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e received code word 110110. Comment on error detection capability of this code. [15]<br />

7. a) Explain how you would draw the trellis diagram of a convolutional encoder given its<br />

state diagrams.<br />

b) For the convolutional encoder shown in figure7, draw the state diagram and the trellis<br />

diagram. [15]<br />

Figure: 7<br />

8. a) What are the advantages of spread spectrum technique.<br />

b) Compare direct sequence spread spectrum and frequency hopped spread spectrum<br />

techniques and draw the important features of each. [15]<br />

B. Tech III Year II Semester Examinations, April/May - 2012<br />

DIGITAL COMMUNICATIONS<br />

(ELECTRONICS AND COMMUNICATION ENGINEERING)<br />

Time: 3 hours Max. Marks: 75<br />

Answer any five questions<br />

All questions carry equal marks<br />

---<br />

1. a) State and discuss the Hartley-Shannon law.<br />

b) The terminal of a computer used to enter alpha numeric data is connected to the computer<br />

through a voice grade telephone line having a usable bandwidth of 3 KHz and a output SNR<br />

of 10 dB. Determine:<br />

i) The capacity of the channel<br />

ii) The maximum rate at which data can be transmitted from the terminal to the computer<br />

without error.<br />

Assume that the terminal has 128 characters and that the data sent from the terminal consists<br />

of independent sequences of characters with equal probability.<br />

[15]<br />

2. a) What is hunting in delta modulation? Explain.<br />

b) Differentiate between granular and slope overload noise.<br />

c) A signal band limited within 3.6 KHz is to be transmitted via binary PCM on a channel<br />

whose maximum pulse rate is 40,000 pulses/sec. Design a PCM system and draw a block<br />

diagram showing all parameters. [15]<br />

3. a) Derive an expression for the spectrum of BFSK and sketch the same.<br />

b) Explain operation of differentially encoded PSK system. [15]<br />

4. a) What is an inter symbol interference in base band binary PAM system? Explain.<br />

b) Give the basic components of a filter in baseband data transmission and explain.<br />

[15]<br />

5. a) State the significance of H(Y/X) and H(X/Y).<br />

b) Given six messages with probabilities, P() = 123456x, x, x, x, x, x1x13, 21P(x) = , 4<br />

31P(x) = , 8 41P(x) = , 8 51P(x) = , 12 61P(x) = 12. Find the Shannon-Fano code.<br />

Evaluate the coding efficiency. [15]<br />

6. a) State and explain the properties of cyclic codes.<br />

b) The generator polynomial of a (7, 4) cyclic code is x 3 +x+1. Construct the generator<br />

matrix for a systematic cyclic code and find the code word for the message (1101)<br />

using the generated matrix. [15]<br />

7. a) What is a convolutional code? How is it different from a block code?<br />

b) Find the generator matrix G(D) for the (2, 1, 2) convolutional encoder of figure shown 7.<br />

[15]<br />

Figure: 7<br />

8. a) What are the PN sequences? Discuss their characteristics.

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