Page 175 - Radar Technology Encyclopedia
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165   error, beem-steering                                                               error, geodetic



           where q  is the half-power beamwidth, G (q) is the normal-
                                             d
                  3
           ized pattern derivative, or monopulse pattern for the scan                 q 3 ö c ö  s c
                                                                                          D
                                                                                         æ
           angle, and  G  is the gain for uniform illumination of  the           s =  æ ------ -----  ------
                                                                                         è
                                                                                  q
                                                                                      k è
                                                                                         ø S ø
                      0
                                                                                              2s
           antenna aperture.                                                           m
                                                                where q  is the half-power beamwidth, k  is the monopulse
               The  average angular error for phase-shift errors  s f  3                          m
           radian, which are independent over T elements in an array, is  difference slope,  S is the  on-axis  sum pattern voltage
                                                                response for the intended polarization, s is the target RCS in
                                    q s
                                     3 f
                               s =  ------------------          the intended polarization, and s  that in the orthogonal polar-
                                                                                          c
                                q
                                   1.61 T                       ization.
           DKB                                                      While the ratio s /s is usually < 1 for reflective targets,
                                                                                  c
           Ref.: Barton (1969), pp. 196–197; Barton (1988), p. 171.  the presence of a  jammer may greatly increase this ratio,
                                                                causing large errors or breaking the track. DKB
           Bias error is  the systematic component  of  error, which is
           constant in time or which varies slowly, preventing its reduc-  Ref.: Barton (1988), pp. 415–416.
           tion by averaging of sequential readings (smoothing) of the  Diffraction error is a component of multipath error that is
           radar output. DKB                                    the result of signal components arriving at the radar antenna
                                                                via  diffraction  from  an obstacle underlying the target-radar
           Boresight error is the displacement of the antenna electrical
                                                                path. DKB
           axis, or monopulse  null axis, from the mechanical axis to
           which the output data are referred. DKB              Doppler (measurement) error is the error in radar measure-
                                                                ment of target doppler (frequency) shift. The many sources of
           Clutter error  refers to  the radar tracking error caused by
                                                                doppler  error may be divided  into tracking errors, which
           presence of uncanceled clutter at the output of the receiver
                                                                cause the radar tracking filter (velocity gate) to depart from
           and signal processor.  When random  clutter sources  extend
                                                                the centroid of the target echo spectrum, translation errors,
           across the radar beam, producing uncanceled clutter of power
                                                                which cause the frequency of the filter or tracking oscillator
           C  in a monopulse difference channel, and C in the sum chan-
            D
           nel, the resulting angular clutter error component is  to be reported incorrectly, and propagation errors. The several
                                                                components of each type of error may further be divided into
                                 q 3 æ C D ö æ  C ö             radar-dependent and target-dependent classes, and into bias
                             s =  ------  ------------ 1 +  ----
                              q  k   è 2Sn ø è  S ø             and  noise components,  as  shown for a tracking radar in
                                  m     c
                                                                Table E5. DKB
           where q is the half-power beamwidth, k  is the monopulse                  Table E5
                  3
                                             m
           difference slope, S is the signal power in the sum channel, and     Sources of Doppler Error
           n   is the number of independent samples  of S/C  averaged
                                                   D
            c
           during the tracking time constant. If clutter is concentrated at  Error Class  Bias Components  Noise Components
           a particular region in the difference pattern of the antenna,  Radar-   Discriminator zero   Thermal noise; multi-
           producing correlation between  a  component  C  in the  sum  dependent   setting and drift;   path; clutter; jamming;
                                                  c
           channel and C  in the difference channel, an additional bias  tracking   gradient of receiver   variation in receiver
                       Dc
           error may appear:                                     errors      delay             delay
                                                                 Radar-      Transmitting oscilla-  Range-doppler cou-
                                  q 3 C  × C
                                       Dc
                             s  =  ------ -------------------- c  dependent   tor (velocity of light)  pling; VCO frequency
                              q2  k      2
                                   m   2S                        translation                   measurement; radar fre-
                                                                 errors                        quency stability
           This error is not reducing  by averaging over successive
                                                                 Target-     Dynamic lag       Glint (target rotation);
           pulses. DKB
                                                                 dependent                     target modulation
           Ref.: Barton (1988), pp. 531–533.
                                                                 tracking
           Collimation error refers  to  the boresight error  component  errors
           resulting from failure to perform initial alignment of the elec-  Propagation   Gradient of refraction   Irregularities in refrac-
           trical and mechanical axes of the antenna. DKB        errors      of troposphere and   tion of troposphere and
                                                                             ionosphere        ionosphere
           Cross-polarization error is  the  boresight error component
           resulting from reception of a signal component whose polar-  Ref.: Barton (1988), pp. 551–552.
           ization is orthogonal to that of the intended antenna pattern.
                                                                dynamic error (see lag error).
           The antenna is collimated on a signal having the intended
           polarization, with response D in the difference channel going  fluctuation error (see scintillation error).
           to zero at the axis. A component received with the orthogonal
                                                                Geodetic error refers to the error in target position resulting
           polarization is passed to the receiver as a result of undesired
                                                                from discrepancies between the model of the geoid (the aver-
           antenna response  D  in the  antenna  difference pattern. The  age  earth’s surface) and the actual average surface, or
                           c
           resulting cross-polarization error is
                                                                between models used at the radar and in systems using radar
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