Smoothing non-smooth systems with low-pass filters

Hook, JL (2013) Smoothing non-smooth systems with low-pass filters. [MIMS Preprint]

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Low pass filters, which are used to remove high frequency noise from time series data, smooth the signals they are applied to. In this paper we examine the action of low pass filters on discontinuous or non-differentiable signals from non-smooth dynamical systems, where this smoothing action can be thought of as a smoothing of the underlying system.

Item Type: MIMS Preprint
Uncontrolled Keywords: Non-smooth systems, signal processing, dynamical systems, Lyapunov exponents, discontinuous, graze, state space reconstruction
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
Depositing User: Mr James Hook
Date Deposited: 23 Jul 2013
Last Modified: 08 Nov 2017 18:18

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