Research on Construction and Application of Butterworth Wavelet
Li Fucai,Dong Lijing,He Zhengjia
(School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)

Abstract£ºInterª²construction of wavelets and orthogonal filter banks is introduced, in which the orthogonal filter banks must be regularity for constructing wavelets.The wavelets constructed respectively by FIR(finite impulse response) filter banks and IIR (infinite impulse response) filter banks are compared. The deª²noise trsults of seven order Butterworth wavelet (based on IIR filter banks) and Daubechies wavelet (based on FIR filter banks) are analyzed, respectively. It shows that the result of low order IIR filter banks is similar to that of high order FIR filter banks.
This proves that, as an embranchment of wavelet,Butterworth wavelet can be well applied in digital signal processing.
Keywords£ºfilter banks;Butterworth wavelet;de-noise