Partial affine system–based frames and dual frames
Copyright policy )Partial affine system–based frames and dual frames
In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however, the partial one has not. The main focus of this paper is on partial affine system–based frames and dual frames. We obtain a necessary condition and a sufficient condition for a partial affine system to be a frame and present a characterization of partial affine system–based dual frames. Some examples are also provided.
- Beijing University of Technology China (People's Republic of)
frame, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, affine system, affine dual frame, partial affine system, affine frame
frame, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, affine system, affine dual frame, partial affine system, affine frame
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!