Extracting Solitons from Noisy Pulses
Name
Li-2012-EXTRACTING SOLITONS FROM NOISY PULSES.pdf
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454.01 KB
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Author(s)
Li, Jinglai
Kath, William L.
Date Issued
April 2012
Journal
SIAM Journal on Applied Mathematics
Publisher
Society for Industrial and Applied Mathematics
Citation
Li, Jinglai, and William L. Kath. “Extracting Solitons from Noisy Pulses.” SIAM Journal on Applied Mathematics 72.2 (2012): 577–593. Copyright © 2012 Society for Industrial and Applied Mathematics
Version
Final published version
Abstract
We describe an iterative method that extracts the underlying soliton from a noisy pulse. The method is formulated as a functional iteration: at each step, the soliton component of the difference between the noisy pulse and the current underlying soliton is determined via soliton perturbation theory; this is then added to the soliton, and the process is repeated. We show that this iteration converges if the perturbation is not too large, and we give the specific types of deviations which most easily cause the iteration to fail to converge. As an example of the method's use, we apply it to obtain improved statistics of the amplitude, phase, frequency, and position of a soliton propagating in an optical fiber in the presence of amplifier noise.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1137/110828289
