A weakly stationary continuous-time process has covariance function [C(tau)=a^{-b tau^{2}} text { for } a>0, b>0] Prove
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A weakly stationary continuous-time process has covariance function
\[C(\tau)=a^{-b \tau^{2}} \text { for } a>0, b>0\]
Prove that its spectral density is given by
\[s(\omega)=\frac{a}{2 \sqrt{\pi b}} e^{-\frac{\omega^{2}}{4 b}}\]
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Related Book For
Applied Probability And Stochastic Processes
ISBN: 9780367658496
2nd Edition
Authors: Frank Beichelt
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