Sampling Expansions for AFB Signals via Change Point Detection

Stephen D. Casey

Session: General

Keywords: Shannon Sampling, Adaptive Frequency Band signals, widowing, basis folding, Change-Point Detection

TL;DR: We develop sampling expansions designed specifically for adaptive frequency band (AFB) signals, using change-point detection to detect bandwidth fluctuation.

Abstract:

This article outlines sampling expansions designed specifically
for adaptive frequency band (AFB) signals. Optimal sampling of AFB
requires changing sampling rates. The proposed expansion, the {\em Projection Method}
gives a more computationally efficient way to sample, transmit, and then reconstruct
AFB signals. The entire system is developed with flexible parameters, perfect for AFB.
To detect changing bandwidth, we use statistical methods of {\em change-point detection}.
We propose a two-component system -- using techniques of statistical change point
detection as a front end to detect changing signal bandwidth, and then using the
flexibility built into the Projection system to adjust to the changing
bandwidth.

Submission Number: 39