Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Consider an extremely noisy channel having a bandwidth of 1 KHz. What could be the channel capacity?
5 M
1 (b) Consider a binary data sequence 1111101111. Draw the waveforms for the given binary data sequence, using Bipolar AMI RZ and Manchester.
5 M
1 (c) State two criteria which a spread-spectrum communication system must satisfy. Justify that the spread-spectrum signals are transparent to the interfacing signals, and vice-versa.
5 M
1 (d) What is the significance of Euclidean distance?
5 M
1 (e) Define code rate, hamming block code. Also explain linearity property and cyclic property of linear codes.
5 M

2 (a) Consider an alphabet of a discrete memory less source having five different source symbols with their respective probabilities as 0.1, 0.2, 0.4, 0.1 and 0.2.
i) Create a Huffman Tree for Huffman source coding technique.
ii) Tabulate the code word and length of codewords for each source symbol.
iii) Determine the average codeword length of the specified discrete memoryless source.
iv) Comment on the result obtained.
10 M
2 (b) A convolution code is described by generator sequence G1=(1,1,1) and G2=(1,0,1)
i) Draw the encoder for this code.
ii) Draw the state transition diagram for this code.
iii) Draw the trelis diagram for this code.
10 M

3 (a) Explain how matched filter and Correlator are two ways of synthesizing optimum filter. What is matched filter?
10 M
3 (b) For a Quadrature phase shift Keying (QPSK), explain the modulator, synchronous demodulator, Bandwidth and advantages.
10 M

4 (a) What is coherent demodulator? Describe coherent detection method of binary FSK signals. Also draw power spectra for BFSK modulated signal.
10 M
4 (b) In a digital communication system, the bit rate of a bipolar NRZ data sequence is 1 Mbps and carrier frequency of transmission is 100 Mhz. Determine the symbol rate of transmission and the bandwidth requirement of the communications channels for
i) 8-ary PSK system
ii) 16-ary PSK system.
10 M

5 (a) Parity check matrix for (7, 3) code is given below. \[ H= \begin{bmatrix} 0111000\\1010100 \\1100010 \\1110001 \end{bmatrix} \] Construct syndrome table for signal bit error patterns. Using syndromes, find error pattern and codeword for each of the following received vectors
r1=0011101, r2=1101110.
10 M
5 (b) A (7, 4) cyclic code is described by a generator polynomial g(x)=1+x+x3
i) Find the codeword using polynomial division method for m=1010
ii) Design an encoder for systematic code generating and explain its working.
iii) Design a syndrome generator and explain how received message is corrected?
10 M

Attempt the following (any two):
6 (a) What do you mean by an eye diagram? What is its purpose? Mention the four parameters observed from the eye pattern. Explain with the help of suitable illustration.
10 M
6 (b) Explain with the help of block diagrams and waveforms, the following techniques of spread spectrum communication.
i) Direct sequence ii) Frequency hopping.
10 M
6 (c) Viterbi decoding algorithm for convolution codes.
10 M



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