Use of Continuous Wavelet Transform-based tools for studying turbulence, aerodynamic forces and coherence

Fourier Transform and its tools have been applied popularly in many engineering applications. However, the Fourier Transform cannot analyze non-stationary, non-linear and intermittent signals with simultaneously time-frequency plane. Wavelet Transform have been invented recently to cope with limitations of the Fourier Transforms. This paper presents Continuous Wavelet Transform and its recent applications for analyzing experimental discrete data, especially for studying wind turbulence, aerodynamic forces and coherence in the time-frequency plane. Hidden high-energy event characteristics in the turbulence and aerodynamic forces as their correlation have been investigated in time-frequency plane using some advanced wavelet transformed-based tools not only wavelet coefficient as usual but only wavelet auto spectrum, wavelet coherence. Analyzing data of the turbulence and induced aerodynamic forces have been measured directly on physical models thanks to wind tunnel experiments.