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287   noise, automatic video noise leveling                                 noise, power (spectral) density



           the next sweep. (See  CONSTANT-FALSE-ALARM           where k is Boltzmann’s constant, N is the output from the
                                                                                              o
           RATE.) SAL                                           network,  T  is the standard temperature  (290K),  T  is  the
                                                                                                           e
                                                                         0
           Ref.: IEEE (1990), p. 6.                             effective noise  temperature of the  network,  B is the  noise
                                                                                                      n
                                                                bandwidth, G  is available gain, and S /N  and S /N  are sig-
                                                                                                  i
                                                                           a
                                                                                               i
                                                                                                          o
                                                                                                       o
           Noise bandwidth is the bandwidth of an equivalent rectangu-
                                                                nal-to-noise ratios at the input and the output of the network.
           lar filter whose noise-power output is the same as the filter
                                                                The noise factor may serve as a measure of signal-to-noise
           with frequency-response characteristic H(f). The usual nota-
                                                                degradation when the signal passes the network. Typically, it
           tion is B , given by the formula:
                  n
                                                                is measured in decibels (10 log F ). If the receiver incorpo-
                                                                                            n
                                 ¥
                                                                rates several cascaded stages the resultant noise figure may be
                                       2
                                 ò Hf ()df                      shown as
                                 – ¥
                            B =  ----------------------------                       F  –  1  F  –  1
                             n         2                                             n2      n3
                                   Hf ()                                   F =  F n1  +  ----------------- +  ----------------- +  ¼
                                                                            n
                                      0
                                                                                            G G
                                                                                      G
           where f  is the frequency of maximum response (usually at                   1     1  2
                 0
                                                                                                         ni
           midband). The measurement of noise bandwidth  involves a  where i = 1, 2, ... is the number of the stage and F  and G ni
                                                                are noise figure and gain of corresponding stage. So if the
           complete knowledge of the response characteristic H(f), so in
                                                                gain is rather high, it is the first stage (usually RF amplifier)
           practice the 3-dB bandwidth is used as an approximation. SAL
                                                                that determines the  noise properties of the whole  receiver.
           Ref. Skolnik (1980), p. 18.
                                                                SAL
           Colored noise is a noise component having nonuniform spec-  Ref.: IEEE (1993), p. 849; Skolnik (1980), pp. 19, 344; Morchin (1993), p.
           tral density, as opposed to white noise. SAL            411; Leonov (1988), p. 56.
           cosmic noise (see solar noise).                      Gaussian noise is described by the random process with the
                                                                Gaussian distribution of probability density function:
           Direct amplified noise is noise directly amplified without a
                                                                                                    2
           carrier frequency,  used in  jamming  to saturate the radar               1       ( U –  U )
                                                                                                  n
                                                                                               n
           receiver noise level. In this case the radar operator may not    Wu () -----------------exp=  – ---------------------------
                                                                                                 2
                                                                                    2ps n      2s
           realize the radar is jammed if AGC or automatic noise level-                          n
           ing are employed. It is used as barrage noise jamming with a  where  u is noise voltage,  U n  is the constant component of
                                                                                 2
           bandwidth of more than 50 MHz. This method is not widely  noise voltage, and s  is noise variance.
                                                                                n
           used, as linear wideband amplification is not a very efficient  If  U n    = 0, Gaussian noise from k different independent
           process. This technique is also termed direct noise amplifica-  sources are summed as the powers:
           tion (DINA). SAL                                                    2     2    2       2
                                                                              U nS  =  U n1  +  U n2  +  ¼ +  U nk
           Ref.: Johnston (1979), p. 58.
                                                                AIL
           Noise duty cycle is the parameter sometimes used in descrip-
                                                                Ref.: Barton (1964), p. 11; Svistov (1977), p. 85
           tion of receivers analogously to signal duty cycle and equal to
           the  product  of average receiver range-gate-on-interval and  industrial noise (see environmental noise).
           pulse repetition frequency in the assumption that the receiver
                                                                Johnson noise (see thermal noise).
           noise generated after the range-gate switch is negligible. SAL
                                                                Noise power is the power of the noise at the output of a net-
           Ref.: Currie (1987), p. 794.
                                                                work. The usual notation is N. Noise power is given by the
           Environmental noise is ambient noise arising from the natu-
                                                                formula:
           ral environment. For much of the radar band this noise is rela-
                                                                                     N =  kT B
           tively low in comparison with internal receiver noise and has                  s n
           to be taken into consideration usually only for radars employ-  where k is Boltzmann’s constant, T  is the system noise tem-
                                                                                            s
           ing receivers with  very-low-noise  input stages. The main  perature, and B  is noise bandwidth. SAL
                                                                            n
           sources of environmental noise are atmospheric noise, urban  Ref.: Morchin (1993), p. 407.
           or industrial noise, and cosmic noise  in  which solar  noise
                                                                Phase noise is random phase modulation of the carrier pro-
           sometimes is separately distinguished. Sometimes this noise
                                                                duced by signal sources such as oscillators. This kind of noise
           is called ambient or external noise. SAL
                                                                often  referred to as  single-sideband noise, it  causes carrier
           Ref.: Skolnik (1990), p. 463.
                                                                sidebands whose amplitude vary as a function of frequency
           Noise factor [figure] is the ratio of the noise at the output of  offset from the carrier frequency, and it is the predominant
           a practical linear network (e.g., a receiver) to the noise at the  factor of short-term stability. SAL
           output of an ideal network at standard temperature. The typi-  Ref.: Morchin (1993), p. 414.
           cal notation is F  and the evaluation equation is    Noise power (spectral) density is the noise power per unit
                        n
                                         ¤
                                       S N  i     T e           bandwidth, n/B .
                                        i
                    F =  N ¤ ( kT B G ) ---------------- =  1 +  -----      n
                                     =
                     n    o    0 n  a  S ¤ N      T
                                        o  o       0
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