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7






           Transmission System Design






           7.1  Introduction

           So far, we have discussed photonic/optoelectronic components such as lasers, modulators, optical fibers,
           optical amplifiers, and receivers. In this chapter, we put together these components to form a fiber-optic
           transmission system. Critical system/signal parameters that affect the performance are identified and design
           guidelines are provided. In Section 7.2, the performance of a simple fiber-optic system consisting of a trans-
           mitter, a fiber, a preamplifier, and a receiver is analyzed. The transmission performance advantage of a
           coherent receiver over the direct detection receiver for this unrepeatered system is discussed. Section 7.3
           covers the dispersion-induced limitations and provides a simple design rule relating the bit rate, dispersion
           coefficient, and reach. In Section 7.4, optical amplifier noise-induced limitations are discussed. For a long-haul
           fiber-optic system, optical amplifier noise is one of the dominant impairments. A design rule pertaining to
           amplifier spacing, number of amplifiers, and total reach is also discussed in Section 7.4.


           7.2  Fiber Loss-Induced Limitations

           Let us consider an unrepeatered direct detection system based on OOK, as shown in Fig. 7.1. Let P be the
                                                                                          in
           transmitted power when ‘1’ is sent. The received power is
                                       {
                                         P = P exp (−L)  when ‘1’ is sent,
                                          1r
                                               in
                                   P =                                                       (7.1)
                                    r
                                         P = 0             when ‘0’ is sent.
                                          0r
           The variances of shot noise and thermal noise are given by Eqs. (5.72) and (5.76). Ignoring the dark current,
           for bit ‘1’, we have
                                                2  = 2qI B ,                               (7.2)
                                                1,shot   1 e
                                             2
                                                 = 4K TB ∕R ,                              (7.3)
                                             1,thermal  B  e  L
           where
                                              I = RP exp (−L)                              (7.4)
                                                    in
                                              1
           is the mean photocurrent of bit ‘1’. The mean photocurrent of bit ‘0’ is
                                                I = RP = 0.                                  (7.5)
                                                0
                                                      0r
           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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