1(a)
Show that the area under PDF curve is always equal to unity.
5 M
1(b)
explain cross correlation functions. Give the properties of cross correlation function.
7 M
1(c)
A three digit message is transmitted over a noisy channel having a probability of error \[P(E)=\frac{2}{5}\] per digit. Find out the corresponding CDF.
8 M
2(a)
Explain the generation of AM wave using square-law modulator along with relevant diagrams and analysis.
7 M
2(b)
With a neat block digram.explain the balanced modulator method of generating DSB - SC wave.
7 M
2(c)
Consider a message signal m(t) = 20 cos (2\pi t)volts and a carrier signal is c(t)= 50 cos \[(100\pi t )\] volts.
i) Sketch to scale resulting AM wave for 75% modulation.
ii) Find the power delivered across a load of 100\[\Omega \] due to this AM wave.
i) Sketch to scale resulting AM wave for 75% modulation.
ii) Find the power delivered across a load of 100\[\Omega \] due to this AM wave.
6 M
3(a)
Define : i) Hilbert transform; ii) Pre - envelope.
8 M
3(b)
With a neat digram,explain how SSB wave is generated using phase discriminator method with only USB and rejecting the LSB.
8 M
3(c)
Find the Hilbert transform of a signal \[x(t)=cos2\pi f_{1}t\ sin \ 2\pi \ f_{2}t\ where f_{2}\] is message signal and x(t) = cos 2?f1t sin 2?2 Where 2 is message signal and f1 is carrier signal.
4 M
4(a)
Explain with relevant equations the working of envelope detection of USB wave plus carrier.
6 M
4(b)
With a neat block diagram,explain the working of FDM technique.
7 M
4(b)
With the block digram of super heterodyne receiver and specify the importance of IF value in the receiver.List the advantages of such receivers.
7 M
5(a)
Derive the equation for FM wave. Define modulation index,maximum deviation and band width of a FM signal.
8 M
5(b)
Explain FM generation using direct method.
7 M
5(c)
An FM wave is defined by s(t) 10 cos (2-sin(6?t)),Find the instantaneous frequency of s (t).
5 M
6(a)
Explain the working of a balanced slope detector used for FM demodulation.
7 M
6(b)
Explain FM demodulation using zero crossing detectors.
5 M
6(c)
With a neat block diagram, explain the working of FM stereo multiplexing and demultiplexing.
8 M
7(a)
What is noise equivalent bandwidth? Derive an expression for the same.
8 M
7(b)
Derive Friis formula for amplifiers connected in cascade.
8 M
7(c)
An amplifier with 10db nose figure and 4db power gain is cascaded. With a second amplifier has a 10db power gain and 10db noise figure. What is the overall noise figure and power gain?
4 M
8(a)
Derive the equation for output signal to noise ration for a DSB - SC system.
7 M
8(b)
Explain the working of pre-emphasis and de-emphasis in FM.
6 M
8(c)
Show that the signal to noise ratio of the output for a single tone FM is given by \[SNR_{0}=\frac{3E^{2}_{c}(mf)^{2}}{4\ No\ W}\] Where the symbols have usual notations.
7 M
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