1. A random variable has an exponential probability distribution function given by where a and b are constants. Find
the relationship between and the distribution function of

2. Explain the method used for generation of Double Side Band-Supressed Carrier signal-chopper type switching modulator. Support your answer with neatly labelled circuit and waveforms. Also, include mathematical expressions.

3. Prove that if every frequency component of a signal is shifted by the resultant signal, is the Hilbert Transform of Also list the important properties of Hilbert Transform.

4. Explain the filter method and phase discrimination method for generation of Vestigial Side Band-Suppressed Carrier signal.

5. Differentiate between Narrow band and Wide band Frequency Modulation. Explain the indirect method of FM generation (Armstrong method).

6. Explain how Phase-Locked Loop can be used as an FM Demodulator.

7. Define the term noise. What are the various sources of noise Prove that the noise figure and equivalent noise temperature of a cascaded amplifier is given by <img src='./qimages/10964-7.jpg'>

8. Write short notes on any two of the following:
Noise in 88B receiver Frequency Division Multiplexing Pre-emphasis and De-emphasis