Sequences of rank-1 projections and Gabor tight fusion frames
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This dissertation provides new results in two areas. The first part concerns the particular properties that are inherited by a sequence of rank-1 projections from the inducing sequence of unit-norm vectors. The second part applies ideas from Gabor analysis for a non-trivial construction of so-called Tight Fusion Frames. The particular necessary conditions such that these Gabor Tight Fusion Frames may perform signal retrieval modulo phase are then investigated.
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.