Homework 9 (Due: April 22)

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TCOM 500: Modern Telecommunications
Prof. B.-P. Paris
Homework 9
Due: April 22, 2010

Reading
Review class notes.
Problems
  1. Error Probability
    The error probability for BPSK over an AWGN channel is Pe = Q(  --------
∘
  2Eb∕N0).
    • Find the error probability when Eb∕N0 is equal to 10dB.
    • What Eb∕N0 is required to achieve an error rate Pe = 10-5.
  2. Phase Error
    With an uncorrected phase error of φ radians, the bit error probability for BPSK is Pe = Q(∘--------------
 2E  cos(φ )∕N
    b         0).
    • For Eb∕N0 equal to 8dB, find the error probability when φ equals π∕6.
    • How much Eb∕N0 is needed to achieve the same error probability as in part (a), if no phase error is present.
    • Repeat for a phase errors of φ = π∕3 and φ = π∕2.