n sources, each creating R c 8-bit characters per second, are multipexed using s

Question

n sources, each creating Rc 8-bit characters per second, are multipexed using statistical TDM. A slot carries c characters from a source and needs k bits for the address field. A frame carries maximum m slots at a time. The frame rate on the output link is F frames/s when each frame carries m slots. Answer these questions:

a) What is the maximum size of an output frame in bits, nf ?

b) What is the data rate R on the output link (including the address bits)?

c) What is the maximum value for n as a function of k ?

A:

Explanation / Answer

a) Maximum frame size rate is: given by number of sources + 1

so nf = n+1

b) Output data rate = frame rate * frame size

so frame rate is F

frame size = n+1

So output data rate (R) = F * (n+1)

c) n = k/4....

as minimum 32 bits = 8 bits / 4

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