Local eigenfunctions based suboptimal wavelet packet representation of contaminated chaotic signals

Satish T.S. Bukkapatnam, Soundar R.T. Kumara, Akhlesh Lakhtakia

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We report a suboptimal wavelet packet representation (SWPR) of signals emanating from a chaotic attractor contaminated by low levels of noise. Our method-geared towards choosing a suboptimal scaling function to parsimoniously represent the signal-involves extracting local eigenfunctions using artificial ensembles generated from a pseudo-probability space, and using the extracted local eigenfunctions to develop a suboptimal scaling function. The application of our novel representation method to actual acoustic emission (AE) signals, sampled as time-series data (TSD) from the turning process, reveals the superiority of these methods over the existing signal representations.

Original languageEnglish (US)
Pages (from-to)149-162
Number of pages14
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume63
Issue number2
DOIs
StatePublished - Oct 1999

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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