There are many different ways for defining this auxiliary function, which yields variants of the Meyer wavelet. For instance, another standard implementation adopts
The Meyer scale function is given by:
In the time-domain, the waveform of the Meyer mother-wavelet has the shape as shown in the following figure:
- Meyer (Y.), Ondelettes et Opérateurs, Hermann, 1990.
- Daubechies, (I.), Ten lectures on wavelets, CBMS-NSF conference series in applied mathematics, SIAM Ed., pp. 117–119, 137, 152, 1992.
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