Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The n^th Hermitian wavelet is defined as the n^th derivative of a Gaussian:

where denotes the n^th Hermite polynomial.

The normalisation coefficient c_n is given by:

The prefactor C_Ψ in the resolution of the identity of the continuous wavelet transform for this wavelet is given by:

i.e. Hermitian wavelets are admissible .