Page 209 - Radar Technology Encyclopedia
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199   frequency, critical (ionospheric)                                       frequency, intermediate (IF)



                                                          12
           where f  is in hertz. For typical daytime conditions, N  » 10 ,  Rayleigh distribution. Diversity  is  distinguished from  fre-
                 c
                                                      e
           f  » 9 MHz. AIL                                      quency agility in that the latter implies pulse-to-pulse changes
            c
           Ref.: Barton (1988), pp. 309–313.                    in frequency,  while diversity implies change  on  a burst-to-
                                                                burst or scan-to-scan basis or use of parallel channels at dif-
           The critical frequency shift is the frequency separation nec-
                                                                ferent frequencies. To be effective, the spacing between chan-
           essary to obtain independent samples of target or clutter sig-
                                                                nels must  exceed the jamming bandwidth or  a  critical
           nals in a frequency agility or diversity radar system.
                                                                frequency shift (or correlation frequency), generally given by
           The cutoff  frequency  is (1) the frequency defining  the                      c
           boundaries of frequency-selective filter passband (if the pass-           f =  --------
                                                                                      c
                                                                                         2L
           band is restricted  from both ends, the  higher  boundary fre-                  r
           quency in termed the upper cutoff frequency and the lower is  where L  is the radial length of the target or clutter source, or
                                                                       r
           lower cutoff frequency); or (2) the frequency in  waveguide  the difference in pathlengths  between direct  and reflected
           transmission lines  below which  no significant  propagation  components.
           occurs. Energy propagates, without significant loss, in vari-  One frequency diversity option uses k sequential bursts,
           ous “modes” at frequencies above cutoff. These modes are  each consisting  of  m constant-frequency pulses. Coherent
           defined in terms of the type of the propagating electromag-  processing over the m pulses is possible, followed by nonco-
           netic  wave,  transverse electric,  which  has no electric field  herent integration of the k outputs during the dwell of n = km
           component in the z-direction, and TE m,n  or transverse mag-  pulses. Another option uses scan-to-scan frequency change,
           netic, TM m,n , having no magnetic field component in the z-  with all  n pulses from  a  given  scan at the  same  frequency.
           direction (Fig. F36). The subscripts m and n indicate, for a  Other options divide each transmitted pulse of width t into k
           rectangular guide, the number of half-wave variations of the  subpulses transmitted at different frequencies, giving kn sub-
           transverse fields in the x- or y-directions, respectively.  pulses  per dwell  with coherent processing available over n
                                                                subpulses per channel. In this last case, a broadband receiver
                                                                front-end passes all k frequency channels, which are then pro-
                                                                cessed in separate narrowband amplifiers and aligned in time
                                                                                   /
                                                                by incremental delays tk for postdetection integration. DKB
                                                                Ref.: Barton (1988), pp. 85–87.
                                                                doppler frequency shift (see DOPPLER EFFECT).
                                                                frequency drift (see frequency stability).
              Figure F36 Rectangular waveguide dimensions and coordi-  Frequency hopping refers to frequency agility or sequential
              nate system (after Skolnik,1970, p. 8.7).         frequency diversity. The term is normally applied to commu-
                                                                nications systems rather than to radar.
               The  cutoff  frequency of a rectangular waveguide
           depends on the mode of operation and is equal to c/2a for the  image frequency (see RECEIVER).
           dominant mode, TE . Tables of cutoff frequencies for stan-
                           10
           dard waveguides are  available  in  the radar literature.  PCH,  frequency instability (see frequency stability).
           AIL                                                  Instantaneous frequency is 1/2p times the rate of change of
           Ref.: Skolnik (1970), pp. 8.7–8.11; Popov (1980), p. 97.  phase. In the expression for a sine wave, e(t) = cos q(t) = cos
           Frequency deviation is a maximum deviation of the carrier  (w t + q ), where w , the derivative of q(t), is the radian fre-
                                                                  c
                                                                       0
                                                                                c
           frequency within the modulation interval  t  for  frequency  quency and q  is some initial phase angle. When q(t) varies
                                                                           0
                                               r
           modulation (Fig. F37). The typical notation is Df. AIL  with time, as in the case of an FM carrier, the value w  in the
                                                                                                            c
                                                                equation  above  no longer represents the frequency of the
                                                                waveform, and it is necessary to define an instantaneous fre-
                                                                quency w  such that w  = dq/dt. PCH
                                                                                  i
                                                                        i
                                                                Ref.: Schwartz (1959), p.113.
                                                                Intermediate frequency (IF), in a superheterodyne receiver,
                                                                is the frequency that results when the received RF signal at f rf
                                                                is mixed with a signal of frequency f  from the local oscilla-
                                                                                              lo
                                                                tor, and  filtered  to  eliminate frequency components at  or
             Figure F37 Frequency deviation of sawtooth FM waveform.  above f . Thus, f  = f  - f . It is formed by frequency conver-
                                                                                    lo
                                                                                 rf
                                                                      rf
                                                                             if
           Ref.: Terman (1955), p. 586; Popov (1980), p. 103.   sion in a mixer. AIL
           Frequency diversity refers to the technique of transmitting  Ref.: Terman (1955), p. 568; Popov (1980), p. 324.
           and  receiving on two or more carrier frequencies, to  over-  A  frequency multiplier is a device for increasing the  fre-
           come target or propagation path fading, narrowband jam-  quency of a basic oscillator by some integer factor. The oper-
           ming, or clutter having  pulse-to-pulse correlation or non-
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