Wavelet Transform and Its Application for Chaotic Signals

• Main Authors: Jen Wei, 韋仁
• Other Authors: Bing-Fei Wu
• Format: Others
• Language: en_US
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/74800884531212947968

碩士 === 國立交通大學 === 控制工程系 === 82 === The purposes of this thesis are to discuss the effect for erent basic wavelet functions based on the wavelet transform (WT) in signal processing and to apply the $WT$ to chaotic signals. In general, the difficult issues in $WT$ are how to design or search a adequate basic wavelet function and how to decide the scale factor according to different signal analysis. So some basic wavelet functions are studied and the time-frequency window criterion is proposed to the choice of basic wavelet functions, and give a rule to select scale factor in $WT$ systematically. Moreover, little attentions have been paid to the application of chaotic signals for $WT$. Traditionally, to identify a chaotic system is by means of its bifurcation diagram or the Lyapunov exponent. While these two methods are to see the chaotic phenomena in the viewpoint of time domain, we apply the $WT$ to chaotic signals and change the viewpoint of time domain into frequency domain to indentify chaotic behaviors of some chaotic systems successfully.