Finite orthogonal frames generated by normal operators

摘要

We first characterize finite frames and orthogonal frames generated by normal operators on C-d, and apply the results to (orthogonal) generalized harmonic frames. We also show that the canonical dual frame of a finite frame generated by a normal operator on C-d is always generated by a (not-necessarily normal) operator, and give a condition when a finite frame generated by a normal operator has an alternate dual frame generated by a normal operator.