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m/s and T = 2 ms, then M  = 3.75 pulses. A typical DPCA implementation will
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               round M  to the nearest integer for coarse alignment of the two data streams and
                         s
               then  use  adaptive  processing  as  described  next  to  achieve  good  clutter
               cancellation.


               5.7.2   Adaptive DPCA
               While  conventional  bandlimited  interpolation  could  be  used  to  implement
               fractional-PRI  timing  adjustments,  in  practice  there  will  also  be  mismatches

               between  channels  that  will  make  it  impossible  to  achieve  high  cancellation
               ratios  even  if  the  time  alignment  is  perfect.  Adaptive  processing  can  be
               combined with the basic DPCA cancellation to minimize the clutter residue at
               the  processor  output  and  therefore  maximize  the  improvement  factor.  The
               following  discussion  of  adaptive  DPCA  is  modeled  after  the  “suboptimum
               matched filter algorithm” in Shaw and McAulay (1983). This algorithm assumes
               that  an  integer  PRI  delay  of  one  channel  with  respect  to  the  other  is  used  to

               achieve coarse time alignment of the two-phase center channels to be combined.
               Each received signal channel is then divided into Doppler bins using a DFT.
               MTI  cancellation  is  performed  independently  in  each  subband,  allowing  the
               adaptive cancellation weight to be optimized separately for each Doppler bin
               and improving overall performance.
                     The  vector  analysis  approach  will  be  used  to  model  the  signals  and

               develop the adaptive filtering. Transmit a CPI of M + M  pulses and collect L
                                                                                    s
               range bins of data for each pulse and each of the N = 2 phase centers, resulting
               in an L × (M + M ) × 2 datacube y[l, m, n]. Advance the aft channel slow-time
                                    s
               data (n = 1) to coarse-align it with the fore channel (n = 0) in each range bin and
               retain only the overlapped slow-time samples to obtain the L × M × 2 datacube








                                                                                                     (5.135)

               where y  [l, m] is the “fore” channel data plane, y  [l, m] is the “aft” channel
                         f
                                                                            a
               data plane, and the dotted horizontal line represents vertical concatenation of
               datacube planes. The pulse number (slow time) index m is now in the range 0 ≤

               m ≤ M – 1. The separation of the datacube into phase center planes is done for
               convenience  because  the  DPCA  filter  will  apply  weighting  in  that  dimension
               only. Now take the K-point DFT of the data in each range bin to get the L × K ×
               2 range-Doppler datacube
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