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The output of a synchronous TDM multiplexer generates output frames each of whic

ID: 2989009 • Letter: T

Question

The output of a synchronous TDM multiplexer generates output frames each of which consisting of 50 slots. Each slot carrying 10 bits from each input sources. There are give extra bits per frame which are added for synchronous purposes. Assume the rate of each in put is 3Kbps. In average 20% of the inputs are idle at any time.

1. What's the size of an output frame

2. What's the duration of a synchronization bit in an output frame in seconds

3. What is output frame rate in bits per second

4. What is output rate in bps

Explanation / Answer

answer 1)

size of an output frame= (bits per slot * total number of slots )+ ( total nuumber of synchronization bits + 20% extra bits

= (50*10)+ 49+100

= 649 bits

answer 2)

duration of a synchronization bit = 11/3072=3.58 ms

answer 3)

output frame rate= 649/3072=0.211bps

answer 4)

output rate = 10*output frame rate = 2.11bps

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