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A multilevel TDM system has ten sources, six with a bit rate of 200 Kbps and four with a bit rate of 400 Kbps. The frames generated by the system have 1 extra bit for synchronization. a. What is the size of a frame in bits? b. What is the frame rate? c. What is the duration of a frame? d. What is the data rate? e. What percent of the frame is overhead?

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  1. 15 April, 20:58
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    a) Frame size = 7 bits

    b) frame rate = 400,000 frames/sec

    c) Frame duration=2.5 microseconds

    d) Data rate = 2.8 mbps

    e) Percentage overhead frame = 14.29%

    Explanation:

    a) For consistency, the six 200kbps = three 400 kbps

    three 400 kbps + four 400 kbps = seven 400 kbps

    An output frame carries 1 bit from each line

    Since there are 7 lines, the frame size = 7 * 1 bits = 7 bits

    b) 400 kbps = 400000 bps

    Since 1 frame carries 1 bit, frame rate = 400,000 frames/sec

    c) Frame duration = 1/frame rate

    Frame duration = 1/400000

    Frame duration = 2.5 * 10^-6 = 2.5 microseconds

    d) Data rate = bit rate * number of frames

    Data rate = 400 kbps * 7 = 2.8 mbps

    e) percentage overhead frame = (bit rate/data rate * 100)

    = 400kbps/2.8 mbps * 100

    = 14.29%
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