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 language | English |
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Article number | 625364 |
Number of pages | 8 |
Journal | Journal of Engineering |
Volume | 2013 |
DOIs | |
Publication status | Published - 2013 |
MoE publication type | A1 Journal article-refereed |