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shadmitcorr.html
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shadmitcorr.html
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"
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<PRE>
<!-- Manpage converted by man2html 3.0.1 -->
<B>SHADMITCORR(1)</B> SHTOOLS 3.0 <B>SHADMITCORR(1)</B>
</PRE>
<H2 class="man">SHAdmitCorr</H2 class="man"><PRE>
SHAdmitCorr - Calculate the admittance and correlation spectra of two
real functions.
</PRE>
<H2 class="man">SYNOPSIS</H2 class="man"><PRE>
SUBROUTINE SHAdmitCorr ( GILM, TILM, LMAX, ADMIT, CORR, ADMIT_ERROR )
REAL*8 GILM(2, LMAX+1, LMAX+1), TILM(2, LMAX+1,
LMAX+1), ADMIT(LMAX+1), CORR(LMAX+1)
INTEGER LMAX
REAL*8, OPTIONAL ADMIT_ERROR(LMAX+1)
</PRE>
<H2 class="man">DESCRIPTION</H2 class="man"><PRE>
<B>SHAdmitCorr</B> will calculate the admittance and correlation spectra
associated with two real functions expressed in real spherical
harmonics. The admittance is defined as Sgt/Stt, where Sgt is the
cross-power spectrum of two functions G and T. The degree-correlation
spectrum is defined as Sgt / sqrt( Sgg Stt ), which can possess values
between -1 and 1.
If the optional argument ADMIT_ERROR is specified, then the error of
the admittance will be calculated by assuming that G and T are related
by a linear isotropic transfer function: Gilm = Ql Tilm + Nilm, where N
is noise that is uncorrelated with the topography. It is important to
note that the relationship between two fields is often not described by
such an isotropic expression, such as, for example, the geophysical
loading model of Forsyth (1985).
</PRE>
<H2 class="man">ARGUMENTS</H2 class="man"><PRE>
GILM (input) REAL*8, DIMENSION (2, LMAX+1, LMAX+1)
The real spherical harmonic coefficients of the function
G.
TILM (input) REAL*8, DIMENSION (2, LMAX+1, LMAX+1)
The real spherical harmonic coefficients of the function
T.
LMAX (input) INTEGER
The maximum spherical harmonic degree that will be
calculated for the admittance and correlation spectra.
ADMIT (output) REAL*8, DIMENSION (LMAX+1)
The admittance function, which is equal to Sgt / Stt.
CORR (output) REAL*8, DIMENSION (LMAX+1)
The degree correlation function, which is equal to Sgt /
sqrt ( Sgg Stt ).
ADMIT_ERROR (output) REAL*8, OPTIONAL, DIMENSION (LMAX+1)
The uncertainty of the admittance function, assuming that
GILM and TILM are related by a linear isotropic transfer
function, and that the lack of correlation is a result of
uncorrelated noise.
</PRE>
<H2 class="man">SEE ALSO</H2 class="man"><PRE>
<B>shpowerspectrum(1)</B>, <B>shcrosspowerspectrum(1)</B>
<http://shtools.ipgp.fr/>
</PRE>
<H2 class="man">REFERENCES</H2 class="man"><PRE>
Forsyth, D. W., Subsurface loading and estimates of the flexural
rigidity of continental lithosphere, <B>J.</B> <B>Geophys.</B> <B>Res.</B>, 90,
12,623-12,632, 1985.
</PRE>
<H2 class="man">COPYRIGHT AND LICENSE</H2 class="man"><PRE>
Copyright 2012 by Mark Wieczorek <wieczor@ipgp.fr>.
This is free software; you can distribute and modify it under the terms
of the revised BSD license.
SHTOOLS 3.0 2014-09-12 <B>SHADMITCORR(1)</B>
</PRE>
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<td class="c1"><a href="http://www.ipgp.fr/">Institut de Physique du Globe de Paris</a></td>
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<td class="c3">© 2015 <a href="http://www.ipgp.fr/~wieczor">Mark Wieczorek</a></td>
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