Hook, JL (2013) Smoothing non-smooth systems with low-pass filters. [MIMS Preprint]
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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 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 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2004 |
Available Versions of this Item
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Smoothing non-smooth systems with low-pass filters. (deposited 09 Apr 2013)
- Smoothing non-smooth systems with low-pass filters. (deposited 23 Jul 2013) [Currently Displayed]
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