Page 208 - Radar Technology Encyclopedia
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frequency agility                                                    frequency, critical (ionospheric)  198



           to spread the available  energy across a wider bandwidth,  well as other parameters commonly used to describe tuning
           thereby decreasing the jamming energy density (W/Hz). PCH  systems.
           Ref.: Skolnik (1990), p. 9.17.                           Automatic frequency control using frequency and phase
                                                                uses two feedback loops, providing both frequency and phase
           Angular frequency is frequency  expressed in radians per
                                                                tuning. An automatic frequency-phase control  system con-
           second, equal to the frequency in hertz multiplied by 2p. PCH
                                                                tains both a frequency detector and a phase detector. In com-
           Ref.: Van Nostrand (1983), p. 1,276.
                                                                parison with a phase-locked loop, a frequency-phase loop is
           Automatic frequency control (AFC) is the automatic main-  able to provide a wide capture band, the width of which is
           tenance of signal frequencies within the various stages of a  determined by the system’s frequency channel. The width of
           receiver. Absolute AFC  maintains a  constant absolute fre-  the lock-on band is determined by the phase channel.
           quency, while difference AFC maintains a constant difference  Automatic frequency control with a PLL is a form of
           between the signal frequency and a local oscillator. An AFC  automatic frequency control in which a phase detector is used
           system comprises a discriminator which determines the mag-  to determine the magnitude and sign of the frequency differ-
           nitude and  sign  of required tuning  adjustment, a  filter that  ence between an input signal and a reference. The reference
           limits the bandwidth of  the  adjustment, and a controller to  signal generated by a local reference oscillator is presented to
           vary the frequency of the local oscillator.          the controlling input of the phase detector. There is no resid-
               AFC systems may be based on frequency or phase loops.  ual mistuning in a phase-locked loop, as there is in a fre-
           A frequency feedback system uses a frequency detector and  quency-feedback AFC system. This  makes phase-locked
           has a  steady-state residual mistuning. A phase-locked  loop  loops suitable for use in coherent radar receivers.
           (PLL) uses a phase detector and provides exact tuning.   The use of digital circuitry increases the accuracy, reli-
               AFC systems in pulsed radars may also be categorized as  ability, and stability and permits  automatic  transitions
           either fast or slow, with the former providing tuning adjust-  between the search and lock modes. IAM
           ments in a time shorter than the pulse duration, while the lat-  Ref.: Sokolov (1984), pp. 170–174; Skolnik (1980), p. 157; Neri (1991),
           ter adjusts the tuning over several pulse repetition intervals.  p. 142; Morris (1988), p. 257.
               Another differentiating feature is the type of tuning con-
                                                                The beat frequency is formed when two ac signals of differ-
           trol. An electronic control system uses a voltage-controlled
                                                                ent frequencies are combined to form a third signal whose
           oscillator,  klystron,  traveling-wave tube,  IMPATT diode
                                                                frequency is equal to the difference between the frequencies
           oscillator, or  Gunn-diode  oscillator, and provides fast
                                                                of the  two original signals,  the “beat frequency.” Beat  fre-
           response but a narrow tuning band. The tuning loop or cavity
                                                                quencies can be produced by passing the sum of the two sig-
           may also be adjusted mechanically, in which case the AFC
                                                                nals  through a nonlinear circuit, such as a  rectifier, or by
           system provides a wide tuning band at the expense of slow
                                                                mixing the two signals, a process called heterodyning.
           response. The  oscillator may  also be adjusted  thermally,  or
                                                                    The doppler beat frequency is the frequency generated by
           with a combination of  electronic,  mechanical, and  thermal
                                                                mixing a doppler-shifted echo with the transmitted carrier fre-
           means.
                                                                quency or other reference signal. In a coherent MTI or dop-
               An AFC system may operate in two modes: search mode,
                                                                pler  system, it  is  equal  to the  doppler frequency shift. In a
           in which the local oscillator frequency is controlled by the
                                                                noncoherent MTI, the reference signal may originate in mov-
           search program, and track (locked) mode. Not all AFC sys-
                                                                ing clutter, and the beat frequency will then be the difference
           tems provide the search mode.
                                                                in doppler shifts  of the target  and the clutter, removing the
               The performance of an AFC system is characterized by
                                                                first-order effect of radar platform velocity. PCH
           the width of its lock-on band (the band within which the sys-
                                                                Ref.: Stimson (1983), p. 595.
           tem responds to slow changes in the input frequency differ-
           ence), the capture band (the band within which the system can  Combination frequencies are the frequencies of mixer prod-
           acquire the signal frequency, with rapidly-changing mistun-  ucts defined by the expression
           ing), and the duration of the tuning process.                           f  = nf  + mf 2
                                                                                        1
                                                                                    k
               Automatic frequency control systems are implemented in  where n, m are integers; f and f  are the frequencies of inter-
                                                                                           2
                                                                                     1
           analog or digital circuitry, or a combination, depending upon  acting oscillations. For example,  in  a superheterodyne
           the requirements for accuracy, rapid response and reliability.  receiver, the difference combination frequency f  - f , where
                                                                                                          lo
                                                                                                       s
               Automatic frequency  control with frequency feedback  f is  the signal frequency and  f  is the local  oscillator fre-
                                                                 s
                                                                                          lo
           uses a frequency detector to determine the  magnitude and  quency, is typically used as an intermediate frequency.
           sign of the frequency difference between an input signal and a  Ref.: Skolnik (1970), p. 5.7; Popov (1980), p. 182.
           reference. When operating in steady state, there is a residual  The  critical (ionospheric) frequency is the  highest fre-
           mistuning, which results in AFC being used mainly in non-  quency that will be reflected, at vertical incidence, by the ion-
           coherent pulsed radars. The performance of an AFC system is  osphere. For electron density N  per m 3
                                                                                         e
           characterized by the autotuning coefficient, which is the ratio
           of the initial frequency difference to the steady state value, as         f =  9 N e
                                                                                     c
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