Generalized Phase Retrieval: Isometries in Vector Spaces

Publication Year:
2016
Usage 309
Abstract Views 177
Downloads 132
Repository URL:
http://scholarcommons.usf.edu/etd/6128
Author(s):
Park, Josiah
Tags:
Phase Retrieval; Isometry; Lie Group; Inverse Problem; Algebraic Variety
thesis / dissertation description
In this thesis we generalize the problem of phase retrieval of vector to that of multi-vector. The identification of the multi-vector is done up to some special classes of isometries in the space. We give some upper and lower estimates on the minimal number of multi-linear operators needed for the retrieval. The results are preliminary and far from sharp.