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Wireless Security.pdf - PDF Archive

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122 Chapter 4<br />

particularly of ASK and PSK, to put even more bits on a symbol. Quadrature amplitude<br />

modulation, QAM, sends several signal levels on four phases of the carrier frequency<br />

to give a high bandwidth efficiency—a high bit-rate relative to the signal bandwidth.<br />

It seems then that there is essentially no limit to the number of bits that could be<br />

compressed into a given bandwidth. If that were true, the 3.4-kHz telephone line could<br />

carry millions of bits per second, and the internet bottleneck to our homes would no<br />

longer exist. However, there is a very definite limit to the rate of information transfer over<br />

a transmission medium where noise is present, expressed in the Hartley-Shannon law:<br />

C Wlog( 1 S/<br />

N)<br />

This expression tells us that the maximum rate of information (the capacity C ) that can<br />

be sent without errors on a communication link is a function of the bandwidth, W , and the<br />

signal-to-noise ratio, S / N .<br />

In investigating the ways of modulating and demodulating multiple bits per symbol, we’ll<br />

first briefly discuss a method not commonly used in short-range applications (although<br />

it could be). This is called M-ary FSK ( Figure 4.22b ) and in contrast to the aim we<br />

mentioned above of increasing the number of bits per hertz, it increases the required<br />

bandwidth as the number of bits per symbol is increased. “ M ” in “ M-FSK ” is the number<br />

of different frequencies that may be transmitted in each symbol period. The benefit of this<br />

method is that the required S/N per bit for a given bit error rate decreases as the number<br />

of bits per symbol increases. This is analogous to analog FM modulation, which uses a<br />

wideband radio channel, well in excess of the bandwidth of the source audio signal, to<br />

increase the resultant S/N. M-ary FSK is commonly used in point-to-point microwave<br />

transmission links for high-speed data communication where bandwidth limitation is no<br />

problem but the power limitation is.<br />

Most of the high-data-rate bandwidth-limited channels use multiphase PSK or QAM.<br />

While there are various modulation schemes in use, the essentials of most of them can<br />

be described by the block diagram in Figure 4.23 . This diagram is the basis of what may<br />

be called vector modulation, IQ modulation, or quadrature modulation. “ I ” stands for “ in<br />

phase ” and “ Q ” stands for “ quadrature. ”<br />

The basis for quadrature modulation is the fact that two completely independent data<br />

streams can be simultaneously modulated on the same frequency and carrier wave. This<br />

is possible if each data stream modulates coherent carriers whose phases are 90 degrees<br />

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