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09_200256_CH09/Bergren   4/17/03  11:24 AM  Page 233
                                                                                  COMMUNICATIONS 233
                                 the signal itself. For an RS232 signal at 100 Kbps, the signal has a waveform with
                                 about 10 microseconds per bit. Light travels 3,000 meters, about 2 miles, in 10
                                 microseconds. We’d need an antenna two miles long to transmit such a signal effi-
                                 ciently into the impedance of space. Clearly, this won’t work well. It’s one of the
                                 primary reasons almost no baseband wireless communication systems exist. They
                                 almost all use modulation.
                                Sometimes the channel is so noisy that special techniques must be used to encode
                                 the signal prior to transmission.
                                The  FCC  and  other  organizations  regulate  the  use  of  transmission  spectra.
                                 Communication links must be sandwiched between other communication links in
                                 the legal communication bands. To keep these competing communication links
                                 separate, precision modulation is used.
                              Modulation generally involves the use of a carrier signal. The information signal (I)
                            is mixed (multiplied by) the carrier signal (C), and the modulated signal (M) is broad-
                            cast through the communication channel:

                                                          M     I     C

                              Although many different signals can be used as the carrier C, the type of signal most
                            often used is the sine wave. Although the operation x can be just about any type of oper-
                            ation, the most common type of mixing involves multiplication.
                              A sine wave only has a few parameters in its equation. Thus, modulating a carrier
                            sine wave can only involve a few different operations:

                                                  C     A     sin 1v     t     u2

                            where A is the amplitude, v is the frequency, and u is the phase.
                              Any modulation of this carrier wave by the data must involve a modification of one
                            or more of these three parameters. One or more of the parameters (A, v, or u) may take
                            on one or more values based on the data. As the data input, I, takes on one of n differ-
                            ent values, the modulated carrier wave takes on one of n different shapes to represent
                            the data I. The following 3 discussions describe modulating A, v, and u in that order.

                                Amplitude Shift Keying (ASK) sets

                                                M1n2     An     sin 1v     t     u2


                                 where A is one of n different amplitudes, v is the fixed frequency, and u is the
                                 fixed phase. In the simplest form, n   2, and the waveform M looks like a sine
                                 wave that vanishes to zero whenever the data is zero (A   0 or 1).
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