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309   power, effective radiated (ERP)                                               power programming



           radar  power is generally expressed in  terms of peak pulse  Ref.: IEEE (1993), p. 988; Skolnik (1980), p. 225.
           power; for a CW radar, the values of peak and average power  Power handling capability [capacity] describes the maxi-
           are identical. Similarly, the ERP of a jammer is P G  and the  mum power that can be carried by a transmission line or other
                                                    j j
           jammer effective radiated power density (ERPD) is P G /B , j  RF component  in the  transmitter  path. This  value is deter-
                                                       j j
           where  B is the bandwidth over which the jammer signal is  mined by the dimensions of the component, spacing of com-
                  j
           transmitted. PCH                                     ponents subject  to  high field strengths, and  presence of
           Ref.: Schleher (1986), p. 422; Eaves (1987), p. 691.  atmospheric pressure or pressurized gases.
           Power efficiency may be calculated by dividing the average  Instantaneous power, when a voltage  E = E sin w  is
                                                                                                         m
                                                                                                              t
           power output of a device or system, by the average power  applied to a resistance R, is equal to EI, where I = E sin wt/R
                                                                                                         m
           required at the input. For a complete radar system, the total  = I sin wt. E is the instantaneous voltage, E  is the maxi-
                                                                                                     m
                                                                   m
           power efficiency would be measured by dividing the average  mum amplitude of a sine wave of frequency w, and I is the
                                                                                                  2
           transmitted RF power, P , by the primary power supply input  instantaneous current. Since EI = E I sin wt, and by substi-
                               av
                                                                                            m m
           (watts/watt).     Power-added efficiency is a term sometimes  tution,
           used to describe the efficiency of a particular subsystem or             2   1  1
           component (e.g., a solid-state transmitter amplifier or a trans-    ( sin wt )=  --- –  --- cos 2wt
                                                                                        2
                                                                                           2
           ceiver module). PCH
                                                                the instantaneous power is also equal to
           Power factor is the average real power drawn, in watts, by a          E I   E I
                                                                                        m m
                                                                                  m m
           electrical load, divided by the rms voltage-amperes drawn by          ------------- –  ------------- cos 2wt
                                                                                        2
                                                                                  2
           the same load.
                                                                    The average value of this power can be seen to be E I /
                                                                                                              m m
           Ref.: IEEE (1993), p. 987.
                                                                2, and in radar engineering this value, equal to one-half of the
           Power fluctuations, as related to the primary power supply  maximum instantaneous power, is called the peak power P  of
                                                                                                               t
           of a radar, are variations in line voltage with time due to tran-  a radar transmitted pulse. PCH
           sients (voltage spikes), ripple effects, or load changes. Con-  Ref.: Skolnik (1980), p. 52; Hovanessian (1984).
           trol of power fluctuations is especially important to maintain
                                                                noise power (see NOISE).
           proper transmitter operation. In tube-type transmitters, regu-
           lators are used to ensure that the output of the radar high-volt-  peak power (see instantaneous power).
           age power supply (HVPS) is constant within a few percent;
                                                                Primary [prime] power  is the source of electrical power
           the type of regulator used depends on the requirements of the
                                                                used to operate a radar. For land-based civil radars and some
           particular transmitter power tube. Solid-state transmitters also
                                                                fixed-site military radar systems, prime power is provided by
           require control of power fluctuations, and special electronic
                                                                the commercial power grid (land lines); in airborne radar sys-
           conditioning circuits are usually designed into the transceiver
                                                                tems, prime power is usually provided by electrical genera-
           module to regulate the power, which is at much lower voltage
                                                                tors  driven  by  the aircraft  engines. Field army radars are
           than that used in tube-type transmitters. PCH
                                                                generally powered by portable diesel generators. Radar mis-
           Ref.: Skolnik (1990), p. 5.16; McQuiddy, David N., et al., “Transmit/Receive   sile seekers have short operational  lives, and  in this  case,
              Module Technology for X-Band Active Array Radar,” Proc. IEEE 79,
              no. 3, Mar. 1991.                                 electrical batteries serve as the source of prime power. PCH
           Power gain is “in a given direction and at a given point in the  Power programming is the variation of radar transmitted
           far-field, the ratio of the power  flux per unit area from an  power in accordance with different radar mode requirements.
           antenna to the power flux per unit area from an isotropic radi-  For  example,  an agile-beam  phased-array radar may use a
           ator at a specified location with the same power input as the  “burnthrough” waveform against noise jammers that uses
           specified antenna.” It is a measure of the ability of an antenna  higher power (and longer dwell times) than the normal vol-
           to concentrate energy in  a preferred direction. Numerically,  ume search waveform; it may also program a lower average
           power gain  G (generally  referred  to simply as the  antenna  power waveform on targets already under track than to targets
           gain), may be  calculated as 4p times the maximum  power  being transitioned from search to track mode. Some types of
           radiated/unit solid angle divided by the net power accepted by  transmitter tubes, such as the crossed-field amplifier (CFA),
           the antenna. Equivalently, power gain is equal to the maxi-  are more amenable to stepped programming than others, and
           mum radiation intensity from the subject antenna divided by  solid-state active array radars have an inherent capability for
           the radiation intensity from a lossless isotropic source with  transmitted power programming via computer control of indi-
           the same power input. Gain is related to the effective aperture  vidual  transceiver modules. Power programming can  be
                          2
           A  by G = 4pA /l . The power gain of an antenna is always  implemented via  a software template,  wherein  the radar
                       r
            r
           less than the directive gain, since it includes antenna dissipa-  resources are allocated by radar operational cycle, or it may
           tive losses. It is the power gain G that should be used in the  be  adaptively implemented using more sophisticated  algo-
           radar range equation. (See ANTENNA gain; APERTURE,   rithms that respond to the sensed environment. PCH
           effective; RANGE EQUATION.) PCH                      power spectrum (see SPECTRUM).
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