You have a random process with the following correlation matrix
![](https://test.transtutors.com/qimg/478e08d6-41d0-45b6-81c9-3f7d1addf069.png)
Determine the pure prediction Wiener filter.
That is, find the coefficients of the impulse response
Then determine the power spectrum of the Wiener filter. Are the results what you expected?