Affiliations: Okamoto Industries Inc., 3-27-12,Hongo, Bunkyo-ku
Tokyo 113-8710, Japan. E-mail: cpt.tanaka@imx.okamoto-inc.co.jp | Department of Mechanical Engineering, Nihon
University, Tokyo, Japan | Faculty of Engineering, Hosei University, Tokyo,
Japan | Division of Mechanical and Information Engineering,
Korea Maritime University, Busan, Korea
Abstract: A modal wavelet transform, which overcomes the intrinsic data number
limitation of power of two to conventional wavelet transform, has been applied
to analysis of axial and eddy pseudo velocity fields, standard PIV velocity
field and experimental PIV measurement. The modal wavelet transform is compared
with the discrete wavelet transform in order to select the optimum basis
function among Neumann, Dirichlet and Green function types basis functions.
Consequently, it is verified that Neumann type function is the best basis
because the correlation of Neumann type basis function is higher and the root
mean square is lower than the other basis functions. Also, the decomposition
vector patterns by Neumann type are similar to that by conventional Daubechies
basis function of 4th order.