CAS Seminar

Dae Gwan Lee

(Jacobs University)


Date: Wed, September 16, 2015
Time: 11:15
Place: Research I Seminar Room

Abstract: A bandlimited signal may oscillate at a rate much higher than its bandlimit in a finite interval of arbitrarily long length. This phenomenon, called superoscillations, has found applications in quantum physics, antenna theory, superresolution imaging, etc. In general, the construction of superoscillations is a numerically hard problem. The most well-known and most attractive method is the minimum-energy method which yields a unique solution that has the smallest energy cost and small overall amplitude. In this talk, we show that practicality can be rather gained by neglecting the minimum-energy requirement. We propose a method of constructing superoscillations with coefficients and condition numbers that are smaller by several orders of magnitude compared to the minimum-energy solution, yet having energies close to the minimum. (