ShowMe Analysis Meeting 2004 June 3-5, 2004 University of Missouri Columbia, Missouri

Brody Johnson (St. Louis University)
Shift-invariant frames and the frame potential

Abstract: The recently introduced notion of a frame potential has led to useful characterizations of finite-dimensional tight frames consisting of vectors with prescribed lengths. It is natural to ask whether the frame potential leads to similar characterizations for systems with additional imposed structure. We will describe how such a generalization can be obtained for the class of shift-invariant systems. The fast algorithms associated with convolution make shift-invariant systems advantageous in applications. (joint work with M. Fickus, K. Kornelson, & K. Okoudjou)