Solve Autocorrelation of WSS RP and Modulated Carrier Cos(w0t+Θ)

[ahamdiheme]

I am given the autocorrelation of a wss rp which modulates a carrier cos( w₀ t + \Theta ). I am to find the autocorrelation of the output Y(t).
I have found the autocorrelation of the carrier and I'm not sure what to do next.
If it were possible to get the rp from its autocorrelation, it would have been straight forward but now, i don't know what to do.
Any valuable suggestions?
Thanks

 

[berkeman]

I am given the autocorrelation of a wss rp which modulates a carrier cos( w₀ t + \Theta ). I am to find the autocorrelation of the output Y(t).
I have found the autocorrelation of the carrier and I'm not sure what to do next.
If it were possible to get the rp from its autocorrelation, it would have been straight forward but now, i don't know what to do.
Any valuable suggestions?
Thanks

This is a homework/coursework question, so it should be moved to the Homework Help forums. But it's a complicated enough question that I'd like to leave it here for now. But the HH rules should still apply, so please only reply with hints and suggestions as the OP is asking for. Thanks.