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Chapter 5                                                               219


                              () = 29 − 25 log 10  ,           1° ≤  ≤ 20°
                              () = −3.5,           20° <  ≤ 26.3°

                             () = 32 − 25 log 10  ,     26.3° <  ≤ 48°
                              () = −10,            48° < 
            Grating lobe is the sidelobe with peak magnitude slightly lower, equal or even higher with
                                                      respect to  the primary beam. Figure
                                                      5.2.11 illustrates the main beam and four
                                                      grating  lobes of  the same  magnitude at
                                                      high elevation angles. Such grating lobes
                                                      are typically an undesired consequence of
                                                      faulty antenna design and almost
                                                      unavoidable in broadband antennas where
                                                      the main beam steered electronically from
                                                      the  zenith  to  a  direction  close  to  the
                                                      horizon (i.e. scan angle in the range 50 -
                                                      80 degrees).
                                                      5.2.8   Antenna Noise Temperature

                                                                           12
                                                      According to Wikipedia   “…  antenna
              Figure 5.2.11 Illustration of antenna grating   noise temperature is the temperature of a
                       lobes in uv-coordinates
                                                      hypothetical resistor at  the input  of an
                                                      ideal  noise-free  receiver  that  would
            generate the same output noise power per unit bandwidth as that at the antenna output at a
            specified frequency.” In general, we must distinguish between two sources of antenna noise.

            Antenna itself. Since some portion of EM energy delivered to or received by an antenna goes
            away in the form of heat energy the physical antenna temperature increases above the ambient
            temperature. Therefore, an antenna as a heated object should produce some extra noise that
            corrupts the transmitted or received signal. The spectrum density of thermal noise is close to
            constant for all frequencies  and can “bury” the received signals carrying lower than noise
            energy. Antenna heat loss was characterized by the resistor    in the equivalent circuit in
            Figure 5.2.2. If so, this resistor can be considered as the equivalent noise source that generates
            the noise power equals to


                                           =  ∆ [W]                  (5.35)
                                           
                            −23  [J/K] is Boltzmann’s constant,    is the physical  temperature of an
            Here  ≅ 1.38 ⋅ 10                         
            antenna in Kelvin degrees (0°K = −273℃) and ∆ [Hz] is the bandwidth of the transmitter or
            receiver connected to antenna. Typically, this noise generator is included in a circuitry network
            as a root mean square (RMS) voltage source of magnitude    defined from the classical
                          2         or
            equity   =   /
                      
                                           = � ∆      (5.36)
                                                  


            12  Public Domain Image, source: https://en.wikipedia.org/wiki/Antenna_noise_temperature
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