage on the building's external and internal structural frames. Collapse of one structural member in the vicinity of the source of explosion, may then create critical stress redistributions and lead to c...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

The paper considers the basis and frame properties of the system of weighted exponentials E(g,Z\F ) = {eg(x)}n∈Z\F in L(T), where g ∈ L2(T)\{0} and F ⊂ Z. It is shown that many of the frame properties of E(g,Z\F ) are affected by the cardinalities of F and the behavior of the zeros of g.

partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...

This work presents a quantitative framework for describing the overcompleteness of a large class of frames. It introduces notions of localization and approximation between two frames F = {fi}i∈I and E = {ej}j∈G (G a discrete abelian group), relating the decay of the expansion of the elements of F in terms of the elements of E via a map a : I → G. A fundamental set of equalities are shown betwee...

Let g be a continuous, compactly supported function on R such that the integer translates of g constitute a partition of unity. We show that the Gabor system (g, a, b), with window g and time-shift and frequency-shift parameters a, b > 0 has no lower frame bound larger than 0 if b = 2, 3, . . . and a > 0. In particular, (g, a, b) is not a Gabor frame if g is a continuous, compactly supported wa...

In this work we study families of pairs of window functions and lattices which lead to Gabor frames which all possess the same frame bounds. To be more precise, for every generalized Gaussian g, we will construct an uncountable family of lattices [Formula: see text] such that each pairing of g with some [Formula: see text] yields a Gabor frame, and all pairings yield the same frame bounds. On t...