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clutter, rain                                                                          clutter, sea  85




                        5             1.6
                       p   2    – 18  r         – 14  – 1                            Table C4
                   h =  ----- K Z ´ 10  =  -------- ´ 5.7 ´ 10    m
                    v   4              4                                   Typical Clutter Reflectivity Models
                       l              l
                   2
           where |K|  = 0.93 is the refractive index factor for water.  Source   Model              Conditions
               In the MMW bands, raindrops are no longer in the Ray-      0
                                                                                    = 0.06
                                      -4
           leigh scattering region, and the l  relationship for reflectiv-  Land  s  = g siny, g  Wooded hills, y is
                                                                                                  grazing angle
           ity no longer applies. This is shown in Fig. C28 by the close
                                                                              4  2
           grouping of lines for l < 0.02m (Crane and Burke, 1978).  Point   s  = 10 m
               The fall velocity of raindrops flattens them slightly, lead-  clutter
           ing to depolarization of an incident circularly polarized wave  0
                                                                 Sea     s  = g siny,    6K B    K  is Beaufort wind
                                                                                  10logg =  +
                                                                                                  B
           upon reflection, and limiting to about 20 dB, or less for heavy
                                                                         10logl -                 scale number
                                                                                64 dB
           rain, the ability of circularly polarized radars to reduce rain
                                                                                  4
           reflectivity. DKB                                     Rain    h = (r 1.6 /l ) ´  3 ´  10 - 14  r = 3 mm/h
                                                                           v
           Ref.: Atlas (1964); Crane, R. K., and Burke, H. K., “The Evaluation of Mod-  - 8
              els for Atmospheric Attenuation and Backscatter Characteristic Estima-  Chaff  h  = 3 ´  10 l  Typical density
                                                                           v
              tion at 95 GHz,” Environmental Research and Technology doc. no. P-    2
                                                                                       y
                                                                          50
              3606, Feb. 1978.                                   Birds   s  = - 30 dBm , s  = 6 dB  Log-normal distribu-
                                                                                                  tion, s = median,
                                                                                                       50
                   20                                                                             s  = std. deviation
                                                                                                   y
                   30
                      l= 3.2 mm
                   40               l= 8.6 mm                   Clutter residue is “the clutter remaining at the output of a
                        l= 6 mm  l= 3.2 cm                      more generally to the output of any clutter filter or rejection
                   50                                           moving-target indicator (MTI) system.” The term is applied
                           l= 2 cm
                 Reflectivity in m 2 /m 3 Reflectivity in m 2 /m 3  100  l= 10 cm  device.  For possible  sources of clutter residue,  see  MTI
                   60
                                    l= 5.6 cm
                   70
                                             l = 23 cm
                                                                improvement factor. DKB
                   80
                                                                Ref.: IEEE (1993), p. 199.
                   90
                                               l= 72 cm
                                                                Sea clutter is the echo from a water surface, characterized by
                                                                                    0
                   110
                                                                mately proportional to the square root of the Beaufort wind
                   120                                          its surface reflectivity, s  or g. These parameters are approxi-
                   130                                          scale number K , and inversely proportional to wavelength:
                                                                            B
                   140
                    0.1         1          10          100                  10log g =  6K +  10log l 64 dB–
                              Rainfall rate in mm/h                                   B
              Figure C28 Rain reflectivity vs.  rainfall rate for different  This relationship gives the average overall angles relative to
              radar bands.                                      the wind direction. In general, the upwind values are a few
                                                                decibels higher and crosswind values a few decibels lower
           Rayleigh clutter (see clutter (amplitude) distribution).  than this average.
           Clutter reflectivity is “the backscatter coefficient of clutter,”  As with land clutter, the average reflectivity observed by
                                              0
           describing the clutter RCS per unit area, s , for surface clut-  a radar at low grazing angle, y <  y  = l/4ps, is
                                                                                                    h
                                                                                             c
           ter, or per unit volume, h , for volume clutter. Typical values  0 4          4           4
                                v
                                                                                                 ¤
                                                                                               (
           are given under discussions of atmospheric clutter, chaff, land  s F =  ( g sin  y) F » ( gy) y y)
                                                                                         c
                                                                              c
                                                                                                   c
           clutter, and sea clutter, and are summarized in Table C4. DKB
                                                                which is a strong function of frequency. Here, y  is the criti-
                                                                                                       c
           Clutter rejection is the general term referring to use of radar  cal grazing angle, s  is the rms surface-height deviation, and
                                                                                h
           resolution and other properties  to  reduce the output clutter  F  is the clutter pattern-propagation factor (see surface clut-
                                                                 c
           level relative to target echoes. Other terms used interchange-  ter). The rms surface height deviation in meters may be esti-
                                                                              3
           ably are clutter  cancellation, clutter reduction, and clutter  mated as s  » K /300, for a fully developed sea. The strong
                                                                         h
                                                                             B
           suppression. Resolution in velocity (doppler)  is most com-  dependence of  F 4   for a particular high-resolution clutter cell
                                                                              c
           monly used,  in  which case a more precise term is  clutter  on the height of the wave surface within that cell broadens the
           attenuation or MTI improvement factor. Other techniques that  spread of amplitudes from cell to cell, typically described by
           can be  used for clutter  rejection are (a)  high resolution in  a Weibull or log-normal distribution. Weibull spread parame-
           range or angles, (b) suitable choice  of transmitted and  ters, a = 1.5 to 2, or log-normal standard deviations s  = 5 to
                                                                                                           y
           received polarizations, (c) choice of pulse repetition and car-  7 dB, are often observed in sea clutter near the horizon, when
           rier frequencies, and (d) siting or pointing the antenna beam  high-resolution radars are used
           to favor target echoes over clutter. One of the most efficient  Figure C29 shows  sea clutter reflectivity  for  different
           techniques for clutter rejection is the moving-target detector.  radar bands under medium sea conditions (sea state 4 to 5,
           DKB                                                  wind scale 5 to 6). DKB
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