Journal article
Modelling 1-D signals using Hermite basis functions
IEE Proceedings - Vision, Image, and Signal Processing, Vol.144(6), pp.345-354
1997
Abstract
The paper discusses a method for estimating the Hermite coefficients of a discrete-time one-dimensional signal. To estimate the Hermite coefficients a solution based on Gaussian quadratures is used. The paper also looks at various least mean squared (LMS) estimation methods to estimate two further parameters which are incorporated into the orthonormal Hermite basis function; a spread term and a shift term. In addition, the effects of scaling, dilation and translates of a signal on its Hermite coefficients, spread and shift terms are presented. The paper concludes with a brief discussion on the potential application of the Hermite parameters as features for use in problems requiring shape discrimination within a one-dimensional signal. It also mentions those applications where this was found to be appropriate
Details
- Title
- Modelling 1-D signals using Hermite basis functions
- Authors/Creators
- A.I. Rasiah (Author/Creator) - Software (Germany)R. Togneri (Author/Creator) - The University of Western AustraliaY. Attikiouzel (Author/Creator) - The University of Western Australia
- Publication Details
- IEE Proceedings - Vision, Image, and Signal Processing, Vol.144(6), pp.345-354
- Publisher
- Institute of Electrical Engineers
- Identifiers
- 991005543872207891
- Copyright
- © IEE, 1997
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 4 Electrical Engineering, Electronics & Computer Science
- 4.61 Artificial Intelligence & Machine Learning
- 4.61.493 Neural-Fuzzy Integration
- Web Of Science research areas
- Engineering, Electrical & Electronic
- ESI research areas
- Engineering