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2013.15: Smoothing non-smooth systems with low-pass filters

2013.15: JL Hook (2013) Smoothing non-smooth systems with low-pass filters.

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Abstract

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 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2013.15
Deposited By:Mr James Hook
Deposited On:23 July 2013

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