RF communication is built upon a simple concept: by continually altering
the characteristics of a sinusoid, we can use it to transfer information.
At this point, we have covered a variety of important concepts that serve
as a foundation for the successful design and analysis of real-world RF
circuits and systems. We are now ready to explore a fundamental aspect of RF
engineering: modulation.
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What Is Modulation?
The general meaning of the verb “to modulate” is “to modify, to regulate,
to vary,” and this captures the essence of modulation even in the specialized
context of wireless communication. To modulate a signal is simply to
intentionally modify it, but of course, this modification is done in a very
specific way because the goal of modulation is data transfer.
We want to transfer information—ones, and zeros if we’re dealing with
digital data, or a sequence of continuously varying values if we are working in
the analog realm. But the restrictions imposed by wireless communication do not
allow us to express this information in the typical way; instead, we have to
devise a new “language,” or you might think of it as a code, that allows us to
convey the same information but within the constraints of an
electromagnetic-radiation-based system. More specifically, we need a language
that is compatible with high-frequency sinusoidal signals, because such signals
constitute the only practical means of “carrying” information in a typical RF
system.
This high-frequency sinusoid that is used to carry information is called,
appropriately, the carrier. It’s a helpful name because it reminds us that the
purpose of an RF system is not to generate and transmit a high-frequency
sinusoid. Rather, the purpose is to transfer (lower-frequency) information, and
the carrier is simply the means that we must use to move this information from
an RF transmitter to an RF receiver.
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Modulation Schemes
In verbal communication, the human body generates sound waves and
modifies—or modulates—them so as to produce a wide variety of vowels and
consonants. Intelligent use of these vowels and consonants results in
the transfer of information from the speaker to the listener. The system
according to which the sound waves are modulated is called a language.
In RF communication, the situation is very similar. A device modulates
electrical waves according to a predefined system called a modulation scheme
(or modulation technique). Just as there are many human languages, there are
many ways in which a carrier can be modulated.
It is possible that certain human languages are especially effective in
conveying certain types of information; to take an example from the ancient
world, perhaps Greek was better for philosophy and Latin was better for
codifying laws. There is no doubt, however, that reliable communication is
possible with any properly developed language, as long as the speaker
and the listener both know it. The same is true for RF systems. Each
modulation scheme has its advantages and disadvantages, but all can provide
excellent wireless communication if the fundamental requirement is
fulfilled—i.e., the receiver must be able to understand what the transmitter is
saying.
Amplitude, Frequency, Phase
A basic sinusoid is a simple thing. If we ignore DC offset, it can be
completely characterized with only two parameters: amplitude and frequency. We
also have phase, which comes into play when we consider the initial state of
the sinusoid, or when changes in wave behavior allow us to contrast one portion
of the sinusoid with a preceding portion. Phase is also relevant when comparing
two sinusoids; this aspect of sinusoidal phase has become very important
because of the widespread use of quadrature (or “IQ”) signals in RF systems.
We’ll look at IQ concepts later in the textbook.
As discussed above, modulation is modification, and we can modify only
what is already present. Sinusoids have amplitude, frequency, and phase, and
thus it should come as no surprise that modulation schemes are categorized as
amplitude modulation, frequency modulation, or phase modulation. (Actually, it
is possible to bridge these categories by combining amplitude modulation with
frequency or phase modulation.) Within each category we have two subcategories:
analog modulation and digital modulation.
Amplitude Modulation (AM)
Analog AM consists of multiplying a continuously varying sinusoidal
carrier by an offset version of a continuously varying information (aka
baseband) signal. By “offset version” I mean that the amplitude of the baseband
signal is always greater than or equal to zero.
Let’s assume that we have a 10 MHz carrier and a 1 MHz baseband waveform:
If we multiply these two signals, we get the following (incorrect)
waveform:
You can clearly see the relationship between the baseband signal (red) and
the amplitude of the carrier (blue).
But we have a problem: If you look only at the amplitude of the carrier,
how can you determine if the baseband value is positive or negative? You
can’t—and, consequently, amplitude demodulation will not extract the baseband
signal from the modulated carrier.
The solution is to shift the baseband signal so that it varies from 0 to 2
instead of -1 to 1:
If we multiply the shifted baseband signal by the carrier, we have the
following:
Now the amplitude of the carrier can be mapped directly to the behavior of
the baseband signal.
The most straightforward form of digital AM applies the same mathematical
relationship to a baseband signal whose amplitude is either 0 or 1. The result
is referred to as “on-off keying” (OOK): when the information signal is logic
zero, the carrier’s amplitude is zero (= “off”); when the information signal is
logic one, the carrier is at full amplitude (= “on”).
Frequency Modulation (FM) and Phase
Modulation (PM)
FM and PM are closely related because frequency and phase are closely
related. This is not so obvious if you think of frequency as the number of full
cycles per second—what does cycles per second have to do with the position of
the sinusoid at a given moment during its cycle? But it makes more sense if you
consider the instantaneous frequency, i.e., the frequency of a signal at a
given moment. (It is undoubtedly paradoxical to describe a frequency as
instantaneous—but, in the context of practical signal processing, we can safely
ignore the complicated theoretical details associated with this concept.)
In a basic sinusoid, the value of the instantaneous frequency is the same
as that of the “normal” frequency. The analytical value of instantaneous
frequency arises when we are dealing with signals that have a time-varying
frequency, i.e., the frequency is not a constant value but rather a function of
time, written as ω(t). In any event, the important point for our current
discussion regarding the close relationship between frequency and phase is the
following: instantaneous angular frequency is the derivative, with respect to
time, of phase. So if you have an expression φ(t) that describes the
time-varying behavior of the signal’s phase, the rate of change (with respect
to time) of φ(t) gives you the expression for instantaneous angular frequency:
ω(t)=dϕ(t)dtω(t)=dϕ(t)dt
We’ll take a closer look at frequency and phase modulation later in this
chapter. For now let’s conclude with the following plot, which applies the
mathematical relationship for frequency modulation to the baseband and carrier
signals used above:
Summary
- Modulation refers to the
process of carefully modifying an existing signal so that it can transfer
information.
- In the context of RF, the
existing signal is called the carrier, and the information is contained in
the baseband signal.
- There are many different
modulation schemes, meaning that there are different ways of incorporating
baseband information into a sinusoidal carrier wave.
- Modulation involves
modification of a carrier’s amplitude, frequency, or phase, and it can be
used to transfer analog signals or digital data.
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Source: allaboutcircuits
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