Condition monitoring of linear guideways using a matched wavelet approach

Authors:
Ludger Prünte;Peter Maass;Henning Thielemann
Affiliations:
Zentrum für Technomathematik (ZeTeM), Universität Bremen, 28334 Bremen, Germany;Zentrum für Technomathematik (ZeTeM), Universität Bremen, 28334 Bremen, Germany;Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik & Informatik, 06099 Halle, Germany
Venue:
Signal Processing
Year:
2008

Citing 8
Cited 0

Ten lectures on wavelets

Ten lectures on wavelets
Orthogonal and biorthogonal texture-matched wavelet filterbanks for hierarchical texture analysis

Signal Processing
The lifting scheme: a construction of second generation wavelets

SIAM Journal on Mathematical Analysis
The what, how, and why of wavelet shrinkage denoising

Computing in Science and Engineering
Algorithms for designing wavelets to match a specified signal

IEEE Transactions on Signal Processing
The phaselet transform-an integral redundancy nearly shift-invariant wavelet transform

IEEE Transactions on Signal Processing
Efficient design of orthonormal wavelet bases for signal representation

IEEE Transactions on Signal Processing
Shiftable multiscale transforms

IEEE Transactions on Information Theory - Part 2

Quantified Score

Hi-index	0.08

Visualization

Abstract

The success of discrete wavelet methods for pattern matching applications can be significantly increased by finding a wavelet that closely approximates the pattern of interest. However, the process of fitting a wavelet to a given pattern is non-linear and non-trivial. In this paper we will address two problems. First, we develop and analyze an analytic approach for constructing a family of discrete wavelets that is optimally fitted to a given pattern. The construction is based on computing a suitable lifting filter. Secondly, we apply this matched wavelet approach to detect defects in linear guideways. Results with real data from acoustic measurements of such defects illustrate the potential of this approach.