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221   integration, coherent [predetection]                                       integrator, multichannel



           integration, in that it occurs in the radar receiver before the  order of declining integration efficiency and declining com-
           second (envelope) detector. PCH                      plexity of implementation, in which the information from  n
           Ref.: Barton (1991), pp. 4–11.                       pulses or samples  may be processed to improve the radar
                                                                detection  performance: (1) coherent integration,  (2) nonco-
           Continuous integration is an n-pulse integration process in
                                                                herent (or video) integration, (3) binary integration, and (4)
           which a new integrated value  is formed after reception  of
                                                                cumulative integration.  Figure I6 compares the  integration
           each pulse. The oldest pulse is discarded in moving-window
           integration, while in recursive integrators the weighting of the
           older pulses is reduced by the  weight  assigned  to  the new
           pulse. The process is the opposite of batch integration (inte-
           grate-and-dump), in which a given group of n pulses is inte-
           grated once and  then discarded. Continuous  integration
           avoids the angle straddling loss characterizing batch integra-
           tion with a continuously scanning beam. DKB
           Ref.: Skolnik (1980), p. 390.
           Cumulative integration  refers to the process in which a
           detection decision with probability P  is made on each pulse,
                                         1
           resulting in a cumulative  detection probability P   after  n
                                                     c
           pulses:
                                          n
                             P =  1 –  ( 1 –  P )                 Figure I6 Comparison of detectability factors for four methods
                              c          1
                                                                  of integration (from Barton, 1988, Fig. 2.3.3, p. 75).
           This process gives far less gain than other video integration
           techniques (see integration gain), but may represent the only  efficiency of each of the four methods in terms of the result-
           option if the pulses are separated in time by an interval that  ant detectability factor (or SNR) required as a function of n
           permits targets to move from one resolution cell to the next,  for the conditions noted. PCH
           as in scan-to-scan integration. DKB
                                                                Ref.: Barton (1991), pp. 4–14.
           Ref.: Barton (1988), p. 74.
                                                                In-phase/quadrature channel integration is the integration
           A delay-line integrator is a continuous integrator in which  of coherent pulse train after synchronous detection in  two
           pulses are recirculated through a delay line, the recirculation  channels by phase detectors with the reference voltages pro-
           loop having a gain < 1 to preserve stability. The resulting  portional to cos2pf t and sin2pf t; that is, shifted in phase by
                                                                               0
                                                                                          0
           weighting function is approximately exponential (see analog  p/2, re f  is carrier frequency. Each channel has an inte-
                                                                    wh
                                                                      e
                                                                          0
           integrator). Common configurations include the  recirculat-  grator and a squaring device.  After the  summing these two
           ing integrator and the tapped-delay-line integrator. DKB  channel and extracting the square root from the sum, the sig-
           Ref.: Skolnik (1980), p. 390.                        nal passes to thresholding unit. The advantage of such an inte-
           A digital integrator is one in which the signal is converted to  gration is that the data about the phase are not lost, but video
           digital  form before  being  processed in digital  memory,  (baseband) pulses are integrated,  instead of RF frequency
           weighting, and summing circuits. Video integrators of the  pulses, simplifying the design of the optimum receiver. AIL
           delay-line (recursive) type pass the digitized signal through a  Ref.: Finkel’shteyn (1983), pp. 237–239; Schleher (1991), p. 608.
           single shift register, recirculating the output with a loop gain  A  moving-window integrator processes the incoming sig-
           < 1 as with analog delay-line integrators. The digital imple-  nals continuously, dropping the oldest return when adding the
           mentation has the advantage of inherent gain stability, permit-  most recent. This is contrasted to the batch integrator. DKB
           ting gains near unity (many integrated pulses) to be realized.
                                                                A multichannel integrator is one used in multichannel radar.
           Batch-process integrators may also use a single shift register
                                                                Because multichannel coherent integrator design is compli-
           as a memory, accumulating n pulses with unity weights and
                                                                cated, noncoherent integration is employed, making it possi-
           clearing the register after each batch. Digital integrators of the
                                                                ble to reduce the number of channels in the integrator and to
           moving-window type use  n shift registers to  store outputs
                                                                reduce the required phase stability. When the number of inte-
           from n pulse repetition intervals, forming sums in each range
                                                                grated pulses is not too large (less than 20), amplitude recir-
           cell during each interval. DKB
                                                                culators with delay lines in the positive feedback circuit with
           exponential integrator (see recirculator integrator).  feedback coefficient b can be efficient (Fig. I7). This integra-
                                                                tor has a bank of doppler filters (F .... F ), n detectors (D) and
                                                                                           1
                                                                                                n
           feedback integrator (see delay-line integrator).
                                                                switches, and a common noncoherent integration unit (adder
           Integration gain is the net improvement in received signal-  S,  modulator  M, delay line LN, an amplifier with  positive
           to-noise ratio (SNR) due to the addition of independent sam-  feedback coefficient b, and detector D) for all channels. AIL
           ples of signal and noise available during the radar observation  Ref.: Lukoshkin (1983), pp. 284–287; Nitzberg (1992), p. 240.
           time (time-on-target). There are four distinct ways, listed in
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