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Exact Phase-Retrievable Frames
Author: Release time:2019-03-12 Number of clicks:

Title: Exact Phase-Retrievable Frames

Speaker: Wenchang Sun

Affiliation: Nankai University

Time: 2019-03-21 19:00-20:30

Venue: Room 201 Lecture Hall

abstract:An exact phase-retrievable frame {f_{i}}_{i}^{N} for an n-dimensional Hilbert space is a phase-retrievable frame that fails to be phase-retrievable if any one element is removed from the frame. Such a frame could have different lengths. We shall prove that for the real Hilbert space case, exact phase-retrievable frame of length N exists for every 2n-1\leq N\leq n(n+1)/2. For arbitrary frames we introduce the concept of redundancy with respect to its phase-retrievability and the concept of frames with exact PR-redundancy.



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