Explain the basics of probability and random processes used in communi

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Module 3: Probability & Random Processes

20257m

Explain the basics of probability and random processes used in communication systems.

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**Probability $P(A)\in[0,1]$ , $P(A|B)=P(A\cap B)/P(B)$ . RV $X$ , PDF $f_X$ , CDF $F_X$ , process $X(t)$ ensemble, mean $\mu(t)=E[X]$ , $R(t_1,t_2)=E[X_1X_2]$ . Stationary: stats independent shift, WSS mean const $R(\tau)$ . Ergodic time=ensemble. AWGN zero-mean Gaussian $N_0/2$ . Use for BER via $Q$ .

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