Frames, dual frames, and erasure problems

Fatma Bozkurt, University of Oklahoma

3:30 pm - 4:30 pm, PHSC 1105

In this talk, I will show a new method for perfect reconstruction from frame and sampling erasures in a small number of steps. By bridging an erasure set we mean replacing the erased Fourier coefficients of a function with respect to a frame by appropriate linear combinations of the non-erased coefficients. If a minimal redundancy condition is satisfied, bridging can always be done to make the reduced error operator nilpotent of index 2 using a bridge set of indices no larger than the cardinality of the erasure set.