Compute the probability that two functions are correlated at a given spherical harmonic degree for a given correlation coefficient.

Usage

prob = SHConfidence (l, corr)

Returns

prob : float
Probability that two functions expressed in spherical coefficients with spectral correlation corr are correlated at degree l.

Parameters

l : integer
The spherical harmonic degree.
corr : float
The correlation coefficient of the two data sets at degree l.

Description

SHConfidence will calculate the probability (between 0 and 1) that two sets of spherical harmonic coefficients with spectral correlation corr are linearly correlated at a given degree. This is calculated using equation A7 from Pauer et al. (2006).

References

Pauer, M, K. Fleming, and O. Cadek, Modeling the dynamic component of the geoid and topography of Venus, J. Geophys. Res., 111, E11012, doi:10.1029/2005JE002511, 2006.

See also

shadmitcorr, spectrum, cross_spectrum

Tags: python
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