## Coherent and Nonlinear Lightwave CommunicationsThis is a practical source on recent developments in coherent and nonlinear lightwave communications. The book systematically presents up-to-date explanations of all the relevant physical principles and recent research in this emerging area. Providing an unparallelled engineering-level treatment (with 700 equations), this reference also describes the progression of coherent and nonlinear technology from yesterday's experimental field to today's practical applications tool. This work is intended as a tool for research telecommunication engineers, applications engineers working with broadband telecom systems and networks, and postgraduate students. |

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Page 33

66 ) The solution of the

r1 = z ... 7 Probability density functions in noncoherent detection of FSK signals .

66 ) The solution of the

**integral**in ( 2 . 66 ) can be found by using the substitutionr1 = z ... 7 Probability density functions in noncoherent detection of FSK signals .

**integral**takes the form of a Rice distribution . Since Coherent Optical Receiver ...Page 34

function over all positive values is equal to unity , ( 2 . 67 ) takes the final form P (

0 / 1 ) = 0 . 5 exp ( - 20 ) ( 2 . 68 ) The same expression is obtained for conditional

...

**integral**takes the form of a Rice distribution . Since the**integral**of the Ricefunction over all positive values is equal to unity , ( 2 . 67 ) takes the final form P (

0 / 1 ) = 0 . 5 exp ( - 20 ) ( 2 . 68 ) The same expression is obtained for conditional

...

Page 46

109 ) The

, so we have we haThe

110 ) J - M The error probability , Pepsk , m , now becomes | Sn sin ñ PePSK , M ...

109 ) The

**integral**in ( 2 . 108 ) can be solved by the substitution z = Sh singlv20h, so we have we haThe

**integral**in ( 2 . 1083 ) can be T / M w ( Q ) dø = erf - - ( 2 .110 ) J - M The error probability , Pepsk , m , now becomes | Sn sin ñ PePSK , M ...

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### Contents

Preface | 5 |

Coherent Optical Receiver Sensitivity | 15 |

Optical Transmitters for Coherent Lightwave Systems | 61 |

Copyright | |

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### Common terms and phrases

according amplifier amplitude applied assumed bandwidth becomes carrier caused channels Chapter characteristics coefficient coherent optical receiver Communications components condition considered constant continuous wave corresponding defined density depends described detection scheme determined difference direct dispersion distance distribution effect Electron emission energy equal equation Erbium error probability evaluated expressed factor Figure filter frequency function gain given Hence heterodyne homodyne IEEE/OSA incoming increase influence input integral laser length light lightwave systems Lightwave Techn limit loss means methods mode modulation noise nonlinear obtained operation optical amplifiers optical fiber optical oscillator optical power optical receiver optical signal output parameters phase photodiode photons polarization possible practical presents propagation pulse pump Quantum Raman ratio realization referent region resonator respectively scattering semiconductor laser shift soliton spectral spectral linewidth spontaneous stimulated takes term transmission variance wave wavelength