Analytical probability density function for the Q factor due to PMD and noise

Author

Kissing, Jens ; Gravemann, Tobias ; Voges, Edgar

Author_Institution

Univ. of Dortmund, Germany

Volume

15

Issue

4

fYear

2003

fDate

4/1/2003 12:00:00 AM

Firstpage

611

Lastpage

613

Abstract

The statistics of the signal quality due to first-order polarization mode dispersion (PMD) in uncompensated systems is analyzed. First, the probability density function (pdf) of the eye-opening penalty (EOP) due to first-order PMD is presented. Based on an analytical relation between Q factor and EOP, the pdf of the Q factor is determined. By integration of this pdf, the outage probability (OP) is derived. The OP is determined by including the optical signal-to-noise ratio (OSNR) and the differential group delay (DGD). Finally, the OSNR penalty for the required OP and a certain average DGD is derived, which is an important result for system designers. All analytical results are verified by simulations.

Keywords

Q-factor; delays; optical fibre communication; optical fibre dispersion; optical fibre polarisation; optical fibre theory; optical noise; probability; statistical analysis; OSNR penalty; PMD; Q factor; analytical probability density function; differential group delay; eye opening penalty; first-order polarization mode dispersion; optical noise; optical signal-to-noise ratio; outage probability; uncompensated fibre communication systems; Optical distortion; Optical filters; Optical noise; Optical receivers; Optical retarders; Polarization mode dispersion; Probability density function; Q factor; Signal analysis; Signal to noise ratio;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/LPT.2003.809270

Filename

1190220