A Topological Lowpass Filter for Quasiperiodic Signals
Computer Vision and Pattern Recognition
2016-12-21 v1 Dynamical Systems
Numerical Analysis
Optimization and Control
Abstract
This article presents a two-stage topological algorithm for recovering an estimate of a quasiperiodic function from a set of noisy measurements. The first stage of the algorithm is a topological phase estimator, which detects the quasiperiodic structure of the function without placing additional restrictions on the function. By respecting this phase estimate, the algorithm avoids creating distortion even when it uses a large number of samples for the estimate of the function.
Keywords
Cite
@article{arxiv.1607.06032,
title = {A Topological Lowpass Filter for Quasiperiodic Signals},
author = {Michael Robinson},
journal= {arXiv preprint arXiv:1607.06032},
year = {2016}
}