Nonstationary signal analysis using the RI-Spline wavelet

Article type: Research Article

Authors: Zhang, Zhong^{a; *} | Kawabata, Hiroaki^b | Liu, Zhi-Qiang^{c; d}

Affiliations: [a] Department of System Engineering, Industrial Technology Center of Okayama Prefecture, 5301 Haga, Okayama 701-1296, Japan | [b] Faculty of Computer Science and System Engineering, Okayama Prefectural University, 111 Kuboki, Soja 719-1112, Japan | [c] Department of Computer Science and Software Engineering, University of Melbourne, Victoria, 3010, Australia | [d] School of Creative Media, City University of Hong Kong, Hong Kong, P.R. China

Correspondence: [*] Corresponding author. Tel.: +81 86 286 9620; Fax: +81 86 286 9630; E-mail: [email protected].

Abstract: In this paper, we propose a new complex-type wavelet which we call RI-Spline wavelet. We show that the RI-Spline wavelet satisfies the admissibility condition and bi-orthogonal condition. That is, the RI-Spline wavelet can be used for continuous and discrete wavelet transform as the mother wavelet. As an application of the RI-Spline wavelet, we examine the relationship between the sound and vibration signals produced by golf club head impact, and analyze characteristic of unsteady turbulence. Our results demonstrate the advantages of our approach and show that the RI-Spline wavelet is effective for nonstationary signal analysis.

DOI: 10.3233/ICA-2001-8406

Journal: Integrated Computer-Aided Engineering, vol. 8, no. 4, pp. 351-362, 2001