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Instrument Function

The finite Fourier Cosine Transform of an Apodization Function, also known as an Apparatus Function. The instrument function $I(k)$ corresponding to a given Apodization Function $A(x)$ is then given by

\begin{displaymath}
I(k)=\int_{-a}^a \cos(2\pi kx)A(x)\,dx.
\end{displaymath}

See also Apodization Function, Fourier Cosine Transform




© 1996-9 Eric W. Weisstein
1999-05-26