Amplitude spectrum: Difference between revisions

Revision as of 16:27, 7 November 2023

In the Fourier or spectral analysis of two time series, a measure of the correlation between the two series as a function of frequency or wavelength, but ignoring any phase differences between the two time series.
It is defined as
where n is wavenumber (number of waves per total period of the time series), Co(n) is the cospectrum, and Q(n) is the quadrature spectrum.
Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology. 666 pp.

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+{{Term
+|Display title=amplitude spectrum
-{{TermHeader}}
+|Definitions={{Definition
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-<div class="termentry">
+In the Fourier or spectral [[analysis]] of two [[time series]], a measure of the  [[correlation]] between the two series as a function of [[frequency]] or [[wavelength]], but ignoring any  [[phase]] differences between the two time series.<br/> It is defined as  <blockquote>[[File:ams2001glos-Ae20.gif|link=|center|ams2001glos-Ae20]]</blockquote> where ''n'' is [[wavenumber]] (number of waves per total [[period]] of the time series), ''Co''(''n'') is the  [[cospectrum]], and ''Q''(''n'') is the [[quadrature spectrum]].<br/> Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology.  666 pp.
-  <div class="term">
+}}
-== amplitude spectrum ==
+}}
-  </div>
-<div class="definition"><div class="short_definition">In the Fourier or spectral [[analysis]] of two [[time series]], a measure of the  [[correlation]] between the two series as a function of [[frequency]] or [[wavelength]], but ignoring any  [[phase]] differences between the two time series.</div><br/> <div class="paragraph">It is defined as  <div class="display-formula"><blockquote>[[File:ams2001glos-Ae20.gif|link=|center|ams2001glos-Ae20]]</blockquote></div> where ''n'' is [[wavenumber]] (number of waves per total [[period]] of the time series), ''Co''(''n'') is the  [[cospectrum]], and ''Q''(''n'') is the [[quadrature spectrum]].</div><br/> </div><div class="reference">Stull, R. B. 1988. An Introduction to Boundary Layer Meteorology.  666 pp. </div><br/>
-</div>
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-[[Category:Terms_A]]