title: Topology-based signal separation.
abstract: Traditional noise-filtering techniques are known to significantly alter features of chaotic data. In this paper, we present a noncausal topology-based filtering method for continuous-time dynamical systems that is effective in removing additive, uncorrelated noise from time-series data. Signal-to-noise ratios and Lyapunov exponent estimates are dramatically improved following the removal of the identified noisy points.
authors.affiliation: Department of Applied Mathematics, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200 Australia.
authors.forename: V
authors.initials: V
authors.lastname: Robins
authors.forename: N
authors.initials: N
authors.lastname: Rooney
authors.forename: E
authors.initials: E
authors.lastname: Bradley