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B. P. Lathi, Zhi Ding - Modern Digital and Analog Communication Systems-Oxford University Press (2009)

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172 AMPLITUDE MODULATIONS AND DEMODULATIONS

The velocity Ve depends on the actual vehicles (e.g. spacecrafts, airplanes, cars). For example,

if the mobile velocity Ve is 108 km/ph, then for a carrier frequency at 100 MHz, the maximum

Doppler frequency shift would be 10 Hz. Such a shift of every frequency component by a fixed

amount 1::iw destroys the harmonic relationship between frequency components. For !::if = 10

Hz, the components of frequencies 1000 and 2000 Hz will be shifted to frequencies 1010

and 2010 Hz, respectively. This upsets their harmonic relationship and the quality of nonaudio

signals.

It is interesting to note that audio signals are highly redundant, and unless !::if is very large,

such a change does not destroy intelligibility of the output. For audio signals /::if < 30 Hz

does not significantly affect the signal quality. !::if > 30 Hz results in a sound quality similar

to that of Donald Duck. But the intelligibility is not completely lost.

Generally, there are two ways to recover the incoming carrier at the receiver. One way is

for the transmitter to transmit a pilot (sinusoid) signal that can be either the exact carrier or

directly related to the carrier (e.g., a pilot at half the carrier frequency). The pilot is separated

at the receiver by a very narrowband filter tuned to the pilot frequency. It is amplified and used

to synchronize the local oscillator. Another method, in which no pilot is transmitted, is for the

receiver to use a nonlinear device to process the received signal, to generate a separate carrier

component that can be extracted using narrow bandpass filters. Clearly, effective and narrow

bandpass filters are very important to both methods. Moreover, the bandpass filter should also

have the ability to adaptively adjust its center frequency to combat significant frequency drift

or Doppler shift. Aside from some typical bandpass filter designs, the phase-locked loop (PLL),

which plays an important role in carrier acquisition of various modulations, can be viewed as

such a narrow and adaptive bandpass filter. The principles of PLL will be discussed later in

this chapter.

4.7 FREQUENCY DIVISION MULTIPLEXING (FDM)

Signal multiplexing allows the transmission of several signals on the same channel. In

Chapter 6, we shall discuss time division multiplexing (TDM), where several signals timeshare

the same channel. In FDM, several signals share the band of a channel. Each signal is

modulated by a different carrier frequency. These carriers, referred to as subcarriers, are adequately

separated to avoid overlap ( or interference) between the spectra of various modulated

signals. Each signal may use a different kind of modulation (e.g., DSB-SC, AM, SSE-SC,

VSB-SC, or even frequency modulation or phase modulation). The modulated signal spectra

may be separated by a small guard band to avoid interference and facilitate signal separation

at the receiver.

When all the modulated spectra are added, we have a composite signal that may be

considered to be a baseband signal to further modulate a radio-frequency (RF) carrier for the

purpose of transmission.

At the receiver, the incoming signal is first demodulated by the RF carrier to retrieve

the composite baseband, which is then bandpass-filtered to separate all the modulated signals.

Then each modulated signal is demodulated individually by an appropriate subcarrier to obtain

all the basic baseband signals.

One simple example of FDM is the analog telephone long-haul system. There are two

types of long-haul telephone carrier system: the legacy analog L-carrier hierarchy systems and

the digital T-carrier hierarchy systems in North America (or the E-carrier in Europe). 3 Both

were standardized by the predecessor of the International Telecommunications Union known

(before 1992) as the CCITT (Comite Consultatiflnternational Telephonique et Telegraphique).

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