Constructing tight fusion frames
Event details
| Date | 15.06.2009 |
| Hour | 14:15 |
| Speaker | Prof. Matthew Fickus, Air force Institute of Technology, Ohio, USA |
| Location | |
| Category | Conferences - Seminars |
A tight fusion frame is a finite set of orthogonal projection matrices that sum to a scalar multiple of the identity matrix. Tight fusion frames are an emerging topic of frame theory, with applications to encoding and distributed processing. We completely characterize the existence of tight fusion frames in the special case in which all of the projection matrices are of equal rank. Our methods are entirely constructive. Though several basic examples may be constructed using tensor products and orthogonal complements, the general construction makes use of two new ideas: the first is a new method for building unit norm tight frames that resembles the popular game Tetris; the second is to properly modulate these Spectral Tetris frames to produce Gabor fusion frames.
Prof. Fickus' homepage
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