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FUNCTION, random                                                               gain control, manual  204



               These definitions show that determining the mean value  where there is no overload of the receiver, is applied practi-
           and variance of a random function requires specification only  cally instantaneously to the controlled stages of the receiver.
           of the first-order pdf,  f (x ,x ,t ,t ). A further simplification  Such control is practically noninertial.
                              1 1 2 1 2
           can be achieved if one assumes that the random function x(t)  In terms of speed we distinguish between fast (or low-
           is a stationary random process. In this case the mean value  inertial) and inertial systems of automatic gain control. In fast
                            2
           m , and variance, s , become consistent values, invariant to  systems, the time constant is comparable with the duration of
             x
                           x
           the time shift t = |t  - t | and the correlation function depends  the signal, while in inertial ones it significantly exceeds that.
                              2
                          1
           only on the parameter t :                            Inertial systems of automatic gain control the gain depending
                              2      2                          on the value of the signals from one selected target through
                                     ;
                                 =
                                               =
                  m t () m   s t () s    K t t ,(  ) K t()
                       =
                           ;
                    x     x   x      x   x  1  2  x
                                                                strobing of signals in the receiver. Such systems can be used
               Since the basic task of any radar is target detection and  in fire-control and missile-guidance radars.
           measurement in a background of random interference (noise,  Depending on the type of controlled  stages, automatic
           clutter, jamming), the concept of random functions is funda-  gain control systems are divided into “forward” and “back”
           mental to the theory of radar operation. It is widely used in  systems. In the former, the  gain  coefficient of the low-fre-
           the theory of radar detection, measurement, recognition, sig-  quency  amplification  stages following the detector in the
           nal processing, and so forth. SAL                    absence of feedback is controlled. A “back” system provides
           Ref.: Barkat (1991), Ch. 2.                          great depth  of adjustment  as a result of control of the gain
                                                                coefficient of preceding stages of intermediate frequency.
           FUSION (see DATA fusion).
                                                                Drawbacks of such adjustment include some inertia, so some
           FUZE, radar. A radar fuze is a noncontact fuse mounted on a  time is required to restore the sensitivity of the receiver after
           missile (bomb, shell) based on  compact, simple radar and  exposure to strong interference. In addition, such control does
           ensuring the explosion of missile warhead at the required dis-  not  protect the receiving  circuit from saturation by pulsed
           tance from the target, using the information in radar returns.  interference. For purposes of stabilization of false alarms with
           The basic proximity fuze is a CW homodyne device in which  an  increase in the  intensity of noise at  the input of the
           commonly a  single element is used as both oscillator and  receiver, noise AGC is used. The regulating voltage is formed
           mixer-detector. Typically, radar fuzes employ solid-state tech-  on the basis of smoothing of the noise voltage in the range at
           nology and they have to meet basic  requirements of small  which the appearance of useful signals is eliminated. Such an
           size, low cost, and reliability under high acceleration. SAL  automatic gain control with feedback is the most widely used
           Ref.: Skolnik (1990), p. 14.20.                      in practically all types of radars.
                                                                    In search radars, gain control may be used independently
                                                                of the value or presence of received signals. The gain is var-
                                                                ied as a function of time (generated in accordance with a spe-
                                   G                            cific time program) and assures uniform amplification of
                                                                signals reflected from targets which are at different distances
           GAIN is “the increase in signal power in transmission from  from the radar. This is called  sensitivity time control. (See
           one point to another under stated conditions.” Gain is often  SENSITIVITY.) IAM
           expressed in decibels,                               Ref.: Skolnik (1970), p. 5.19; Popov (1980), pp. 14, 70, 222.
                                   P 2      V 2
                         G dB  =  10log ------ =  20log ------  diversity gain (see DIVERSITY).
                                   P 1      V  1
                                                                Integration gain  is that obtained  from pulse  integration,
           where (P /P ) is power gain  a (V /V ) is voltage gain in  defined as a ratio of detectability factor of a single pulse to
                                           1
                                        2
                     1
                   2
           dimensionless units. SAL                             that for each of n pulses. (See INTEGRATION gain). SAL
           Ref.: Johnston (1979), p. 61.                        Ref.: Barton (1989), p. 71.
           Automatic  gain control (AGC)  is a circuit that maintains  Inverse gain refers to a jamming technique providing decep-
           output signals of a receiver at a given level, without distortion  tion or  noise jamming with amplitude modulation in phase
           of their shape, regardless of significant changes in amplitude  opposition to that generated by the scanning radar beam. In
           of the input signals. These changes can occur as a result of  the simplest case the modulation is of the on-off type with the
           change in the distance between the  radar  and the  target,  or  off period coinciding with  the maximum radar echo signal
           from fading of the signal. The operation of AGC is based on a  (Fig. G1). SAL
           change in the gain coefficient of the receiver depending on
                                                                Ref.: Neri (1991), p. 380.
           the value of the output signals under the action of a regulating
                                                                Manual gain control (MGC) is the mode in which the gain
           voltage which is generated by the AGC system as a result of
                                                                of a receiver is controlled by the radar operator to make the
           amplitude detection of output signals. The voltage of strong
                                                                dynamic range  of the received  signals match the  dynamic
           signals  of powerful interference  (instantaneous gain adjust-
                                                                range of the display. SAL
           ment) may be used as the regulating voltage. In this case, a
           bias voltage,  which  moves the operating point to a  region  Ref.: Currie (1987), p. 489.
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