Gamma Splines and Wavelets
Joint Authors
Olkkonen, Hannu
Olkkonen, Juuso T.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work we introduce a new family of splines termed as gamma splines for continuous signal approximation and multiresolution analysis.
The gamma splines gm,b(t)=tme-bt, t≥0 are born by (m+1)-times convolution of the exponential e-bt by itself.
We study the properties of the discrete gamma splines in signal interpolation and approximation.
We prove that the gamma splines obey the two-scale equation based on the polyphase decomposition.
to introduce the shift invariant gamma spline wavelet transform for tree structured subscale analysis of asymmetric signal waveforms and for systems with asymmetric impulse response.
Especially we consider the applications in biomedical signal analysis (EEG, ECG, and EMG).
Finally, we discuss the suitability of the gamma spline signal processing in embedded VLSI environment.
American Psychological Association (APA)
Olkkonen, Hannu& Olkkonen, Juuso T.. 2013. Gamma Splines and Wavelets. Journal of Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-486125
Modern Language Association (MLA)
Olkkonen, Hannu& Olkkonen, Juuso T.. Gamma Splines and Wavelets. Journal of Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-486125
American Medical Association (AMA)
Olkkonen, Hannu& Olkkonen, Juuso T.. Gamma Splines and Wavelets. Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-486125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486125