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We need to use asynchronous TDM and combine 50 digital sources. On average only

ID: 2989104 • Letter: W

Question

We need to use asynchronous TDM and combine 50 digital sources. On average only 20% of the sources are active at any time. Each output slot carries 18 bits of data from each digital source. Also 8 extra bits are added to each frame for synchronization. The output rate measurement shows a rate of 2Gbps. Answer the following:

A) how many slots are in each frame

b) what is the size of an output frame (in bits)?

c) calculate the throughput at the output link

d) what is the rate of each input channel (in bps)?

e) the efficiency of this TDM multiplexing?

Explanation / Answer

a)how many slots are in each frame?

slots=50*20/100= 10

b) what is the size of an output frame (in bits)?

size of an output frame (in bits)= 10*(18+8)=260 bits

c) calculate the throughput at the output link

throughput at output link = 180/260 = 69.23%

d) what is the rate of each input channel (in bps)?

rate of each input channel=10Gbps/50=209715.2 bps

e) the efficiency of this TDM multiplexing?

efficiency of this TDM multiplexing= (18*10)/10*(18+8) = 69.23%

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