Speaker: Wenchang Sun, Nankai University
Time: July 19, 16:20-17:00
Location: Room 327, 3rd floor, New Activity Center, HIT
Title: Reconstruction of signals from partial frame coefficients
Abstract: It is well known that a signal is uniquely determined by its frame coefficients. Since the network is not stable, erasures occur often in data transformation. In this talk, we study the reconstruction of signals from their unordered partial frame coefficients. We propose a new class of frames, namely self-located robust frames, that ensures stable recovery for any input signal with unordered partial frame coefficients. In particular, the recovery is exact whenever the received unordered partial frame coefficients are noise-free. Moreover, it is also possible to reconstruct signals with phaseless partial frame coefficients.
