Deinterleaving Periodic Processes

Stephen D. Casey

Session: General

Keywords: point processes, periodic processes, ergodic theory, Riemann Zeta Function, Weyl's Equidistribution Theorem

TL;DR: We develop an effective algorithm for the analysis and deinterleaving of multi-periodic point processes, and include analytic and numerical justification for efficiency of the algorithm.

Abstract:

The analysis of periodic processes is an important area of signal
analysis. We introduce an algorithm (EQUIMEA), which analyses
multi-period data sets and can be applied to the analysis of
periodic processes with a single generator and the deinterleaving
and analysis of processes with multiple generators. We
address both theory and computation by finishing
with a computational study, demonstrating how the continuants of
different periods affect the efficiency of the algorithm.

Submission Number: 40