1 Answers
Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The n th {\displaystyle n^{\textrm {th}}} Hermitian wavelet is defined as the n th {\displaystyle n^{\textrm {th}}} derivative of a Gaussian distribution:
Ψ n = − n 2 c n H e n e − 1 2 t 2 {\displaystyle \Psi _{n}=^{-{\frac {n}{2}}}c_{n}He_{n}\lefte^{-{\frac {1}{2}}t^{2}}}
where H e n {\displaystyle He_{n}\left} denotes the n th {\displaystyle n^{\textrm {th}}} Hermite polynomial.
The normalisation coefficient c n {\displaystyle c_{n}} is given by: