# Lysario – by Panagiotis Chatzichrisafis

"ούτω γάρ ειδέναι το σύνθετον υπολαμβάνομεν, όταν ειδώμεν εκ τίνων και πόσων εστίν …"

## Archive for the ‘Kay: Modern Spectral Estimation, Theory and Application’ Category

In [1, p. 62 exercise 3.16] we are asked to show that the random process
 $x[n]= A \cos(2\pi f_{0}n+\phi)$ (1)

, where $\phi$ is uniformly distributed on $(0,2\pi)$, is WSS by finding its mean and ACF. Using the same assumptions we are asked to repeat the exercise for a single complex sinusoid
 $x[n]=A\exp[j(2\pi f_{0}n+\phi)].$ (2)

 $r_{xx}[-k]=r^{\ast}[k].$ (1)