**Electrical Engineering **

**Question 1**

**Question 2.0**

**Question 3**

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Given a binary symmetric channel (1380) (figure 8.14) with P(x1) = a. 1 — P P(x,) = :1, x1 (i) Show that the mutual information HEY) is given by V 10") =H(Y) +plosgp+ (1—1:) 113g2 (1 — p) ...(i) (ii) Calculate I(X.;Y) for a. = {1.5 and P(x2)-1 a x y — _ . 2 p = 0.1. 1 _ p (iii) Repeat part (ii) for a = 0.5 and _ _ _ p = 0.5, and co ent on the result. Flg. 8.14. Blnary symmetric channel (BSG) Figure 8.14 shows the diagram of the binary symmetric channel (350) with associated input probabilities. 5'1 2

If the rectangular pulse is applied to a RC filter shown in figure 7.20 instead of a matched filter, evaluate the maximum N.may which can be obtained by RC filter x(t) C Xp(t) signal to noise ratio and compare it with that obtained by corresponding matched filter. Fig. 7.20. An RC filter to receive rectangular pulse

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