Sequences of rank-1 projections and Gabor tight fusion frames

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.