A fast memory-saving method for the Morlet wavelet-based transform and its application to in vivo assessment of microcirculation dynamics

Eugene B. Postnikov, Elena S. Stiukhina and Dmitry E. Postnov

Applied Mathematics and Computation, 2017, vol. 305, issue C, 251-261

Abstract: We propose an approach to the fast numerical evaluation of the continuous wavelet transform with the Morlet wavelet based on the replacement of the Gaussian factor in the latter by a hierarchical sequence of B-splines and their application to the image formed by the analyzed signal multiplied by a set of periodic functions. We show that the suggested approach results in a significant reduction of the resulting data storage (almost linear dependence on the sample length vs. the quadratic one required by conventional methods). In order to illustrate the workability of the proposed technique we applied it to the analysis of the data on the blood flow velocity data obtained in vivo from chorioallantoic membrane of chicken embryo, which exhibit non-stationarity, bi- or multirhythmicity.

Keywords: Continuous wavelet transform; Morlet wavelet; B-splines; Microvascular dynamics (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:305:y:2017:i:c:p:251-261

DOI: 10.1016/j.amc.2017.02.008

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