Details

Autor(en) / Beteiligte

• Lovisolo, L.
• de Pinho, M.G.
• da Silva, E.A.B.
• Diniz, P.S.R.

Titel

On the time-frequency content of Weyl-Heisenberg frames generated from odd and even functions [signal representation applications]

Ist Teil von

• 2005 IEEE International Symposium on Circuits and Systems (ISCAS), 2005, p.2309-2312 Vol. 3

Ort / Verlag

IEEE

Erscheinungsjahr

2005

Quelle

IEL

Beschreibungen/Notizen

• 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 {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z 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.