To date, frames have established themselves as a standard notion in applied mathematics,
computer science, and engineering as a means to derive redundant, yet stable …

The classical subject of bases in Banach spaces has taken on a new life in the modern
development of applied harmonic analysis. This textbook is a self-contained introduction to …

A classic problem is the estimation of a set of parameters from measurements collected by
only a few sensors. The number of sensors is often limited by physical or economical …

We introduce a class of informationally complete positive-operator-valued measures which
are, in analogy with a tight frame,'as close as possible'to orthonormal bases for the space of …

Coming to the end of Part 1, we hope you have a different picture of a frame in your mind
from a" picture frame." While necessarily colored by our personal bias, we intended this …

" The early chapters contain the topics from linear algebra that students need to know in
order to read the rest of the book. The later chapters are devoted to advanced topics, which …

This survey gives an introduction to redundant signal representations called frames. These
representations have recently emerged as yet another powerful tool in the signal processing …

This paper analytically characterises optimal sensor placements for target localisation and
tracking in 2D and 3D. Three types of sensors are considered: bearing-only, range-only and …

We introduce the problem of constructing weighted complex projective 2-designs from the
union of a family of orthonormal bases. If the weight remains constant across elements of the …

The aim of this paper is to investigate the symmetry properties of tight frames, with a view to
constructing tight frames of orthogonal polynomials in several variables which share the …