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1 Time division multiplexing TDM m(t) T s 2T s 3T s 4T s 5T s 6T s 7T s
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Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

Feb 07, 2018

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Page 1: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

1

Time division multiplexing TDM

m(t)

Ts 2Ts 3Ts

4Ts

5Ts 6Ts 7Ts

Page 2: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

2

TDM graphical representation

for two signals

This leaves space for other samples to be

interleaved in the same sampling interval

Page 3: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

3

TDM block diagram

In TDM N signals can be transmitted

simultaneously using a single channel

This can be achieved by using the block

diagram shown below

Communication channel

Page 4: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

4

TDM block diagram

Page 5: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

5

TDM block diagram

Page 6: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

6

TDM example

Two signals are to be transmitted using

PAM TDM. The first signal has a

bandwidth of 0-8 kHz, the second signal

bandwidth is 0-10 kHz. The two signals

are sampled equally. The sampled signals

are passed through a low pass filter before

transmission

Page 7: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

7

TDM example

a) What is the minimum clock frequency of

the PAM system (commutator clock)

b) What is the minimum cutoff frequency of

the low pass filter used before

transmission that will preserve the

amplitude information on the output

pulses

Page 8: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

8

TDM example

c) What would be the minimum bandwidth if

theses two signals were frequency

multiplexed using normal AM techniques

and SSB techniques

Page 9: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

Example 1 solution

a) The minimum clock frequency of the PAM

system can be found from

b) The minimum bandwidth of the transmission

filter can be found from

9

kHzkHzf

fNfNNff

N

mmsN

401022

)2()2( 21

kHzkHz

BW

f

TBW N

n

202

40

22

1

Page 10: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

Example 1 solution

10

Page 11: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

Example 1 solution

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Page 12: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

Example 1 solution

c) If the previous two signals were

frequency multiplexed, then sent using

AM carrier, then the minimum bandwidth

would be

If SSB modulation is used then the

bandwidth would be

12

kHzBW

ffBW mm

36)108(2

2 21

kHzBW

ffBW mm

18108

21

Page 13: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

13

5.88

4.88

Page 14: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

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Page 15: Time division multiplexing TDM - An-Najah Videos divison... · 6 TDM example Two signals are to be transmitted using PAM TDM. The first signal has a bandwidth of 0-8 kHz, the second

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