paper

Suboscillations with arbitrary shape

arXiv:1705.02977 · doi:10.1088/1751-8121/aa7c67

Abstract

We report a method for constructing bandpass functions that approximate a given analytic function with arbitrary accuracy over a finite interval. A corollary is that bandpass functions can be obtained that oscillate arbitrarily slower than their minimum frequency component, a counter-intuitive phenomenon known as suboscillations.

9 pages, 1 figure