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detection, binary                                                               detection, coherent  115



           whether hypothesis H  or H  is true. Such a problem typically  advantage of the correlation detector is that it is invariant to
                                 1
                            0
           is termed general binary detection, and if s (t) is equal to 0  time delay, while the disadvantage is that two channels and
                                               0
           the problem is called simple binary detection. In this sense,  complicated integrators using tapped delay lines are required.
           binary detection is opposed to multialternative detection, and  The filter detector consists of a filter matched to the sin-
           circuitry implementing this type of detection is  termed a  gle-pulse waveform, a coherent integrator, an envelope detec-
           binary detector. Sometimes that term is used to  denote a  tor, and a threshold (Fig. D10).
           detector whose input process is binary. SAL
           Ref.: DiFranco (1980), p. 263; Barkat (1991), pp. 344–370.           Phase   Coherent  Z 1 1
                                                                               detector  integrator
           Blob detection is the term sometimes applied to radars that                                          d 1
                                                                                           )
                                                                                          t
                                                                 y(t)  Matched      u(t) = A cos( w   + f  2  2
                                                                                           i
                                                                                         0
           measure only the location of target in range and angle (i.e.,  filter    u(t) = A sin( w   + f  Z   + Z 2  Threshold
                                                                                                 1
                                                                                         t
                                                                                           )
                                                                                         0  i
           they recognize a target only as a “blob” located somewhere in                                        d 0
                                                                                Phase   Coherent
           space and do not extract any additional information such as         detector  integrator  Z
           the target type or RCS). SAL                                                         2
           Ref.: Skolnik (1980), p. 434.
                                                                  Figure D10 Filter detector.
           Closed-loop automatic detection is used in an ESM system
           where information already learned by the detector is deleted  In the correlation-filter detector, the received and refer-
           from the flow of new pulses but is used to improve the infor-  ence signals pass to a multiplier, the output of which passes
           mation about detected emitters (Fig. D8). SAL        through a low-pass filter to the envelope detector and thresh-
           Ref.: Neri (1991), p. 312.                           old (Fig. D11). The advantage of the correlation-filter detec-
                                                                tor is the absence of the I and Q channels and complicated
                              Histograms                        integrators, but it is sensitive to the time delay of the signal.
                                Cell 1                          When this delay is unknown a priori, multichannel detection
                                                                is required.
                                             New
                                          emitters
                                Cell 2                                                                        d
               Remaining                 detection              y(t)                   Z                      1
                  pulses                             Open             Multiplier  Matched  Envelope   Threshold
                                                                                  filter
                                                      new                                  detector
                                Cell N             tracking                                                   d 0
                                                   channels                u    (t)
            From                                                            ref
            front                                       Track
             end                     Updating of parameters    file  Figure D11 Correlation-filter detector.
                    Compare
                           Matching     and measurements
                             pulses    Tracking channels            Ideal coherent integration requires that the signal phase
                                                                not change from pulse to pulse during reception of a pulse
             Figure D8 Closed-loop automatic detection (after Neri, 1991,
                                                                train. In this case, if there are m pulses in a train, the resultant
             Fig. 4.28, p. 312).
                                                                amplitude of a received signal is  m times that  for  a single
                                                                                                2
           Coherent detection is  based on  addition  of all  received  pulse, increasing the signal power by m . Receiver noise has
           pulses before envelope detection [demodulation]. This is the  random amplitude and  phase from one pulse to the  next,
           most efficient technique for combining received signal infor-  resulting in an average noise power m times that of a single
                                                                                                               2
           mation but is also the most complicated. (See  INTEGRA-  pulse, so the signal-to-noise ratio increases by the factor m /m
           TION,   coherent.)  The   basic  coherent  detection  = m. It is impossible to achieve ideal coherent integration in
           configurations are the correlation detector, the filter detector,  practice, even when the radar system is completely stable,
           and the correlation-filter detector. In the correlation detector,  because of the phase changes resulting from doppler effect on
           the correlation integral is evaluated, typically using two chan-  the target. Since target velocity is unknown a priori, channels
           nels (Fig. D9). In this case the output does not depend on the  must be provided matched to all doppler frequencies, leading
           random initial phase of the signal. The signals form the output  to the pulsed-doppler radar implementation. If m pulses are
                                                                integrated, there will be m parallel doppler filters, centered at
                     Matched filter                       d 1   ±f /2m, where f   is  the pulse repetition frequency. The pro-
                                                                             r
                                                                  r
                Matched     Coherent   Envelope   Threshold     cessing is then matched only for doppler frequencies at the
                 filter 1   integrator  detector                center of each filter, and a filter straddling loss is introduced
                                                          d 0
                                                                for all other frequencies.
             Figure D9 Correlation detector.                        In  MTI radar using delay-line  cancelers two or more
                                                                pulses are added coherently with 180° between adjacent
           of the matched filter are combined with two reference signals  pulses, producing an optimum response at doppler frequen-
           offset from one another by 90° in phase detectors. The coher-  cies midway between multiples  of  f . While  this produces
                                                                                               r
           ent integrators compute the correlation integrals  z  and  z ,  coherent  integration gain at those frequencies, the  average
                                                           2
                                                     1
           which  are summed  before  passing to the  threshold. The  response for all targets is  equal to the  noise response, and
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