For the discrete-time process Xn in Problem 11.2.2, calculate an approximation to the power spectral density by finding the DFT of the truncated autocorrelation function
![](https://test.transtutors.com/qimg/b20eff4c-1dd0-4818-979c-b17b219deb36.png)
Compare your DFT output against the DTFT SX (φ).
Problem 11.2.2
X(t) is a wide sense stationary process with autocorrelation function
![](https://test.transtutors.com/qimg/cd653ab2-f4bd-4c8c-9a3e-92b9dbe60ab4.png)
The process X(t) is sampled at rate 1/Ts = 4,000 Hz, yielding the discrete-time process Xn. What is the autocorrelation function RX [k] of Xn?