Textbook problem $8\mathrm{.}14$

A synchronous nonstatistical TDM is to be used to combine four $4\mathrm{.}8kbps$ and one

$9\mathrm{.}6kbps$ signals for transmission over a single leased line. $$or framing, a block of $7$

bits $($pattern $1011101)$ is inserted for each $48$ data bits. The reframing algorithm $($at

the receiving demultiplex$)$ is as follows:

Arbitrarily scleet a bit posilion.

Consider the block of $7$ contiguous bits starting with that position.

Observe that block of $7$ bits each frame for $12$ conseculive frames.

If $10$ of the $12$ blocks match the framing pattern the system is $"$in$-$frame"; if not

advance one bit position and return to step $2.$

a$.1)$raw the multiplexed bit stream $($note that the $9\mathrm{.}6kbp$ input may be treated

as lwo $4\mathrm{.}8-kbps$ inpuls$).$

b$.$ What is the pereentage overhead in the multiplexed bit stream?

t$.$ What is the multiplexed outpul bit rate?

d$.$ What is the minimum reframe time? What is the maximum reframe time?

What is the average reframe time?