Harmonic Analysis and Signal Processing Seminar

Gabor and wavelet (super)frames with Hermite and Laguerre functions

Luis Daniel Abreu
CMUC, University of Coimbra, Portugal.


Wednesday, January 27, 2010, 2:00pm, WWH 1314


Abstract

Superframes are vector-valued versions of frames which provide a tool for sending several signals into a single channel (Multiplexing). They have a rich mathematical structure which has been thoroughly investigated in the last decade.

Recent advances in time-frequency analysis allow the use of superframes to solve problems in complex analysis that were previously out-of-reach, while estimating the lattice density of certain Gabor and wavelet frames and superframes, as well as of Riesz and super-Riesz sequences.