Homework 8 (Due: April 15)

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TCOM 500: Modern Telecommunications
Prof. B.-P. Paris
Homework 8
Due: April 15, 2010

Reading
Chapters 4 and 7 in Forouzan; review class notes.
Problems
  1. Problem 4.12
  2. Problem 4.18
  3. Problem 7.13
  4. Problem 7.16
  5. Link Budget
    A wireless communication system’s transmitted signals are attenuated according to the following path loss model:
    LP (dB) = - 50 + 10 ⋅ log10(f) + 30 ⋅ log10(d),

    where d denotes the distance between transmitter and receiver in meters and the carrier frequency f = 1 GHz. Further, the system is characterized by

    • thermal noise PSD N0 = -174 dBm/Hz,
    • signal bandwidth B = 1 MHz,
    • required SNR = 10 dB.

    1. Assuming the transmitter power equals 1 Watt, what is the transmission range d?
    2. How much transmit power is required to communicate over a distance of 2 km.
    3. For a given transmit power, by how much does the range increase if the bandwidth B is reduced to 100 KHz?