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integration, multichannel                                                          integration time  222


















             Figure I7 Multichannel recirculating integrator with time mul-
             tiplexing of channels.
           Noncoherent [video, or postdetection] integration occurs
           when  n signal  samples  or  pulses are added after  passing
           through an envelope detector which removes any phase rela-
                                                                  Figure I9  Integration loss vs. number of  pulses  integrated
           tionships. The integrated SNR  is increased by a factor
                                                                  after envelope detection (from Barton 1988, Fig. 2.3.2, p. 72).
           approaching n, but decreased by a detector loss due to a loss
           in information for target  detection purposes. As  the signal
           input to the envelope detector decreases, the small signal sup-
           pression loss increases as shown in Fig. I8, and further video                               Output
                                                                             Adder
           integration cannot restore the SNR represented by the total
           signal energy ratio. As  a result, there is a requirement for
           more energy per pulse, which can be considered as integra-
           tion loss, which is the ratio of total signal energy required of
                                                                                   Amplifier
           the n-pulse train to that which would have been required if a                      Delay line
                                                                                    b < 1
           single  pulse  had been transmitted  and processed, or if a
           matched filter for the n-pulse train had been used.
                                                                  Figure I10 Recirculator integrator.

                                                                control unit is employed. A digital recirculator in every cycle
                                                                evaluates the sum:,
                                                                                       ¥
                                                                                          j
                                                                                       å  b y j
                                                                                      j =  0
                                                                where  y  is quantized  input voltage at  the moments  t  - jT,
                                                                       j
                                                                where T is the delay interval. The response of a circulator to
                                                                the unity pulse is a grid function with an exponential decreas-
                                                                ing envelope. Consequently, a recirculator is also termed an
                                                                exponential or feedback integrator. IAM
                                                                Ref.: Dulevich (1978), pp. 157, 171; Skolnik (1990), pp. 8.5–8.8.
              Figure I8 Envelope  detector loss vs.  SNR (from Barton,
                                                                Integration time, also referred to as  observation time or
              1988, Fig. 2.2.4, p. 64).
                                                                time-on-target, is the time during which the target is illumi-
                                                                nated by the radar on each scan, that is
           Figure I9 gives the magnitude of this integration loss L  ver-
                                                        i
           sus the  number of pulse  n,  noncoherently integrated, as a               q 3az  t y b
                                                                                             s
           function of the detectability factor D (1) for a steady target.        t =  ---------- =  ----------
                                                                                  o
                                                                                             y
                                                                                       w
                                         0
                                                                                              s
                                                                                        s
           DKB
                                                                where q  is the 3-dB azimuth beamwidth of the radar, w  is
           Ref.: Barton (1988), pp. 69–76.                             3 az                                    s
                                                                the radar scan rate, t  is the radar frame time, y  is the radar’s
                                                                                s
                                                                                                      s
           predetection integration (see coherent integration).  solid angle of search (in steradians), and y  is the solid angle
                                                                                                  b
                                                                of the radar beam. For a scanning pulse radar, there will be
           A recirculator integrator is an integrator employing delay
                                                                n= t f pulses or samples available for integration during the
           units in a positive feedback circuit. It can be done of analog or  o r
                                                                time-on-target, where f  is the pulse repetition frequency. For
           digital configuration. An analog recirculator consists of an            r
                                                                a continuous-wave (CW) radar, or a coherent pulse radar, the
           adder and a delay line in a feedback circuit (Fig. I10). To pre-
                                                                coherent integration time is not the same as the time-on-target
           vent a self-oscillation mode, the feedback coefficient b is set
                                                                but is the integration time of the predetection filter, approxi-
           less then unity, or a feedback circuit regulated by a special
                                                                mately equal to the reciprocal of the filter bandwidth. Subse-
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