| Summary: | 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.
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