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. Self Information<br />

c. Logarithmic measure for information<br />

56. Write short notes on the following<br />

a. Entropy<br />

b. Conditional entropy<br />

c. Mutual Information<br />

d. Information<br />

57. A DMS has an alphabet of eight letters, Xi , i=1,2,3,….,8, with probabilities<br />

0.36,0.14,0.13,0.12,0.1,0.09,0.04,0.02.<br />

i. Use the Huffman encoding procedure to determine a binary code for the<br />

source output.<br />

ii. Determine the entropy of the source and find the efficiency of the code<br />

58. A DMS has an alphabet of eight letters, Xi , i=1,2,3,….,8, with probabilities<br />

{0.05,0.1,0.1,0.15,0.05,0.25,0.3}<br />

i. Use the Shannon-fano coding procedure to determine a binary code for the<br />

source output.<br />

ii. Determine the entropy of the source and find the efficiency of the code. An<br />

analog signal band limited to 10HKz quantize is 8levels of PCM System with<br />

59. Probability of 1/4/1/5, 1/5, 1/10,1/20,1/20, and 1/20 respectively. Find the entropy and rate<br />

of information.<br />

60. Explain various methods for describing conventional methods.<br />

61. Explain about block codes in which each block of k message bits encoded into<br />

block of n>k bits with an example.<br />

62. Consider a (6,3) generator matrix<br />

1 0 0 0 1 1<br />

G = 0 1 0 1 0 1<br />

0 0 1 1 1 0<br />

Find<br />

a) All the code vectors of this code.<br />

b) The parity check matrix for this code.<br />

c) The minimum weight of the code.<br />

63 . What is the hardware components required to implement a cyclic code encoder.<br />

64. Explain about the syndrome calculation, error correction and error detection in<br />

(n, k) cyclic codes.<br />

65. Briefly discuss about the linear block code error control technique.

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