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Basic Concepts of Communication Systems



                                                       Basic Concepts of Communication Systems  17


                      TABLE 1.5. Representative Values of Decibel
                      Power Loss and the Remaining Percentages
                                                Percentage of
                      Power loss, dB             power left
                      0.1                           98
                      0.5                           89
                      1                             79
                      2                             63
                      3                             50
                      6                             25
                      10                            10
                      20                             1



                                                  +2 dB
                               −9 dB             +14 dB             −3 dB

                           Transmission line 1                  Transmission line 2
                                               Amplifier
                     Point 1            Point 2            Point 3           Point 4

                     Figure 1.13. Example of attenuation and amplification in a transmission path.

                        Relative to point 1, the signal level in decibels at point 4 is
                            dB level at point 4   (loss in line 1)   (amplifier gain)   (loss in line 2)

                                              ( 9 dB)   (14 dB)   ( 3 dB)   2 dB
                        Thus the signal has a 2-dB gain (a factor of 10 0.2    1.58) in power in going from point 1
                        to point 4.

                        Since the decibel is used to refer to ratios or relative units, it gives no indica-
                      tion of the absolute power level. However, a derived unit can be used for this.
                      Such a unit that is particularly common in optical fiber communications is the
                      dBm. This expresses the power level P as a logarithmic ratio of P referred to
                      1mW. In this case, the power in dBm is an absolute value defined by
                                                                   P  mW
                                           Power level, dBm 10 log                       (1.2)

                                                                   1mW
                      An important rule-of-thumb relationship to remember for optical fiber commu-
                      nications is 0dBm   1mW. Therefore, positive values of dBm are greater than
                      1mW, and negative values are less than this. Table 1.6 lists some examples of
                      optical power levels and their dBm equivalents.


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