Unit 2 PART-B

Note that the answers for the given questions are indicated via the page numbers given alongside. Match the page numbers with the scanned pages given below to find the answers.

1. Explain in detail about Discrete Memory less Channel. (1-66) and (629)2. Explain the Different types of Channels and Channel Capacity. (1-93) and (1-66)3. State and Explain Shannon Hartley theorem. (1-118)4. Write Short notes on i) Decoding Schemes. (110) ii) Write short notes on Shannon's fundamental theorem. (115)5. a).Explain in details about Fanon's inequality. (1-113)

b. Determine the capacity of a ternary channel with the stochastic matrix (141)

[p] = , 0 ≤ α ≤ 1

6. Derive the expression for the capacity band limited Gaussian channel (116)7. A Zero Memory source contains X={x1, x2, x3, x4} with D(X) = {1/2, 1/4, 1/8, 1/8} i) Determine entropy of the source (133)ii) Determine the second order extension of the source and show that H(X2) =2H(X)8. Find the capacity of the following three binary channels, given below (134)a) P11=P22=1b) P11=P12=P21=P22=1/2c) P11=P12=1/2; P21=1/4; P22=3/49. i) Find the capacity of the channel with the noise matrix as shown below: (136)

ii) Derive the expression for channel capacity of a symmetric noise characteristic channel. From the above expression calculate the channel capacity of the given channel noise matrix (130)

10. i) Evaluate the channel capacity of the channel whose matrix is given to be (145)

ii) a. Evaluate the capacity of the channel whose matrix is given as (144)

b. Determine the capacity of a ternary channel with the stochastic matrix (141)

[p] = , 0 ≤ α ≤ 1