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Optical Modulators and Modulation Schemes                                          175


                                                     π/2




                                            π                  0




                                                     3π/2

                                      Figure 4.44  BPSK constellation diagram.


                          ‘00’               ‘01’               ‘11’           ‘10’
                    A                 A                A                A



                    0               t  0             t  0             t  0             t

                   –A                –A               –A               –A
                           0                π/2                π              3π/2







                                           Figure 4.45 QPSK symbols.


                                                     01




                                           11                  00




                                                     10
                                     Figure 4.46  Constellation diagram of QPSK.


           M-PSK signal in an interval kT ≤ t ≤ (k + 1)T may be written as
                                   s            s
                                      s (t)= Ap(t) cos [2f t + k m (t)+  ],            (4.108)
                                       j               c   p  j    0
           where
                                               2(j − 1)
                                       k m (t)=        , j = 1, 2, … , M                   (4.109)
                                        p  j
                                                  M
           and  is a phase constant.
               0
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