Complex Mexican hat wavelet

id: complex-mexican-hat-wavelet-317-15775951
title: Complex Mexican hat wavelet
text: 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 O asymptotic temporal decay in | Ψ | , dominated by the discontinuity of the second derivative of Ψ ^ at ω = 0 . This wavelet was pr
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original url: https://en.wikipedia.org/wiki/Complex_Mexican_hat_wavelet
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date modified: 2021-12-03T04:01:23Z
main entity: {"identifier":"Q5156555","url":"https://www.wikidata.org/entity/Q5156555"}
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