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SUMMARY:Constructing tight fusion frames 
DTSTART:20090615T141500
DTSTAMP:20260407T163452Z
UID:811a6adcedacfe10d953bda0cea16dbc8dd661dbda986c051c048b14
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Matthew Fickus\, Air force Institute of Technology\, Ohi
 o\, USA\nA tight fusion frame is a finite set of orthogonal projection mat
 rices that sum to a scalar multiple of the identity matrix. Tight fusion f
 rames are an emerging topic of frame theory\, with applications to encodin
 g and distributed processing. We completely characterize the existence of 
 tight fusion frames in the special case in which all of the projection mat
 rices are of equal rank. Our methods are entirely constructive. Though sev
 eral basic examples may be constructed using tensor products and orthogona
 l complements\, the general construction makes use of two new ideas: the f
 irst is a new method for building unit norm tight frames that resembles th
 e popular game Tetris\; the second is to properly modulate these Spectral 
 Tetris frames to produce Gabor fusion frames.\nProf. Fickus' homepage
LOCATION:BC 01 https://plan.epfl.ch/?room==BC%2001
STATUS:CONFIRMED
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