Morlet's Wavelet

The wavelet defined by Morlet is [16]:

it is a complex wavelet which can be decomposed in two parts, one for the real part, and the other for the imaginary part.

where is a constant. The admissibility condition is verified only if .Figure 14.1 shows these two functions.

  

Figure: Morlet's wavelet: real part at left and imaginary part at right.