Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The 
Hermitian wavelet is defined as the derivative of a Gaussian distribution:
where 
denotes the Hermite polynomial.
The normalisation coefficient 
is given by:
The prefactor 
in the resolution of the identity of the continuous wavelet transform for this wavelet is given by:
i.e. Hermitian wavelets are admissible for all positive 
.
In computer vision and image processing, Gaussian derivative operators of different orders are frequently used as a basis for expressing various types of visual operations; see scale space and N-jet.
Examples of Hermitian wavelets:Starting from a Gaussian function with 
:
the first 3 derivatives read
and their 
norms 
So the wavelets which are the negative normalized derivatives are:
{{DEFAULTSORT:Hermitian Wavelet}}
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