0195136047.pdf

(Joyce) #1

648 SIGNAL PROCESSING


x 1 (t)

x 2 (t)

x 3 (t)

x 1 (t)

x 2 (t)

x 3 (t)

Master
oscillator
Frequency
synthesizer

Transmission
medium

Input
signals

(a)

(b)

LPF

LPF

LPF

SSB
mod

SSB
mod

SSB
mod

Σ

64 kHz

68 kHz

72 kHz

Frequency
synthesizer

Output
signals

BPF

BPF

BPF

BPF

Demod

Demod

Demod

60-kHz pilot

Pilot

60–64 kHz

64–68 kHz

68–72 kHz

64 kHz

60-kHz pilot

68 kHz

72 kHz

f , 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.

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