Speaker: Nate Strawn (UMD)

Title: A New Technique for Finite Frame Construction


Frames are special collections of vectors utilized in both Harmonic Analysis and Digital Signal Processing. This talk covers frames with finitely many members, which are thus frames for n-dimensional real or complex space. A new technique is presented that allows for the construction of all finite frames belonging to significant frame families. If time allows, applications to the Kadison-Singer conjecture, CDMA signature sequence optimization, and the geometry of finite frame families will be addressed.