Numerical differentiation based on wavelet transforms: y=spline_function(x) - File Exchange

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Numerical differentiation based on wavelet transforms

dudx=derivative_cwt(u,wt_name... % Differentiation (Derivative) of Sampled Data Based on Continuous Wavelet Transform
dudx=derivative_dwt(u,wt_name... % Differentiation (Derivative) of Sampled Data Based on Discrete Wavelet Transform
spline_scale_function(varargi...
y=spline_function(x)
demo.m
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from Numerical differentiation based on wavelet transforms by Jianwen Luo
Numerical differentiation based on wavelet transforms (CWT and DWT)

y=spline_function(x)

function y=spline_function(x)
x=x*2;%modifined
y=(x<=-2).*(zeros(size(x)))+...
    (-2<x & x<=-1).*(2+2*x+1/2*x.^2)+...
    (-1<x & x<=0).*(-2*x-3/2*x.^2)+...
    (0<x & x<=1).*(-2*x+3/2*x.^2)+...
    (1<x & x<=2).*(-2+2*x-1/2*x.^2)+...
    (2<x).*(zeros(size(x)));
y=y*4;%modifined

Highlights from Numerical differentiation based on wavelet transforms

Highlights from
Numerical differentiation based on wavelet transforms