648 SIGNAL PROCESSING
x 1 (t)x 2 (t)x 3 (t)x 1 (t)x 2 (t)x 3 (t)Master
oscillator
Frequency
synthesizerTransmission
mediumInput
signals(a)(b)LPFLPFLPFSSB
modSSB
modSSB
modΣ64 kHz68 kHz72 kHzFrequency
synthesizerOutput
signalsBPFBPFBPFBPFDemodDemodDemod60-kHz pilotPilot60–64 kHz64–68 kHz68–72 kHz64 kHz60-kHz pilot68 kHz72 kHzf , kHz(^060646872)
Figure 14.2.8(a)Simple FDM system.(b)Typical spectrum of multiplexed signal with pilot.
multiplexing. Integrated switching circuits have made the TDM implementation much simpler
than FDM.
EXAMPLE 14.2.2
Find the transmission bandwidth required of a data telemetry system that is to handle three different
signals with bandwidthsW 1 =1 kHz,W 2 =2 kHz, andW 3 =3 kHz, by employing:
(a) FDM with DSB subcarrier modulation.
(b) TDM with pulse durationD=Ts/6.
Solution
(a)B≥ 2 W 1 + 2 W 2 + 2 W 3 =12kHz.
(b)fs≥ 2 W 3 =6 kHz, soB≥ 1 /D= 6 fs≥36 kHz.