Wavelet and Scaling Functions
[PHI,PSI,XVAL]=wavefun(wname,ITER) [PHI1,PSI1,PHI2,PSI2,XVAL]=wavefun(wname,ITER) [PSI,XVAL]=wavefun(wname,ITER)
wavelet name, haar( "haar"), daubechies ("db1" to "db36"), coiflets ("coif1" to "coif17"), symlets ("sym2" to "sym20"), legendre ("leg1" to "leg9"), bathlets("bath4.0" to "bath4.15" and "bath6.0" to "bath6.15"), dmey ("dmey"), beyklin ("beylkin"), vaidyanathan ("vaidyanathan"), biorthogonal B-spline wavelets ("bior1.1" to "bior6.8"), "rbior1.1" to "rbior6.8", Kingsbury ("ksq1", "ksq2"), Farras ("fa1", fa2), sinus ("sinus"), morlet ("morl"), "DOG", "shan", "cauchy", cmorlet ("cmor"), poisson ("poisson"), gauss wavelet ("gaus1" to "gaus8"), complex gauss wavelet ("cgau1" to "cgau8"), mexican hat ("mexh") and frequency B spline wavelets ("fbsp").
iteration cycle, default is 8, 10 is used frequently
scaling function, some wavelets do not have scaling function
wavelet function
time domain grid
wavefun is an utility to get scaling function phi and wavelet function psi. For orthogonal wavelets, both phi and psi are available. For biorthogonal wavelets, two scaling functions and wavelet function could be obtained. For some wavelets, only wavelet function is available.