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cancellation, sidelobe (SLC)                                             canceler, single-delay(-line)  71



               A portion of the signal from the auxiliary antenna is  Implementation schemes  for sidelobe cancelers are  usually
           coherently subtracted from the main channel. The correlator  categorized as closed-loop techniques  (e.g., the  Howells-
           is used to look for a component of the main channel output,  Applebaum canceler) and open-loop (or direct solution) tech-
           which correlates with the output of the auxiliary channel, and  niques (e.g., the Gram-Schmidt canceler). The closed-loop
           the  weight  of  the coupling  from the auxiliary to the main  technique is simpler and less costly than the open-loop one,
           channel is changed until there is no longer any correlated out-  but the latter has better speed of convergence and stability.
           put. Then the combined pattern of the antennas has a null at  Recently a third group of methods (data-domain or voltage-
           the jammer location, which moves automatically as the main  domain methods) has been developed. They are similar to the
           antenna  scans its sidelobes  through  the jammer position  open-loop techniques but do not require  estimating and
           (Fig. C9). Two distinct ways of forming the auxiliary chan-  inverting the covariance matrix for data. SAL
           nels are called element space SLC and beam space SLC.  Ref.: IEEE (1993), p. 1217; Farina (1992), pp. 95–216; Nitzberg (1992),
                                                                   pp. 41–105.
                                                                The sidelobe canceler-blanker system is a combination of a
                                                                sidelobe blanker, for jamming of low duty factor, and a side-
                                                                lobe canceler, for jamming of high duty factor, using the same
                                                                auxiliary antenna and receiving preamplifier. A block dia-
                                                                gram of combined SLC-SLB system is shown in Fig. C10.
                                                                SAL
                                                                Ref.: Barton (1988), p. 369; (1991), p. 12-10; 172–189; Nitzberg (1992),
                                                                   pp. 46–53; Maksimov (1979), pp. 172–189; Cantafio (1989), p. 456.














              Figure C9  Patterns of radar antenna with sidelobe canceler
              (from Cantafio, 1989, p. 457).
               Sidelobe cancellation  with beam  space  implementation
           refers  to a way  of forming  the  auxiliary channel when  the
           auxiliary antenna (antennas) form a beam  (beams) in the
           direction of the individual jammers and the beam-formed out-
           puts are sent into individual receivers, where SLC auxiliary
           outputs are formed. The beam space SLC implementation   Figure C10 Combined sidelobe canceler and blanker (from
           perturbs the main antenna’s quiescent sidelobes less than does  Barton, 1988, Fig. 7.5.4, p. 371).
           an element space SLC, but its complexity and cost are higher.
               Sidelobe cancellation with  element space  implementa-  A single-delay(-line) canceler employs only one delay line
           tion refers to a way of forming the auxiliary channel when  (Fig. C11). Its improvement factor, for clutter centered in the
           individual elements or a cluster of elements are sent through a  notch, is given by the formula
           receiver, and, thereafter, this output forms an auxiliary chan-           f r  2    v b  2
                                                                                   æ
                                                                                             æ
           nel into whichever SLC scheme is implemented. SAL                  I =  2 ------------  ö  =  2 ------------  ö
                                                                              2
                                                                                    2ps ø
                                                                                             è
                                                                                              2ps ø
                                                                                   è
                                                                                       c         v
           Ref.: Fielding, J. G., et al., Radar-77, London, 25-28 Oct. 1977, pp. 212–217;
              Skolnik (1990), p. 9.11.
                                                                where f  is the pulse repetition frequency, s  is the rms clutter
                                                                      r
                                                                                                   c
           A sidelobe canceler is the device that employs one or more  spread in frequency, v  is the blind speed, and s  is the rms
                                                                                                        v
                                                                                  b
           auxiliary antennas and receivers to allow linear subtraction of
           interfering signals from the desired output if they are sensed  Input                      Output
           to originate in the sidelobes of the main antenna. The tech-
           nique uses the  same  antenna-and-receiver configuration as
                                                                                       Delay
           the sidelobe blanker, except that a gain-matching and -cancel-              line
           ing process takes place. A sidelobe canceler using more than
           one auxiliary channel is termed a multiple-sidelobe canceler.  Figure C11 Single-delay MTI canceler.
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