SPREAD SPECTRUM
An
increasingly popular form of communications is known as spread spectrum. This
technique
does not fit neatly into the categories defined in this lesson, as it can be
used
to transmit either analog or digital data, using an analog signal.
The
spread spectrum technique was developed initially for military and intelligence
requirements.
The essential idea is to spread the information signal over a
wider
bandwidth in order to make jamming and interception more difficult. The
first
type of spread spectrum developed became known as frequency-hopping.4 A
more
recent version is direct-sequence spread spectrum. Both of these techniques
are
used in various wireless data-network products. They also find use in other
communications
applications,
such as cordless telephones.
Figure
4.21 highlights the key characteristics of any spread spectrum system.
Input
is fed into a channel encoder that produces an analog signal with a relatively
narrow
bandwidth around some center frequency. This signal is further modulated
using
a sequence of seemingly random digits known as a pseudorandom sequence.
The
effect of this modulation is to significantly increase the bandwidth (spread
the
spectrum)
of the signal to be transmitted. On the receiving end, the same digit
sequence
is used to demodulate the spread spectrum signal. Finally, the signal is fed
into
a channel decoder to recover the data.
A
comment
about pseudorandom numbers is in order. These numbers are
generated
by an algorithm using some initial value called the seed. The algorithm
is
deterministic
and therefore produces sequences of numbers that are not statistically
random.
However, if the algorithm is good, the resulting sequences will pass many
reasonable
tests of randomness. Such numbers are often referred to as pseudorandom
number.
The
important point is that unless you know the algorithm and
the
seed, it is impractical to predict the sequence. Hence, only a receiver that
shares
this
information with a transmitter will be able to successfully decode the signal.
Frequency-Hopping
Under
this scheme, the signal is broadcast over a seemingly random series of radio
frequencies,
hopping from frequency to frequency at split-second intervals. A
receiver,
hopping between frequencies in synchronization with the transmitter,
picks
up the message. Would-be eavesdroppers hear only unintelligible blips.
Attempts
to jam the signal succeed only at knocking out a few bits of it.
A
typical block diagram for a frequency-hopping system is shown in Figure
4.22.
For transmission, binary data is fed into a modulator using some digital-to-
analog
encoding scheme, such as frequency-shift keying (FSK) or binary-phase shift
keying
(BPSK). The resulting signal is centered around some base frequency. A
pseudorandom
number source serves as an index into a table of frequencies. At
each
successive interval, a new frequency is selected from the table. This frequency
is
then modulated by the signal produced from the initial modulator to produce a
new
signal with the same shape but now centered on the frequency chosen from the
table.
On
reception, the spread-spectrum signal is demodulated using the same
sequence
of table-derived frequencies and then demodulated to produce the output
data.
Direct Sequence
Under
this scheme, each bit in the original signal is represented by multiple bits in
the
transmitted signal, known as a chipping code. The chipping code spreads the
signal
across
a wider frequency band in direct proportion to the number of bits used.
Therefore,
a 10-bit chipping code spreads the signal across a frequency band that is
10
times greater than a 1-bit chipping code.
One
technique with direct-sequence spread spectrum is to combine the digital
information
stream with the pseudorandom bit stream using an exclusive-or. Figure
4.23
shows an example. Note that an information bit of 1 inverts the
pseudorandom
bits
in the combination, while an information bit of 0 causes the pseudorandom bits
to
be transmitted without inversion. The combination bit stream has the data rate
of
the original pseudorandom sequence, so it has a wider bandwidth than the
information
stream.
In this example, the pseudorandom bit stream is clocked at four
times
the information rate.
Figure
4.24
shows
a typical direct sequence implementation. In this case, the
information
stream and the pseudorandom stream are both converted to analog signals
and
then combined, rather than performing the exclusive-or of the two streams
and
then modulating.
The
spectrum spreading achieved by the direct sequence technique is easily
determined.
For example, suppose the information signal has a bit width of Tb
which
is equivalent to a data rate of l/Tb. In that case, the bandwidth of the
signal,
depending
on encoding technique, is roughly 2/Tb. Similarly, the bandwidth of the
pseudorandom
signal is 2/Tc,, where Tc is the bit width of the pseudorandom
input.
The
bandwidth of the combined signal is approximately the sum of the two
bandwidths,
or
2/(Tb +
T,).
The
amount of spreading that is achieved is a direct result of
the
data rate of the pseudorandom stream; the greater the data rate of the
pseudorandom
input,
the greater the amount of spreading.
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