Applied Sciences (Mar 2021)

PAM-<i>N</i>—Fundamental Limits in Chromatic Dispersive-Uncompensated Channels

  • Er’el Granot,
  • Gilad Katz

DOI
https://doi.org/10.3390/app11062542
Journal volume & issue
Vol. 11, no. 6
p. 2542

Abstract

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The fundamental chromatic dispersion limit for an optical communication N-level pulse amplitude modulation (PAM-N) format without any dispersion compensating module is calculated. The main result of this analysis shows that in a non-dispersion-compensated channel, the product β2B2L (where β2, L, and B are the dispersion coefficient, fiber length, and the Baud rate, respectively) is bounded by a number, which depends only on the number of levels N. In particular, β2B2L β2B2L β2B2L N values of 2, 4, and 8, respectively. Moreover, an analytical expression for a noisy channel’s power penalty was formulated. This analytic expression shows high agreement with numerical simulations. To the best of our knowledge, this is the first time that such a fundamental limit has been formulated for PAM-N systems.

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