Name
Title | ||
|---|---|---|
On the time-frequency content of Weyl-Heisenberg frames generated from odd and even functions [signal representation applications] |
Abstract | ||
|---|---|---|
This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the functions in a set being always positive is a sufficient condition for this set of functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {EmbTnag(t)}n,mεz of an even function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/ISCAS.2005.1465086 | ISCAS (3) |
Keywords | Field | DocType |
even functions,signal representation,maxima localization,wigner distribution,odd functions,weyl-heisenberg frames,frame cardinality,frame time-frequency analysis,frame bounds,wigner-deville distribution,minima localization,time-frequency analysis,time frequency analysis,signal analysis,dictionaries | Discrete mathematics,Combinatorics,Wigner distribution function,Even and odd functions,Cardinality,Maxima and minima,Time–frequency analysis,Modular construction,Maxima,Mathematics | Conference |
ISSN | ISBN | Citations |
0271-4302 | 0-7803-8834-8 | 0 |
PageRank | References | Authors |
0.34 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lisandro Lovisolo | 1 | 37 | 8.82 |
| M. G. De Pinho | 2 | 0 | 0.34 |
| Eduardo A. B. da Silva | 3 | 238 | 46.50 |
| Paulo S. R. Diniz | 4 | 247 | 38.72 |