Background: Electromyographic (EMG) signals obtained from a contracted muscle contain valuable information on its activity and health status. Much of this information lies in motor unit potentials (MUPs) of its motor units (MUs), collected during the muscle contraction. Hence, accurate estimation of a MUP template for each MU is crucial. Objective: To investigate the possibility of improv...

Accurate prediction of extreme flow events is important for mitigating natural disasters such as flooding. We explore and refine two modelling approaches (both separately in combination) that have been demonstrated to improve the daily peak events. These are firstly, models aggregate fine resolution (sub-daily) simulated from a process-based model (PBM) daily, secondly, hybrid combine PBMs with...

In this work, the triple convolution of Daubechies wavelet is used to solve the three dimensional (3D) microscale Dual Phase Lag (DPL) problem. Also, numerical solution of 3D time-dependent initial-boundary value problems of a microscopic heat equation is presented. To generate a 3D wavelet we used the triple convolution of a one dimensional wavelet. Using convolution we get a scaling function ...

This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...

Subdivision schemes are widely used in numerical mathematics such as signal/image approximation, analysis and control of data or analysis. However, to develop their full power, subdivision should be incorporated into a multiresolution that, mimicking wavelet analyses, provides multi-scale decomposition function, curve, surface. The ingredients needed define associated scheme decimation detail o...

In most north temperate lakes, phytoplankton biomass oscillates on an annual scale. While phytoplankton seasonal succession within a year has been described for many lakes, much less is known about variability in seasonal succession over multiple years. Here, we describe how continuous wavelet transforms can be used to identify variation in the periodicity in phytoplankton time series at multip...