STUPIDSID
1 (a)
Define random variable and find the mean, the mean square and the variance of the general Gaussian random variable.
7 M
1 (b)
Explain briefly Nyquist's sampling theorem. What is Interpolation process? Derive Interpolation formula.
7 M
2 (a)
Derive channel capacity C if channel noise is additive, white Gaussian with mean square value N, given signal power S.
7 M
Solve any one question from Q2(b) & Q2(c)
2 (b)
A binary channel matrix is given by
x1,x2=input y1,y2=output
Px(x1)=1/3 and Px(x2)=2/3. Determine H(X), H(Y), H(X/Y), H(Y/X) and I(X;Y).
| y1 | y2 | |
| x | 2/3 | 1/3 |
| x2 | 1/10 | 9/10 |
x1,x2=input y1,y2=output
Px(x1)=1/3 and Px(x2)=2/3. Determine H(X), H(Y), H(X/Y), H(Y/X) and I(X;Y).
7 M
2 (c)
A zero-memory source emits messages m1 and m2 with probabilities 0.8 and0.2, respectively. Find the optimum (Huffman) binary code for this source as well as for its second - and third ' order extension (that is, for N = 2 and 3). Determine the code efficiencies in each code.
7 M
Solve any two question from Q3(a), Q3(b) & Q3(c), Q3(d)
3 (a)
What is line coding? What are the ideal requirements from line coding? Draw waveform of bipolar AMI coding for the sequence 10100101.
7 M
3 (b)
Explain Delta Modulation in detail. Also discuss its advantages and disadvantages.
7 M
3 (c)
What is Inter Symbol Interference? Explain the Nyquist's first criteria for zero ISI.
7 M
3 (d)
What are the functions of regenerative repeater? Fully Explain the zero forcing equalizer with expressions.
7 M
Solve any two question from Q4(a), Q4(b) & Q4(c), Q4(d)
4 (a)
Derive the general expression of Bit Error Rate (BER) for Optimum Binary Receiver.
7 M
4 (b)
For ASK modulated signal, derive the expression of bit error probability using non-coherent detection.
7 M
4 (c)
What is the multi-amplitude signalling? Derive the BER for the same using matched-filter receiver.
7 M
4 (d)
Explain mathematical and graphical representation of BPSK. Explain BPSK generation.
7 M
Solve any two question from Q5(a), Q5(b) & Q5(c), Q5(d)
5 (a)
Explain the generation of linear block code using suitable example.
7 M
5 (b)
1. Construct the systematic (7,4) cyclic code using the generator polynomial g(x)=x3+x+1
2. What are the error correcting capabilities of this code?
3. Construct the decoding table.
4. If the received word is 1101100, determine the transmitted data word.
2. What are the error correcting capabilities of this code?
3. Construct the decoding table.
4. If the received word is 1101100, determine the transmitted data word.
7 M
5 (c)
Explain QPSK with waveforms, constellation diagram and mathematical representation.
7 M
5 (d)
Write short note on Convolutional coding.
7 M
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