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Channel Multiplexing Techniques                                                    407


                                                           Real part of OFDM data

                                                    DAC


                                                   MZM-I

                            Laser


                                                   MZM-Q       π/2


                                                    DAC
                                                           Imaginary part of OFDM data

           Figure 9.17  Block diagram of an IQ modulator. MZM = Mach–Zehnder modulator, DAC = digital-to-analog converter.



           A description of the IQ modulator is provided in Fig. 9.17. Real and imaginary parts of the OFDM data
           modulate the laser light using a Mach–Zehnder modulator-I (MZM-I) and MZM-Q, respectively. Let the real
           and imaginary parts of the OFDM data be m (t) and m (t), respectively. Assuming that the MZMs operate in
                                              r       i
           the linear regime, the MZM-I and MZM-Q outputs can be written as (see Section 4.6.2.2)
                                               A c
                                          q = √ m (t) exp (−i2f t),                       (9.87)
                                           I       r           c
                                                2
                                               A c
                                          q = √ m (t) exp (−i2f t).                       (9.88)
                                                   i
                                           Q
                                                               c
                                                 2
           The output of MZM-Q passes through a ∕2 phase shifter, which is equivalent to multiplying by i.After the
           output y-branch in Fig. 9.17, the output is given by
                                                        √
                                           q =(q + iq )∕ 2
                                                I
                                                     Q
                                               A c
                                             =   m(t) exp (−i2f t),                       (9.89)
                                                             c
                                               2
           where m(t)= m (t)+ im (t) is the complex OFDM data.
                       r      i
           9.4.3  Optical OFDM Receiver
           Fig. 9.18 shows a block diagram of an optical OFDM receiver with coherent detection. The output of the
                                                                                ∘
           fiber-optic link passes through an optical IQ receiver (see Chapter 5) consisting of a 90 hybrid and an array
           of photodetectors. The I- and Q-branches of the IQ receiver output correspond to the real and imaginary
           parts of the OFDM data, respectively. After the analog-to-digital conversion (ADC), the I and Q signals pass
           through the DSP unit for further signal processing. Combining the real and imaginary parts, complex OFDM
           data is formed and the DFT of this data is computed using FFT, after serial-to-parallel conversion on each
           OFDM symbol. In the absence of laser phase noise, fiber propagation effects, and ASE, the output of the FFT
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