V. Robins, N. Rooney, and E. Bradley, "Topology-Based Signal Separation," CHAOS, 14:305-316 (2004).

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 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.

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