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Bispectrum

The ``bispectrum" is another statistic that is used to search for nonlinear interactions. For a Fourier transform $F(\omega)$, it is defined by
\begin{displaymath}
B(\omega_1,\omega_2) \eq
\E [ F(\omega_1) F(\omega_2) \overline{F(\omega_1+\omega_2)}]\end{displaymath} (56)
A statistic defined analogously is the ``bispectral coherency." In seismology, signals rarely have adequate duration for making sensible bispectral estimates from time averages.



Stanford Exploration Project
10/21/1998