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modulation, amplitude                                                        modulation, frequency  270



           are termed upper and lower sidebands. The spectrum of the  Complex modulation is the factor u(t) in the complex repre-
           amplitude modulated signal is shown in Fig. M12. The spec-  sentation of a waveform:
           trum width is equal to 2W. AIL
                                                                                            j2ptf 0
                                                                                      =
           Ref.: IEEE (1993), p. 34;Terman (1955), Ch. 15; Chistyakov (1986), p. 138.  u t () ut () e
                                                                                   c
                   2                                            where
                                                                                             jj t ()
                                                                                       =
                                                                                   ut () at () e
                   1
                Signal voltage  0                               a(t) is amplitude modulation,  f(t) is the  phase  modulation,
                                                                and f  is the carrier frequency. The concept of complex modu-
                                                                    0
                                                                lation eliminates the necessity of manipulating the carrier fre-
                   1
                                                                quency in  the calculations  associated with the complex
                                                                representation of the waveform. SAL
                   2
                    0                 1                2
                                                                Ref.: Brookner (1988), p. 125.
                               Time in cycles of modulation
                                                                Cross-modulation is a type of intermodulation when the
                                             (a)
                                                                desired signal’s carrier is modulated by an undesired signal
                                     A                          wave. SAL
                                     0
                                                                Ref.: Johnston (1979), p. 57.
                                                                digital modulation (see coded modulation).
                            M  A            M  A
                             0 0             0 0
                             2               2
                                                                Dual modulation is the combination of modulating modes
                                                                employed  in  CW radar  to improve the radar performance.
                                                    w
                          w  -W    w      w  +W
                           0       0       0                    Different variants of combination can be used: sawtooth plus
                                   2  W                         sawtooth, triangle plus sine, triangle plus  triangle, triangle
                                              (b)
                                                                plus noise, sine plus noise, and so forth. In general, one of the
                                                                modulations enables to have a large deviation and another is
             Figure M12 Amplitude modulation of the signal: (a) ampli-
             tude-modulated waveform (the dashed line indicates the enve-  chosen to have a perturbation type of behavior on the mixer
             lope); (b) spectrum of resulting signal.           spectrum. SAL
                                                                Ref.: Skolnik (1990), p. 14.30.
           (Amplitude-)pulse modulation is amplitude modulation  Frequency modulation changes the carrier frequency gradu-
           when the modulating  signal is a sequence  of pulses  with  ally in time  in accordance with  the  modulating signal law.
           parameters depending on the modulating signal. AIL   The frequency-modulated signal is shown in Fig. M13. If the
           Ref.: Popov (1980), p. 28.
           antenna-scanning modulation (see MTI, limitation to per-
              formance).
           Bird-activity modulation  is  a term sometimes applied to
           denote waveforms obtained from birds. It should be men-
           tioned that the spectral components of the bird-activity modu-
           lation pattern are  rather stable  and  may  be  used for the  (a)
           purposes of identification. SAL
           Ref.: Skolnik (1980), p. 510.
           Coded modulation is modulation by information represented
           by codes. In radar applications, coded modulation is typically
           used to generate phase-coded waveforms. AIL
           Ref.: Skolnik (1970), p. 16-27.
                                                                  (b)
           The modulation coefficient or degree of  modulation  is the
           amplitude modulation parameter equal to the ratio of maxi-
           mum signal amplitude envelope variation DA to carrier ampli-
           tude A . The usual notation is M . AIL
                0
                                     0
           Ref.: Terman (1955), p. 523; Popov (1980), p. 195.
           Clipped noise modulation is noise modulation with a clip-  (c)
           ping action performed to broaden the bandwidth of the jam-
           ming signal. DKB                                       Figure M13 Frequency modulation of the signal: (a) FM wave-
           Ref.: Boyd (1961), p. 12.4.                            form; (b) frequency vs. time; (c) FM spectrum.
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