functionwavXFreqBSpline

Complex Frequency B-Spline wavelet

Information

This function generates the complex Frequency B-Spline wavelet function. It has no scaling function. Since this wavelet has theoretically unlimited support, the function range has to be defined with [low, high].

Inputs

TypeNameDefaultDescription
Reallow-20Lower boundary of the wavelet function
Realhigh20Higher boundary of the wavelet function
Integerorder2Wavelet order, a natural number, 1, 2, ...
Integerpoints32Number of data points of the returned functions
Realfb1Band width
Realfc1Center frequency, a real number, e.g. 0.1, 0.5, 1, 1.5, ...

Outputs

TypeNameDefaultDescription
Real[points]xRegular grid
Complex[points]psiWavelet function