The two-dimensional orthogonal wavelet transform was applied to the LIF image of lobed mixing jet for identifying the multi-scale turbulent structures. The digital imaging slice photographs at z /D = 1.0 and 1.5 with Re = 3000 were respectively decomposed into seven image components with different broad scales. These image components provided the visualized information on the multi-scale struct...

This study investigates whether the El Niño Southern Oscillation (ENSO) affects primary commodity prices over time. We employ a wavelet approach that allows us to disentangle time and frequency domains uncover time-varying nonlinear relationships at different levels. Moreover, we adopt partial coherence (PWC) eliminate macroeconomic effects on prices. observe ENSO is associated with agricultura...

We empirically analyze the impact of economic uncertainty due to COVID-19 pandemic on trading volume each sector in S&P 500 index. Wavelet coherence analysis is carried out using policy data and index from July 2004 September 2020. Furthermore, we apply multifractal detrended fluctuation (MF-DFA) series all sectors. The wavelet shows that has substantially influenced However, different duri...

Purpose: To investigate the mechanisms of recovery following mild traumatic brain injury (mTBI) using discrete wavelet analysis of resting state fMRI (rs-fMRI) and its relationship with post concussive syndrome (PCS). Wavelet transform analysis has shown to be effective in the analysis of rs-fMRI for example in the case of schizophrenia. Wavelet analysis is able to analyze coherence between tim...

A practical step-by-step guide to wavelet analysis is given, with examples taken from time series of the El Niño– Southern Oscillation (ENSO). The guide includes a comparison to the windowed Fourier transform, the choice of an appropriate wavelet basis function, edge effects due to finite-length time series, and the relationship between wavelet scale and Fourier frequency. New statistical signi...