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Documentation.


Name:

alpha_exp_cwt.pro

Purpose:

Calculate the power spectral index (alpha) by linear fit of the power spectral density (PSD) as a function of wavelength value, k. PSD is obtained by means of the Continuos Wavelet Transform using a "Mexican hat" wavelet of scale a (=1/k).

Calling sequence:

ALPHA_EXP_CWT, img, ind, nscales, range, linfit_params

Input parameters:

img = Br, Blos, or Btot HARP cutout magnetogram corrected for limb presence.
ind = structure containing magnetogram's metada (resolution).
nscales = Number of linear scales to be considered in the wavelet transform. These values create a non-uniformed grid of k values. Default value is 120. 
range = definition of the Inertial range for linear fit in units of Mm^-1 . Default values are 0.05 to 0.5 (or 2 - 20 Mm in linear size)

Optional input parameters:

None

Output parameters:

linfit_params - 3 elements 1D array containing the resulting parameters from the linear fit of PSD(k).
                 linfit_params[0] = slope of the linear fit (alpha exponent)
                 linfit_params[1] = 1-sigma error associated to the slope
                 linfit_params[2] = goodness-of-fit parameter value.         

Property name in DB:

alpha_exp_cwt_blos, alpha_exp_cwt_br, alpha_exp_cwt_btot

alpha_exp_cwt_blos.alpha, alpha_exp_cwt_blos.sigma, alpha_exp_cwt_blos.fit_r

Repository:

https://dev.flarecast.eu/stash/projects/FE/repos/alpha_exp_cwt-idl/browse

References

  1. http://adsabs.harvard.edu/abs/2008SoPh..248..311H
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