Complex Mexican hat wavelet (original) (raw)
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. for applications requiring high temporal precision time-frequency analysis.
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| dbo:abstract | 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. for applications requiring high temporal precision time-frequency analysis. (en) |
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| rdfs:comment | 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. for applications requiring high temporal precision time-frequency analysis. (en) |
| rdfs:label | Complex Mexican hat wavelet (en) |
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