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173   EXCITER                                                                          FALSE ALARM



                                                                    3. Self-correcting  or intermittent failures, based on the
             Exciter        First transmit  Second transmit     nature of the time of operability disruption. A self-correcting
                               mixer         mixer
                                    600 MHz                     failure is a failure leading to a brief disruption of operability.
                       Waveform                     Power
                       generator                   amplifier    This failure  sometimes  is referred to as  a malfunction. An
                                                 transmitter  2,800 MHz
                60 MHz     540 MHz   2,200 MHz                  intermittent failure is a frequently occurring, self-correcting
              Crystal   Multiplier  Crystal  Multiplier  Duplexer
                           (x9)   osc XO     (x32)              failure of the identical nature.
              osc XO 1
                                     2
                                                                    4.  Explicit or implicit  failures,  based on presence  of
                                                                external signs. An explicit failure is a failure that is detected
                                      600 MHz
                      60 MHz
            Coherent                                  RF        immediately  when it occurs without use of meters. An
               video                              receiver
                   Product   Second receive  First receive      implicit failure is a hidden failure lacking external manifesta-
                  detector           mixer        mixer
                                                                tions  and that can  be detected  only by means  of the corre-
             Figure E21 Coherent-radar exciter (after Fink, 1982,   sponding measurements.
             Fig. 25.82, p. 25.72).                                 The number of failures per unit of time is referred to as
                                                                failure rate, while the average value of the time of operation
                                                                between failures is called mean-time-between-failures. Since
                                                                the process of failures in a radar is random and depends on
                                                                many factors, failure-free performance time is also random
                                   F                            and a series of distributions, the most widely used being the
                                                                Weibull, the exponential, and the Rayleigh distributions, are
                                                                used to describe it. AIL
           FADING is “the variation of radio field intensity caused by
           changes in the transmission medium, and transmission path  Ref.: Fink (1982), Ch. 28; Leonov (1991), p. 10.
           with time.” Typically random variations appear in the signal  Mean-time-between-failures (MTBF) is an expected oper-
           received via various transmission media, especially for propa-  ating time between failures. It is an indicator of failure-free
           gation via the troposphere or ionosphere at frequencies above  performance of repaired radar elements, units, assemblies,
           about 100 kHz. Usually two types of such variations are dis-  and the station as a whole, usually expressed in hours. AIL
           tinguished: power fading (or attenuation)  that  is associated  Ref.: Fink (1982), p. 28.4; Leonov (1991), p. 31.
           with comparatively large-scale changes in the medium, and
                                                                Mean-time-to-first-failure expected value of operating time
           variable-multipath or phase-interference fading.  In  radar,
                                                                until the first failure. Time-to-first-failure is an indicator of
           severe fading has a strong effect on the target detection per-
                                                                failure-free performance of unrepaired  radar elements  and
           formance. The readers who are interested in details can find
                                                                units and is expressed in hours. AIL
           many graphical results in Cantafio (1989), where the influ-
                                                                Ref.: Leonov (1991), p. 27.
           ence of various level of scintillation severity from no scintil-
           lation  to worst-case Rayleigh  fading  on  probability of  FALSE ALARM. A false alarm is “an erroneous radar target
           detection are cited. SAL                             detection decision caused by noise or other interfering signals
           Ref.: IEEE (1993), p. 476; Fink (1975), p. 18.70; Cantafio (1989), pp. 97–  exceeding the detection threshold.” (See also  DETEC-
              117.                                              TION.)  In general, it is an indication of the presence of a
                                                                radar  target when there is  no valid target.  False  alarms  are
           FAILURE. A failure is an event involving disruption of the
                                                                generated when thermal noise exceeds a preset threshold
           operability of a radar. The term failure must be understood to
                                                                level, by the presence of spurious signals (either internal to
           mean not only complete loss of radar operability, but also its
                                                                the radar receiver or from sources external to the radar), or by
           deterioration  due  to excursion of the value of parameters
                                                                equipment malfunction. A false alarm may be manifested as a
           beyond established tolerances. Failures are categorized as fol-
                                                                momentary blip on a cathode ray tube (CRT) display, a digital
           lows:
                                                                signal processor output, an audio signal, or by  all of these
               1. Sudden or gradual failures, based on the nature of the
                                                                means. The task of the radar designer is to establish the
           parameter change. A sudden failure is a failure characterized
                                                                threshold such that the radar target detection goals (expressed
           by a spasmodic change in one or several parameters. It arises
                                                                in terms of a specified detection range against a target of a
           randomly and unexpectedly, and cannot be corrected during
                                                                specified radar cross section, with a specified probability) can
           radar maintenance. A gradual failure is a failure characterized
                                                                be met with a signal-to-noise ratio (SNR) that is consistent
           by a gradual change in the values of one or several parame-
                                                                with the  capabilities of the  radar design.  If  the  detection
           ters.  Hence,  gradual failures can be forecast and  averted
                                                                threshold is set too high, there will be very few false alarms,
           through preventive maintenance.
                                                                but the SNR required will inhibit detection of valid targets. If
               2. Dependent  or independent failures, based on their
                                                                the threshold is set too low, the large number of false alarms
           interconnection. A dependent failure is a failure of an element
                                                                will mask detection of valid targets,  and scarce radar
           caused by the failure of another element. An independent fail-
                                                                resources (e.g., time) will be expended in investigating the
           ure is a failure of an element not caused by failures of other
                                                                false alarms. Solutions to  the false-alarm  problem involve
           elements but arising for other reasons.
                                                                implementation of constant false-alarm rate (CFAR) schemes
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