# Question: Let be a random process where An and Bn are random

Let

be a random process, where An and Bn are random variables such that , E[An]= E[Bn]= 0 E[AnBm] = 0 E[AnAm] dn, mE An = [ 2] E[BnBm] δn, mE [ Bn 2], , and for all and , where is the Kronecker delta function. This process is sometimes used as a model for random noise.

(a) Find the time- varying autocorrelation function RXX (t, t + τ).

(b) If E [Bn 2] E [An 2], is this process WSS?

(c) Find the PSD of this process.

be a random process, where An and Bn are random variables such that , E[An]= E[Bn]= 0 E[AnBm] = 0 E[AnAm] dn, mE An = [ 2] E[BnBm] δn, mE [ Bn 2], , and for all and , where is the Kronecker delta function. This process is sometimes used as a model for random noise.

(a) Find the time- varying autocorrelation function RXX (t, t + τ).

(b) If E [Bn 2] E [An 2], is this process WSS?

(c) Find the PSD of this process.

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