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clutter, atmospheric                                                                 clutter, cloud  79



           usual sources include precipitation (rain, snow, hail), aurora,  Aurora clutter. The aurora consists of ionized gases in the E
           and refractive index anomalies  sometimes called “angels”  region of the atmosphere, excited by charged particles from
           because of their uncertain origin. Chaff, the man-made equiv-  the sun. Radar echoes are observed primarily in the VHF and
           alent of rain clutter, is  discussed separately, although its  low UHF bands and can take either of two forms. Discrete
           model parameters are similar to those of atmospheric clutter.  echoes, observed at night, are extended vertically at a specific
           When a meteorological radar is considered, the precipitation  range, while diffuse echoes are observed during daylight and
           actually constitutes the target, and the RCS calculations will  are extended horizontally along the E-layer. Both types have
           yield target, rather than clutter, RCS. However, the following  the fluctuating characteristics of complex targets and are dis-
           discussion applies the term clutter without regard to the radar  placed and spread in velocity. DKB
           objective.                                           Ref.: Skolnik (1962), pp. 621–624.
               The RCS of this type of clutter is calculated using the
                                                                Bistatic clutter is clutter illuminated from the direction of the
           volume of the clutter cell V  and the volume reflectivity h v  transmitter and scattering in a different direction to a receiver.
                                  c
           (see  volume clutter). The reflectivity  of precipitation
                                                                The bistatic angle is defined as the angle between the trans-
           depends on radar wavelength and the dielectric constant of
                                                                mitting and receiving paths, varying from zero for the mono-
           the precipitation, according to the relationship
                                                                static radar to  p for inline  forward scattering.  The bistatic
                                   5
                                  p   2                         surface or volume reflectivity at small bistatic angles for clut-
                             h =  ----- K Z
                              v    4                            ter composed of scattering elements smaller than one wave-
                                  l
                                                                length is approximately the same as  the monostatic
                                          2
                                                   2
           where l is radar wavelength, K = (m - 1) / (m + 2) is the
                                                                reflectivity. Except at angles  near forward  scatter,  bistatic
           refractive index factor), m is the complex index of refraction,
                                                                clutter  reflectivity can be approximated  by the monostatic
           and Z is the average value of the sixth power of droplet diam-  reflectivity at  the bisector of the  bistatic angle. For  surface
                                                        2
           eter (called the radar reflectivity factor). Values of |K|  are
                                                                clutter in a vertical plane containing the two paths, bistatic
           near 0.93 for raindrops and 0.2 for ice crystals and snow. A  reflectivity can be evaluated (Barton, 1985) as
                                               3
                                            6
           typical model giving a value for Z in mm /m is
                                                                                         1
                                      b                                         0      æ y +  y 2 ö  0
                                                                                        ------------------- +
                                 Z =  ar                                       s =  gsin è  2  ø  s f
                                                                                b
           where a and b are empirically determined constants and r is
                                                                where y  and y  are the grazing angles of the two paths, and
                                                                             2
                                                                       1
           the  precipitation rate. Values used in this relationship  are
                                                                                                  2
           given below for different types  of  precipitation.  Note that      0  æ r 2  æ  ( y +  y )ö
                                                                                             1
                                                                                                 2
                                                                                    0 ö
                                                                             s =   ----- exp – ç  --------------------------- ÷
           these values, expressed in the conventional radar meteorolog-       f  è b ø  è    4b 2  ø
                                                                                    0
           ical units, must be multiplied by 10 - 18  to find the reflectivity                  0
               2
                  3
           in m /m . The result, when using values of a and b predicting  is the specular  reflectivity for  a surface having reflection
                    3
                  6
           z in mm /m , is                                      coefficient r  and rms slope b / 2  .  DKB
                                                                          0
                                                                                        0
                            5                                   Ref.: Barton, D. K., “Land Clutter Models for Radar Design and Analysis,”
                           p   2     – 18  b  2  3
                                         ×
                      h =  ----- K × a 10  r   m ¤ m               Proc. IEEE 73, no. 2, Feb. 1985, pp. 198–204; Willis (1991), Ch. 9;
                                   ×
                        v   4
                           l                                       Nathanson (1991), pp. 342–349.
                                                                chaff clutter (see CHAFF.)
           (See also  ANGEL ECHO,  aurora clutter, cloud clutter,
           rain clutter, snow clutter.) DKB                     Cloud clutter at microwave and lower frequencies is usually
                                                                produced by precipitation droplets, although these may  be
           Ref.: Atlas (1964), pp. 371–374; Bogush (1989), p. 30; Sauvageot (1992),
              pp. 111–122.                                      suspended by updrafts, producing no precipitation at the sur-
                                                                face. In millimeter-wave bands, droplet sizes normally asso-
           Clutter attenuation (CA) is defined as the ratio of processor
                                                                ciated with nonprecipitating clouds are more detectable. The
           input clutter-to-noise ratio (C/N)  to output ratio (C/N) . In a  reflectivity for the  average  cloud conditions is shown  in
                                                       o
                                      i
           pulsed doppler processor, the input ratio is defined for a filter
                                                                Fig. C17, as a function of water droplet density, for different
           centered on the clutter doppler frequency, and the output ratio
                                                                radar bands.
           for a filter centered on the target doppler frequency. Hence,
                                                                    The  reflectivity as a function of  cloud  density is most
           for pulsed doppler radar, CA will vary with target velocity.
                                                                conveniently expressed in terms of the parameter Z, the sum-
           For MTI radar, the definition given above implies normaliza-
                                                                mation of the sixth power of droplet diameters  within one
           tion to the noise gain of the processor. An older definition of
                                                                cubic meter of the cloud (see atmospheric clutter), but the
           CA in MTI radar using a delay-line canceler is “the ratio of
                                                                usual relationships of Z with precipitation rate are invalidated
           clutter power  at the canceler input  to clutter residue at the
                                                                by updrafts. Instead, a relationship with condensed water den-
           canceler output, normalized to the attenuation  for a single    3
                                                                sity, M in g/m , may be used:
           pulse  passing through  the unprocessed  channel of the can-      2
                                                                    Z = 0.048M  (average clouds)
           celer.” (See also MTI.) DKB                                     2
                                                                    Z = 8.2M  (advection fog)
           Ref.: Barton (1988), p. 254; Schleher (1991), p. 108; IEEE (1993), p. 157.  1.96
                                                                    Z = 391M   (cumulus at onset of rain)
                                                                These may be compared with
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