tc_wave_bases (pyleoclim.utils.wavelet.tc_wave_bases)

pyleoclim.utils.wavelet.tc_wave_bases(mother, k, scale, param)[source]

WAVE_BASES 1D Wavelet functions Morlet, Paul, or DOG

Parameters

  • mother (string) – equal to ‘MORLET’ or ‘PAUL’ or ‘DOG’

  • k (numpy.array) – the Fourier frequencies at which to calculate the wavelet

  • scale (float) – The wavelet scale

  • param (float) – the nondimensional parameter for the wavelet function

Returns

  • daughter (numpy.array) – a vector, the wavelet function

  • fourier_factor (float) – the ratio of Fourier period to scale

  • coi (float) – the cone-of-influence size at the scale

  • dofmin (float) –

    degrees of freedom for each point in the wavelet power

    (either 2 for Morlet and Paul, or 1 for the DOG)

References

Torrence, C. and G. P. Compo, 1998: A Practical Guide to Wavelet Analysis. Bull. Amer. Meteor. Soc., 79, 61-78. Python routines available at http://paos.colorado.edu/research/wavelets/