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and clutter are significant interference sources. The moving targets appear in the

               spectrum at Doppler shifts consistent with their radial velocities relative to the
               radar.
                     Doppler processing is most often of interest when the relative amplitudes
               of the clutter, target, and noise signals are as shown: the target returns are above
               the  noise  floor  (signal-to-noise  ratio SNR    1),  but  weaker  than  the  clutter
               (signal-to-clutter ratio SCR   1). In this case, targets cannot be detected reliably

               based  on  amplitude  in  the  slow-time  domain  alone  because  the  presence  or
               absence of the target makes little difference to the total signal power. Doppler
               processing  is  used  to  separate  the  target  and  clutter  signals  in  the  frequency
               domain. The clutter can be filtered out, leaving the target return as the strongest
               signal present, or the spectrum can be computed explicitly so that targets outside
               of  the  clutter  region  can  be  located  by  finding  frequency  components  that
               significantly exceed the noise floor.

                     In this chapter the two major classes of Doppler processing, moving target
               indication  (MTI)  and pulse  Doppler  processing,  are  described.  In  the
               terminology  used  here  MTI  refers  to  the  case  where  the  slow-time  signal  is
               processed entirely in the time domain. Pulse Doppler processing refers to the
                                                                                        1
               case where the signal is processed in the frequency domain.  As will be seen,
               MTI processing produces limited information at very low computational cost;
               pulse  Doppler  processing  requires  more  computation  but  produces  more
               information and greater signal-to-interference ratio (SIR) improvement. Only
               coherent Doppler processing using digital implementations is considered since
               this  is  the  approach  taken  in  most  modern  radars.  Good  general  references
               include  Richards  (2010)  and  Schleher  (2010).  Alternative  systems  using
               noncoherent  Doppler  processing  and  implementations  based  on  analog

               technologies are described in Eaves and Reedy (1987), Nathanson (1991), and
               Schleher (2010).




               5.1   Moving Platform Effects on the Doppler Spectrum

               The notional Doppler spectrum of Fig. 5.1 represents a very simple case. While
               it is realistic for some scenarios, the Doppler spectrum for a given range bin can
               be greatly complicated by factors such as a moving radar platform, or range and
               Doppler ambiguities caused by aliasing of the target signatures.

                     The  effect  of  the  PRF  in  the  Doppler  dimension  is  straightforward.  The
               PRF establishes the width of one period of the Doppler spectrum as discussed
               above.  Clutter  or  target  signals  having  Doppler  shifts  outside  of  the  range  ±
               PRF/2 will alias into that interval. Figure 5.2 illustrates how the spectrum of
               Fig.  5.1c  might  look  if  the  PRF  were  reduced  by  40  percent.  The  clutter
               spectrum is unchanged but now represents a larger fraction of the total spectrum

               width. That is, the clear region is a smaller percentage of the spectrum width
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