Telecommunication-I
Signals and System
   1. Define signals and system. Identify various signals and systems given in figure.
   2. Define telecommunication or communication. Draw the basic block diagram of a typical
         communication system and describe each component in brief/Identify each component of
         communication system involved in transmitting voice.
   3. How a signal is degraded during transmission from one place to another?
   4. Classify signals and describe them with proper diagram.
   5. How signal strength can be measured. (Ans: signal energy, signal power). Find the
      strength/suitable measure for the given signals - Problems.
   6. Define the following signals:
          a. Step
          b. Impulse
          c. Ramp
          d. Pulse
          e. Sinusoidal
          f. Exponential
   7. Signal operations: time shifting, time scaling, and time inversion examples
   8. Sampling property/theorem of unit impulse function.
Component of Signals and Orthogonality, Signal Comparison-correlation
   9.  Find the value of constant c so that the error e between the two signals is the minimum.
   10. Find the component of one signal in the form of another signal – problems
   11. Show that signal is a generalized form of vector.
   12. Find the condition for two vectors/signals to be orthogonal. Problems
   13. Explain best friend, worst friend and complete strangers in terms of correlation coefficient between
       two signals.
   14. Find the correlation coefficient Cn between two signals. Problems
   15. Describe the application of correlation to signal detection in communications.
Signal Transmission over a communication channel
   16. What is meant by distortionless transmission?
   17. Show that for distortionless transmission, the amplitude response H () must be a constant
         and the phase response  h ( ) must be a linear function of . Draw the wave shape of
         H ( ) . Problems.
   18. Explain why human ear can recognize amplitude distortion, although it is relatively
         insensitive to phase distortion.
   19.   What are the types of distortion? Define dispersion and its effect on digital communication.
   20.   What is meant by frequency-selective fading, how can it be minimized?
   21.   State and prove Parseval’s theorem to find signal energy. Problems.
   22.   Define essential BW, ESD, PSD. Problems
   23.   Show that the energy of a modulated signal is half of the energy of the message signal.
   24.   Autocorrelation functions. Problems
Information Theory
   25. Briefly explain the relationship between probability and information.
   26. Define entropy (H) used in information theory. Problems
   27. Shannon’s capacity (C) of AWGN channel. Problems
   28. Derive the capacity of AWGN channel with infinite BW.
   29. Source coding and channel coding theorem
   30. Huffman method of code compression. Find the code efficiency and redundancy.
       Problems for binary source, r-ary source and extended source coding.
   31. Capacity and transition diagram of BSC. Problems
   32. Write short notes on the following:
           a. Compact code/ Huffman code
             b. Hamming sphere
             c. BSC, Channel matrix