Committee: 

Dr. Davenport, Advisor

Dr. McClellan, Chair

Dr. Romberg

Abstract:

The objective of the proposed research is to use theory from linear algebra to develop fast algorithms for working with sampled multiband signals. This research focuses on three aims: (i) develop fast algorithms for common tasks involving the Slepian basis, (ii) develop a fast algorithm to reconstruct a multiband signal from nonuniform samples, and (iii) develop a fast algorithm to recover a multiband signal from compressed measurements.