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) What is Causal system?
2 M
1(b) Find the Fourier transform of impulse function.
2 M
1(c) What are the merits and limitations of Fourier Transform?
3 M
Solve any one question from Q.1(d) & Q.1(e)
1(d) Find the Fourier series of the function
x(t)=cos(5t) + cos(15t)
in exponential form.
7 M
1(e) Find the Fourier transform of the function
x(t)=5t2-15t
How will be the Fourier transform be changed if this function has a period of 10 sec.?
7 M

2(a) The antenna current of AM transmitter is 10 amperes for only the carrier component and 11 amperes when carrier is modulated. Find the depth of modulation.
2 M
2(b) What is meant by vestigial side band transmission?
2 M
2(c) How modulation index in AM can be determined with the help of an oscilloscope?
3 M
Solve any one question from Q.2(d) & Q.2(e)
2(d) Suppose nonlinear devices are available for which the output current i0 and input voltage vi are related by i0=avi+b vi3
where a and b are constant. Explain how these devices may be used to produce the product modulation.
7 M
2(e) Show that any scheme that can demodulate DSB-SC can also demodulate AM. Is the converse also true?
7 M

3(a) Illustrate the relationship between FM and PM with the help of block diagram.
2 M
3(b) A Carrier is frequency modulated by two sinusoidal signals of frequency f1and f2. Make out an expression the FM signal defining the modulating signal clearly.
2 M
3(c) A 400Hz modulating signal of voltage 2.4 volts is modulated under FM to have a modulation index of 60. Calculate the maximum deviation and required bandwidth.
3 M
Solve any one question from Q.3(d) & Q.3(e)
3(d) Justify the statement 'FM has infinite bands'. Calculate the bandwidth of an FM signal generated to have a deviation of 75 kHz by a message signal of 9 kHz. What is the modulation index of the FM wave?
7 M
3(e) An angle modulated signal with carrier frequency ωc=2π×106
s(t)=10 cos(ωc +0.1 sin2000πt)
i) Find the power of the modulated signal
ii) Find the frequency deviation
iii) Find the phase deviation
7 M

4(a) List the advantages of Superheterodyne receiver over TRF receiver.
2 M
4(b) List the factors influencing the choice of IF for a radio receiver.
2 M
4(c) In a superheterodyne receiver the input AM signal has a center frequency of 1425 kHZ and bandwidth 10 kHZ. The input is down converted to 455 kHZ (single stage down conversion). What is the image frequency?
3 M
Solve any one question from Q.4(d) & Q.4(e)
4(d) Draw the block diagram of high level AM transmitter and explain the function of each block.
7 M
4(e) In a broadcast super-heterodyne receiver having no RF amplifier, the loaded Q of the antenna coupling circuit (at the input to the mixer) is 100. If the intermediate frequency is 455 kHz, calculate:
i) The image frequency and rejection ratio at 1000kHz.
ii) The image frequency and its rejection ratio at 25 mHz.
7 M

5(a) Explain the significance of the term 'Noise temperature' as applied to a receiver.
2 M
5(b) Calculate the system noise of a receiver that has three stages of a receiver having overall gain of 40dB and bandwidth of 30kHz.The noise figure is 7dB. Assume T0=290°K and Boltzmann's constant 1.38 ×10-23 J/°K.
2 M
5(c) Calculate the minimum receivable signal in radar receiver which has an IF bandwidth of 1.5mHz and a 9-dB noise figure.
3 M
Solve any one question from Q.5(d) & Q.5(e)
5(d) The first stage of a two stage amplifier has a voltage gain of 10,600 ohms input resistance, 1600 ohms equivalent noise resistance and 27K ohms resistance. For the second stage these values are 25, 81 K ohms and 1 M Ohms respectively. Calculate the equivalent input noise resistance of two amplifier.
7 M
5(e) Calculate the noise voltage at the input of television RF amplifier using a device that has a 200 ohms equivalent noise resistance and 300 ohms input resistance. The band width of amplifier is 6 mHz and temperature is 17 degree C.
7 M



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