- References
In applied mathematics, the complex Mexican hat wavelet is a low-oscillation, complex-valued, wavelet for the continuous wavelet transform. This wavelet is formulated in terms of its Fourier transform as the Hilbert analytic signal of the conventional Mexican hat wavelet:
Temporally, this wavelet can be expressed in terms of the error function,
as:
This wavelet has 
asymptotic temporal decay in 
,
dominated by the discontinuity of the second derivative of 
at 
.
This wavelet was proposed in 2002 by Addison et al.[1] for applications requiring high temporal precision time-frequency analysis.
References
1. ^P. S. Addison, et al., The Journal of Sound and Vibration, 2002 {{webarchive|url=https://archive.is/20000226173323/http://sbe.napier.ac.uk/staff/paddison/wavelet.htm |date=2000-02-26 }}
1 : Continuous wavelets
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