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<h1 id="shpowerspectrumdensityc">SHPowerSpectrumDensityC</h1>
<p>Compute the power spectral density of a complex function.</p>
<h1 id="usage">Usage</h1>
<p>call SHPowerSpectrumDensityC (<code>cilm</code>, <code>lmax</code>, <code>pspectrum</code>, <code>exitstatus</code>)</p>
<h1 id="parameters">Parameters</h1>
<dl>
<dt><code>cilm</code> : input, complex*16, dimension (2, <code>lmaxin</code>+1, <code>lmaxin</code>+1)</dt>
<dd>The complex function expressed in complex spherical harmonics.
</dd>
<dt><code>lmax</code> : input, integer</dt>
<dd>The maximum spherical harmonic degree of the power spectral density. This must be less than or equal to <code>lmaxin</code>.
</dd>
<dt><code>pspectrum</code> : output, real*8, dimension (<code>lmax</code>+1)</dt>
<dd>The power spectral density of the function.
</dd>
<dt><code>exitstatus</code> : output, optional, integer</dt>
<dd>If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.
</dd>
</dl>
<h1 id="description">Description</h1>
<p><code>SHPowerSpectrumDensityC</code> will calculate the power spectral density of a complex function expressed in complex 4-pi normalized spherical harmonics. For a given spherical harmonic degree <code>l</code>, this is calculated as:</p>
<p><code>pspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l | cilm(i, l+1, m+1) |**2 / (2l + 1)</code>.</p>
<h1 id="see-also">See also</h1>
<p><a href="shpowerlc.html">shpowerlc</a>, <a href="shpowerdensitylc.html">shpowerdensitylc</a>, <a href="shcrosspowerlc.html">shcrosspowerlc</a>, <a href="shcrosspowerdensitylc.html">shcrosspowerdensitylc</a>, <a href="shpowerspectrumc.html">shpowerspectrumc</a>, <a href="shcrosspowerspectrumc.html">shcrosspowerspectrumc</a>, <a href="shcrosspowerspectrumdensityc.html">shcrosspowerspectrumdensityc</a></p>
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