Question

Suppose, Xero has 50 voice channels, each of 700Kbps. They use synchronous TDM to multiplex these channels. If 2 bits at a time is multiplexed (2 bits in each output slot), answer the following questions: a. b. c. d. e. f. What is the size of an output frame in bits? What is the output frame rate?   What is the duration of an output frame?   What is the output data rate? Input bit duration? Output bit duration?

Answer 1

Given,

=>Number of channels = 50 channels

=>Bandwidth of each channel = 700 Kbps

=>Number of bits in each slot = 2 bits

(a)

Explanation:

Calculating size of output frame:

=>Size of output frame = number of channels*number of bits in each slot

=>Size of output frame = 50*2 bits

=>Size of output frame = 100 bits

(b)

Explanation:

Calculating output frame rate:

=>Frame rate always remains same.

=>Frame rate = 700 Kbps

(c)

Explanation:

Calculating duration of an output frame:

=>Duration of output frame = bit duration/number of channels

=>Duration of output frame = 2.86 mircoseconds/50

=>Duration of output frame = 0.0572 microseconds

(d)

Explanation:

Calcualting output date rate:

=>Output data rate = 50*700 kbps

=>Output data rate = 35000 kbps

(e)

Explanation:

Calculating input bit duration:

=>Input bit duration = 2/bit rate

=>Input bit duration = 2/700 kbps

=>Input bit duration = 2*10^6/700*10^3 microseconds as 1 sec = 10^6 microseconds and 1 kbps = 10^3 bps

=>Input bit duration = 2.86 microseconds

(f)

Explanation:

Calculating output bit duration:

=>Bit duration of frame remains always same.

=>Output bit duration = Input bit duration

=>Output bit duration = 2.86 microseconds

I have explained each and every part with the help of statements attached to it.