Time-delay estimation arises in many applications in which a multipath medium has to be
identified from pulses transmitted through the channel. Previous methods for time delay …

In this article we extend the theory of shift-invariant spaces to the context of LCA groups. We
introduce the notion of H-invariant space for a countable discrete subgroup H of an LCA …

The local reconstruction from samples is one of most desirable properties for many
applications in signal processing, but it has not been given as much attention. In this paper …

A new segmented compressed sampling (CS) method for analog-to-information conversion
(AIC) is proposed. An analog signal measured by a number of parallel branches of mixers …

A shift-invariant space is a space of functions that is invariant under integer translations.
Such spaces are often used as models for spaces of signals and images in mathematical …

We study the multiresolution structure of wavelet frames. It is known that the internal
structure of almost any nontrivial overcomplete dyadic tight wavelet frame's underlying …

Multi-window spline-type spaces arise naturally in many areas. Among others they have
been used as model spaces in the theory of irregular sampling. This class of shift-invariant …

This paper develops several aspects of shift-invariant spaces on locally compact abelian
groups. For a second countable locally compact abelian group G we prove a useful Hilbert …

The local reconstruction from samples is one of the most desirable properties for many
applications in signal processing. Local sampling is practically useful since we need only to …

We establish several results yielding linear independence of the affine system generated by
$\psi $ in exchange for conditions on the space $ V (\psi) $ of negative dilates. A typical …