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                                10 0



                               10 *5
                                                                              FSK


                              P b  10 *10                OOK



                               10 *15
                                                                DPSK

                               10 *20
                                  *10     *5      0       5      10      15      20
                                                        dd
                                                        γ  (dB)
                       Figure 8.28  Error probability of various modulation formats in a direct detection system.

            From Eq. (8.96), we have
                                                      1    √
                                                 PSK
                                                P   =   erfc( ).                           (8.326)
                                                 b    2
            When >> 1,
                                                       exp (−)
                                                  PSK
                                                P    ≅        .                              (8.327)
                                                  b      √
                                                        2 
            From Eq. (8.307), we have
                                                DPSK   1
                                               P     =  exp (−).                           (8.328)
                                                b      2

                                10 0



                                                                            DPSK
                               10 *5

                              P b


                               10 *10
                                                                     PSK



                               10 *15
                                 *10       *5        0        5        10        15
                                                        dd
                                                        γ  (dB)
                      Figure 8.29 Comparison of the performances of homodyne PSK and direct detection DPSK.
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