Page 332 - Fundamentals of Radar Signal Processing
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incidence. Other ranges may exhibit clutter seen through the antenna sidelobes,

               called sidelobe clutter (SLC). SLC is weaker than MLC because it is observed
               through the lower-gain sidelobes. It is also weaker than the AL due to longer
               ranges  and  non-vertical  incidence.  SLC  can  potentially  extend  from  Doppler
               shifts approaching +2v/λ (directly ahead of the radar) to –2v/λ (directly behind
               the  radar),  though  the  amplitude  will  drop  rapidly  due  to  increasing  range  at
               those maximum Doppler shifts.

                     Figure 5.3b  is  a  sketch  of  the  notional  MLC  spectrum  at  the  range  bin
               corresponding to the radar boresight, assuming the PRF is high enough to avoid
               any aliasing. The MLC will be centered at F           MLC  = 2vcosψ   MLC /λ, where ψ   MLC  is
               the depression angle from the horizontal velocity vector to the radar boresight
               vector.  The  width β    MLC   of  the  MLC  will  be  approximately  the  sum  of  the
               intrinsic clutter spectrum width β  and the mainlobe widening due to platform
                                                       C
               motion  of β   =  2vθsinψ     MLC /λ,  where θ  is  the  antenna  azimuth  beamwidth  in
                              D
               radians. Figure 5.3c is a similar sketch for the altitude line, which would occur
               at a closer range bin. Range bins nearer than that of the AL can contain only
               noise.
                     Figure 5.4 is a more detailed simulated range-Doppler clutter spectrum for
               a down-looking airborne radar viewing flat homogeneous ground clutter. The
               aircraft is traveling level at an altitude of 10,000 feet (3048 m) and a velocity of

               300  mph  (134.1  m/s).  The  RF  is  10  GHz.  The  radar  antenna  has  a  2.5°
               beamwidth, and its boresight is scanned 45° clockwise (right) of the velocity
               vector in azimuth and 10° down in elevation. The boresight will then intersect
               the ground at a range of 17.3 km. The component of velocity along the boresight
               (i.e., vcosψ MLC ) is 93.4 m/s, giving a Doppler shift at the center of the mainlobe
               clutter of 6.23 kHz. The maximum clutter Doppler shift that could be observed
               is ±89.4 kHz, corresponding to relative velocities of ±134.1 m/s, the aircraft

               velocity.
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