Gamma splines and wavelets

Hannu Olkkonen, Juuso T. Olkkonen

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this work we introduce a new family of splines termed as gamma splines for continuous signal approximation and multiresolution analysis. The gamma splines are born by -times convolution of the exponential 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.
Original languageEnglish
Article number625364
Number of pages8
JournalJournal of Engineering
Volume2013
DOIs
Publication statusPublished - 2013
MoE publication typeA1 Journal article-refereed

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    Olkkonen, H., & Olkkonen, J. T. (2013). Gamma splines and wavelets. Journal of Engineering, 2013, [625364]. https://doi.org/10.1155/2013/625364