Discussion of Wavelet Mother Function by Using Spectrum Analysis Method andAnalysis of Wavelet Time Frequency
Jianhu Gao · Xinjiang shiyou dizhi · 2005
In-depth discussion of wavelet mother function is made by using spectrum analysis method.Aiming at Morlet wavelet,the relations between attenuation factor and main frequency,between attenuation factor and scale parameter,between attenuation factor and quality factor of filter are deduced by theory deduction and data experiment.Based on the time-frequency analysis principle,the wavelet function determined by spectrum analysis method is subjected to continuous wavelet transform followed by having realized wavelet time-frequency analysis.The validity is verified through theoretical model analysis,and in practical application,satisfactory results are gained by comparing with that from Fourier transform.