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A system model for analyzing the effects of dispersion when employing multilongitudinal mode laser diodes is presented. The analysis considers in a general manner the digital symbol statistics, the system pulse shaping, the laser diode spectrum, the laser diode extinction ratio, and mode partition noise. For mode partition noise, separate consideration is given to the statistics of the longitudinal mode powers within a baud period, which are characterized by the parameter "k" presented by Ogawa and Vodhanel [SI, and for the statistics between different baud periods. It is demonstrated that failure to separate the mode partition statistics in this manner can lead to underestimation of the dispersion penalty. By incorporating statistical models for the important system parameters, a statistical approach to route design is demonstrated. Such calculations provide a major input into the design of long optical routes with a design strategy based on minimizing the most likely overall system cost [l].

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