Can anybody recommend a good source for material of Gaussian and Complex Gaussian wavelet? Please share the link if possible.
The notion of "Gaussian wavelet", whether real or complex, is not clear from the literature. Indeed, the Gaussian has a positive average, while wavelets are (or should be) zero-mean (to satisfy the admissibility condition).
Two standard wavelets may suit your need:
- the Morlet wavelet, or Gabor wavelet, a complex exponential multiplied by a Gaussian window envelope (or its real part),
- derivatives of Gaussians (including differences of Gaussians or DoG), sometimes called Ricker wavelet in 1D in geosciences or mexican hat in 2D.
Their complex extensions, or real restrictions, are relatively natural.