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also exhibit spatial correlation: the reflectivity samples from adjacent resolution

               cells  may  be  correlated.  Two  excellent  general  references  on  land  and  sea
               clutter phenomenology are Ulaby and Dotson (1989) and Long (2001). A good
               brief introduction is Currie (2010).
                     Clutter echoes differ from target echoes in that they will typically exhibit
               different  PDFs,  temporal  and  spatial  correlation  properties,  Doppler
               characteristics,  and  power  levels.  These  differences  can  be  exploited  to

               separate target and clutter signals. Means to do so are the principal concern of
               Chaps.  5  and 9.  Clutter  differs  from  noise  in  two  major  ways:  its  power
               spectrum is not white (i.e., it is correlated interference), and, since it is an echo
               of the transmitted signal, the received clutter power is affected by such radar
               and scenario parameters as the antenna gain, transmitted power, and the range
               from  the  radar  to  the  terrain.  In  contrast,  noise  power  is  affected  by  none  of
               those factors, but is affected by the radar receiver noise figure and bandwidth.



               2.3.1   Behavior of σ    0
               Area clutter (land and sea surface) reflectivity is characterized by its mean or
                                                             0
               median value of radar cross section, σ  (dimensionless), the probability density
               function of the reflectivity variations, and their correlation in space and time.

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               Many of the same PDFs described in Sec. 2.2.5 are applied to modeling σ   as
               well.  Popular  examples  include  the  exponential,  lognormal,  and  Weibull
               distributions.
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                     The area reflectivity σ  of terrain observed by the radar is a strong function
               of  terrain  type  and  condition  (e.g.,  surface  roughness  and  moisture),  weather
               (wind  speed  and  direction,  precipitation),  engagement  geometry  (especially
               grazing angle), and radar parameters (wavelength, polarization). Consequently,

               selection  of  a  PDF  is  not  sufficient  to  model  clutter.  It  is  also  necessary  to
                                               0
               model the dependence of σ  on these parameters. Consider land clutter. Values
                    0
               of σ  commonly range from –60 to –10 dB. Extensive measurement programs
               over the years have collected statistics of land clutter under various conditions

               and resulted in many tabulations of σ  for various terrain types and conditions,
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                                                                    0
               as  well  as  models  for  the  variation  of σ .  Figure  2.20  shows  one  set  of
               representative  data  for  the  area  reflectivity  of  desert  terrain  versus  radar
                                                                    0
               frequency  and  grazing  angle.  Note  that σ   generally  increases  with  radar
               frequency, and decreases at shallower grazing angles. For a given frequency, the

               variation with grazing angle over the range shown is 20 to 25 dB. For a given
               grazing angle, the variation across frequency in this example is about 10 dB.
                                                                             0
               Figure  2.21  is  one  example  of  the  variation  in σ   versus  grazing  angle  for
               different  terrain  types  at  a  fixed  frequency,  in  this  case  S  band.  Generally,
               reflectivity  increase  with  terrain  roughness,  from  the  presumably  smoother

               desert terrain to the complex, rough urban terrain.
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