Name
Abstract | ||
|---|---|---|
Uncertainty principles for functions dened on nite Abelian groups generally relate the cardinality of a function to the cardinality of its Fourier transform. We examine how the cardinality of a function is related to the cardinality of its short{time Fourier transform. We illus- trate that for some cyclic groups of small order, both, the Fourier and the short{time Fourier case, show a remarkable resemblance. We pose the question whether this correspondence holds for all cyclic groups. |
Year | Venue | Keywords |
|---|---|---|
2008 | Structured Decompositions and Efficient Algorithms | uncertainty principle.,time{frequency dictionar- ies,short{time fourier transform,. gabor systems,erasure channels,fourier transform,time frequency,uncertainty principle,abelian group,short time fourier transform,erasure channel,cyclic group |
Field | DocType | Citations |
Discrete mathematics,Fourier inversion theorem,Short-time Fourier transform,Cardinality,Fourier transform,Parseval's theorem,Discrete Fourier transform,Fourier transform on finite groups,Fractional Fourier transform,Mathematics | Conference | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Felix Krahmer | 1 | 369 | 27.16 |
| Götz E. Pfander | 2 | 5 | 2.11 |
| Peter Rashkov | 3 | 0 | 1.01 |