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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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Numerical differentiation based on wavelet transforms

14 Feb 2007 (Updated 14 Feb 2007)

Numerical differentiation based on wavelet transforms (CWT and DWT)

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Description	Numerical differentiation is important in various applications. However, it should be taken with caution because it can greatly amplify the noise in the data, especially at high frequencies. When a wavelet function is the derivative of a smoothing function, the wavelet transform has the combined properties of smoothing and differentiation.
Required Products	Wavelet Toolbox
MATLAB release	MATLAB 7.1.0 (R14SP3)

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Everyone's Tags	derivative, differentiation, time frequency, wavelet, wavelets
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Comments and Ratings (5)
05 Mar 2007	someone used this	superbly done!!
24 Oct 2007	Z. Haiyun	Excellent. It may be perfect by adding more spline wavelet.
30 Nov 2007	Zika Zivic	Really very nice. Thanks.
07 Apr 2009	Gianluca
07 Apr 2009	Gianluca	Do you think the same can be applied also for integration?

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