Industrial Data Communications 4th Edition

Chapter 7 - Wide Area Networks: Amplitude Modulation

Amplitude modulation is the process whereby the amplitude of a carrier wave (usually a
sine wave) is varied according to the information that is to be transmitted. Amplitude modulation
involves more than simply turning the carrier on or off, although that in itself is a
legitimate form of modulation. To better illustrate amplitude modulation, we will use the
classic case: where the carrier is a sine wave at some frequency many times higher than the
frequency of the modulating signal, which is also a sine wave. Figure 7-3 illustrates the frequency
spectrum occupied as a result of modulation. The result may be graphically plotted,
or a trigonometric identity may be used. In either case the outcome is the same. The output
actually consists of four different frequencies after modulation: the carrier frequency, the
modulating frequency, and two new frequencies, which are the result of modulation:

 (1) the instantaneous sum of the carrier and the modulating frequency,
(2) the instantaneous difference of the carrier and the modulating frequency.
 

Figure 7-3 shows the results of a carrier at 1 MHz and a modulating frequency of 1 KHz.
The sum and difference frequencies are then 1.001 MHz and 0.999 MHz and are called
"side frequencies." It is these new carriers that actually contain the intelligence. The change
in the carrier's amplitude at the modulating frequency rate caused the side frequencies.

Figure 7-3. Carrier and Sidebands

It is important to note that total signal (carrier ±side frequencies) occupies 0.999 MHz to
1.001 MHz. If the receiving bandwidth is less than this, the information cannot be received
(demodulated) correctly. Bandwidth is the span of frequency in Hertz; a signal occupies and
is determined by the difference between the highest- and lowest-frequency components
that are significant. In this case, subtract the lowest frequency component (0.999 MHz)
from the highest frequency component (1.001 MHz) (determined the same as range is used
in instrumentation) equals 0.002 MHz, which is 2 KHz (determined the same as span in
instrumentation). If the modulating frequency is a band of frequencies, say, 20 Hz to 5 KHz,
then the resulting required output bandwidth is 10 KHz, with each band occupying a 0.02-
to-5 KHz range on each side of the carrier. This is known as "double sideband amplitude
modulation" (DSBAM). The 1.0 MHz carrier used as an example corresponds to the 1.0 or
100 position on the AM radio dial, and the sideband frequencies correspond (roughly) to
those that the radio receives. In contemporary data transmission applications, the carrier
frequency is not very high because the losses in a twisted-wire pair (as used in the bulk of
installed telephone systems today) would not be economical. Wirelines (normal telephone
lines) have a nominal frequency response of 0.3 to 3.3 KHz. If the signal had a frequency
range of 20 Hz to 5 KHz while the wireline passes only 300 to 3,300 Hz, parts of the signal
bandwidth will be lost due to attenuation of the frequencies not passed by the wireline.

When AM is used for data transmission over a wireline, the carrier frequency is a lot lower
than our classic case. The carrier frequency is usually just above the signaling rate. Double
sideband AM can be used for data transmission. However, DSBAM requires two cycles of
bandwidth for every one cycle of the modulation frequency. This waste of bandwidth may
be offset by the fact that it is far simpler to detect and demodulate DSBAM than in most
other schemes.

 

 

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