Tomoharu YOKOTA     Kazuhiko ASAKA     Hideki
      MATSUMOTO  
      Tsuyoshi YAMAGUCHI     Chiharu KASAI
       
      
       
      
      3 Weather dependency of the Link Quality of the Free Space Optical Transmission
      System 
      (1) Weather condition and visibility 
      The standard visibility is defined as the distance where the black object is discriminated from the other on the horizon in the sunshine in the uniform sphere. Visibility is difficult to be measured directly and is calculated from the data measured by the optical equipment like the visibility meter now used. The distance where the light (white light of color temperature 2700K) is reduced to 5% after the transmission through the free space is defined as MOR (Meteorological Optical Range) and is used as similarly as the visibility of the meteorological term. 
      (a) Visibility distribution dependent on the weather condition 
      The change of the visibility affected by weather condition was measured
      by the weather & visibility meter. 
      In Table 3-1, the weather condition is divided into four conditions of no rain, haze, fine rain and rain, and the percentage of the visibility under each condition is shown.  
      In this measurement the visibility less than 1km is only under the condition
      of rain and the percentage is rare, only 0.32%. By the way the strongest
      rainfall was 42.6mm/hr and the visibility was 0.16km in this measurement. 
      Figure 3-1 shows the relation between rainfall and visibility. The visibility
      gets so shorter as that the rainfall is stronger, but it is difficult to
      get the visibility directly from the rainfall. Accordingly it is necessary
      to get the propagation loss of the beam from the visibility in order to
      make a link design. 
        
      Table 3-1  Percentage of Visibility under Weather Condition 
        
      Figure 3-1 Relation between Rainfall and Visibility 
      (b) Result of measurement of visibility, reception power and bit error rate
      Figure 3-2 shows the result of the measurement of visibility, reception
      power and bit error rate in the rain at Mita for a month of December, 2001. 
       
        
      Figure 3-2  Result of Measurement of Visibility, Reception Power and
       
      Bit Error Rate in December, 2001 
      The visibility changes similarly at Mita and Takanawa macroscopically.
      The visibility of both points is much reduced at the weak rain (about 3mm/hr
      in this figure) and the changes of rainfall and visibility coincide with
      each other. But the visibility is also reduced in no rain and this will
      be caused by fog and haze. This data verifies the relation between the
      visibility and the weather condition on the whole.
      The anxiety is bit error rate when the Free Space Optical Transmission
      System is setup. In this measurement the worst bit error rate was 4~10
      -8 and it is sufficiently good for the communication link though the weather
      was relatively fine. But the change of bit error rate does not always coincide
      with that of rainfall and visibility, and appears rather intermittently
      and continuously. The reason is not clear now. 
      (2) Propagation loss and visibility 
      (a) Estimation formula of propagation loss 
      The transmission quality of the Free Space Optical Transmission System
      is affected by aerosol and weather condition in the air. The visibility
      is generally used in order to estimate the influence and is defined as
      the distance where the black object is discriminated from the other on
      the horizon in the sunshine in the uniform sphere. It is measured by weather
      bureaus in every place and is the data for the visible light. The visibility
      data for the visible light is used for the estimation of propagation loss
      because the infrared of about 800nm is near to the visible light. The estimation
      formula L (dB/km) of the air using the visibility is expressed in two types
      of formulae. The one is formula (1) using the visibility, the other is
      formula (2) including the influence of wave length. 
      Enot including the influence of wave length 
      
        
          
              | 
            (dB/km)   | 
            formula (1) | 
           
        
       
      Eincluding the influence of wave length 
      
        
          
              | 
            (dB/km)   | 
            formula (2) | 
           
        
       
      q = 0.585 V 1/3 
      L : propagation loss (dB/km) V : visibility (km) Ι : wave length (nm) 
      (b) Relation between visibility and reception power 
      Figure 3-2 shows the relation between visibility and reception power that
      was measured for about 6 months (October, 2001 to March, 2002) between
      Mita and Takanawa 1.2km apart. 
       
        
      Figure 3-2 Relation between Visibility and Reception Power (Mita) 
      The black line means the theoretical curve of formula (1) and the red line means the theoretical curve of formula (2). They were calculated based on transmit power -33dBm and distance 1.2km.
      Comparing with the measured data and the theoretical curves, the theoretical
      curves go along the lower limit value of the measured data. Accordingly
      it is verified that both formulae are suitable for the estimation. 
      The results of formula (1) and (2) have not so large difference under the
      condition of transmission distance 2km and wave length about 800nm, and
      the theoretical result is the same even if any formula is used for the
      link design. The simple formula (1) is easy to be used for the estimation
      of propagation loss. 
      (3) Propagation loss and transmission quality 
      (a) Relation between reception power and bit error rate 
      Figure 3-3 shows the relation between reception power and bit error rate.
       The link-down did not happen and the worst bit error rate was 4.3~10
      -8 for about three months since October 24, 2001 to January 27, 2002. The
      link quality is very high for wireless system. 
       
        
      Figure 3-3 Relation between Reception Power and Bit Error Rate 
      (b) Scintillation
      Fluctuation of reception power level caused by the density deviation of
      the air is scintillation. 
      Table 3-2 shows the example of scintillation obtained in this measurement. 
       
      
        
          
            | Date | 
            the lowest value  
            of visibility | 
            weather | 
            the highest temperature | 
            the lowest temperature | 
            the worst value of BER  | 
            scintillation | 
           
          
            | 2001/12/1 | 
            20km (Mita) 
            20km (Takanawa) | 
             no rain    100% | 
            12.3 | 
            5.9 | 
            1.70E-08 | 
            4`8dB | 
           
          
            | 2001/12/9 | 
            6.5km (Mita) 
            5.7km (Takanawa) | 
             no rain    100% | 
            12.6 | 
            5.7 | 
            1.00E-08 | 
            3`8dB | 
           
          
            | 2001/12/1 | 
            368km (Mita) 
            272km (Takanawa) | 
             no rain    55.6% 
             haze       44.4% | 
            13.1 | 
            7.0 | 
            5.80E-09 | 
            1`3dB | 
           
          
            | 2001/12/2 | 
            15.1km (Mita) 
            6.25km (Takanawa) | 
             no rain    100% | 
            15.2 | 
            3.4 | 
            4.30E-08 | 
            1`2dB | 
           
        
       
      Table 3-2 Measurement of Scintillation 
      
      
       
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