The Welch Bounds
When
12:30 p.m., Feb. 2, 2019
Speaker
Abstract
The Welch bounds provide important design criteria for sequences in telecommunications and sensing applications. This talk will describe how the bounds, and useful characterizations of sequences that satisfy them with equality, can be obtained from a geometric perspective. This viewpoint unifies a number of observations that have been made regarding tightness of the bounds and their connections to symmetric tensors, tight frames, homogeneous polynomials, and t-designs. (Joint work with Somantika Datta and Steve Howard)