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analysis.html
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<HTML>
<HEAD>
<TITLE>Wave:Data Analysis</TITLE>
</HEAD>
<BODY BGCOLOR="#FFFFFF">
<CENTER><H1>Geophysical Data Analysis</H1></CENTER>
<P>
<BLOCKQUOTE>
<FONT SIZE=4>
<UL>
¤ To reduce a set of time series to a few parameters that
capture a large variance percentage, and,<BR>
¤ To use these dominant parameters to explain the
behavior of the time series.
</UL>
</FONT>
</BLOCKQUOTE>
<TABLE ALIGN=center CELLPADDING=5>
<TR ALIGN=center>
<TD><TD><TD ALIGN=left><FONT SIZE=5><B>Method</B>
<TD><FONT SIZE=5><B>Single Time Series</B>
<TD><FONT SIZE=5><B>Multi-series</B>
<TR VALIGN=top><TD ROWSPAN=5 ALIGN=left VALIGN=middle><FONT SIZE=5>
<PRE>
|
|
|
Increasing
Complexity
(more
variables)
|
|
|
|
\|/
V
</PRE>
</TD>
<TD>
<TD><FONT SIZE=5><I><B>Statistics</B></I>
<TD><FONT SIZE=5><UL><LI>mean, variance, skew, kurtosis
<LI>curve-fitting
<LI>autocorrelation
</UL>
<TD><FONT SIZE=5><UL><LI>multiple linear regression
<LI>covariance, cross-correlation
</UL>
<TR VALIGN=top><TD>
<TD><FONT SIZE=5><I><B>Spectrum</B></I>
<TD><FONT SIZE=5><UL><LI>Fourier power spectrum (FFT)
<LI>Maximum Entropy Method (MEM)
<LI>Multi-Taper Method (MTM)
</UL>
<TD><FONT SIZE=5><UL><LI>Cross-spectrum, phase spectrum
<LI>Coherency
</UL>
<TR BGCOLOR="#FFFF99" VALIGN=top><TD>
<TD><FONT SIZE=5><I><B>Wavelet Transform</B></I>
<TD><FONT SIZE=5><UL><LI>Wavelet power spectrum
<LI>Sliding FFT; evolutionary spectra
</UL>
<TD><FONT SIZE=5><UL><LI>Cross-wavelet spectrum, phase
<LI>Wavelet coherency
</UL>
<TR VALIGN=top><TD>
<TD><FONT SIZE=5><I><B>Orthogonal Modes</B></I>
<TD><FONT SIZE=5><UL><LI>Singular Spectrum Analysis (SSA)
</UL>
<TD><FONT SIZE=5><UL><LI>Empirical Orthogonal Functions (EOF)
& Singular Value Decomposition (SVD)
</UL>
</TABLE>
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