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9






           Channel Multiplexing Techniques






           9.1  Introduction

           Typically, the single-channel symbol rates range from 10 Gsym/s to 40 Gsym/s. A symbol rate beyond
           40 Gsym/s is hard to achieve in practice because of the speed of electronic components in transmitter
           and receiver circuits. In the low-loss region of the fiber (1530–1620 nm), it has a bandwidth greater than
           10 THz. To utilize the full bandwidth of the fiber, several channels can be multiplexed and they can share
           the same fiber channel. An EDFA operating in C-band (1530–1565 nm) has a bandwidth of about 4.3 THz
           and, therefore, several channels can be amplified simultaneously by a single amplifier. The multiplexing
           techniques can be divided into three types: (i) polarization division multiplexing (PDM) or polariza-
           tion multiplexing (PM), (ii) frequency or wavelength-division multiplexing (WDM), (iii) time-division
           multiplexing (TDM).


           9.2  Polarization-Division Multiplexing

           PDM is an effective technique to double the capacity. Commercial coherent systems make use of PDM and
           WDM to enhance the capacity. A single-mode fiber supports two polarization modes–one with the electric
           field aligned with the x-axis and the other aligned with the y-axis (see Section 2.7.5). Therefore, it is possible
           to transmit information using each of these polarization modes. A schematic of the PDM or PM is shown in
           Fig. 9.1. At the transmitter, a polarization beam splitter is used to split the x- and y-polarization components
           of the laser source. The x-(y-)polarization component of the laser is modulated by the electrical data m (m )
                                                                                            x
                                                                                               y
           using an optical modulator Mod x (Mod y). If the modulators are operating in the linear region, their outputs
           are (see Section 4.6.2.2)
                                              = xA m (t)e −i2f c t ,                     (9.1)
                                              x
                                                      x
                                                    c
                                              = yA m (t)e −i2f c t ,                     (9.2)
                                              y     c  y
           where f is the laser frequency. The polarization beam combiner (PBC) combines these polarization compo-
                 c
           nents. The output of the PBC is
                                     =  +  = A e −i2f c t [m (t)x + m (t)y].         (9.3)
                                                           x
                                                                  y
                                              y
                                          x
                                                   c
           Fiber Optic Communications: Fundamentals and Applications, First Edition. Shiva Kumar and M. Jamal Deen.
           © 2014 John Wiley & Sons, Ltd. Published 2014 by John Wiley & Sons, Ltd.
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