NDLI: Wavelet analysis of soliton interaction

Content Provider	IEEE Xplore Digital Library
Author	Horihata, S. Kitagawa, H.
Copyright Year	1999
Description	Author affiliation: Dept. of Production Syst. Eng., Toyohashi Univ. of Technol., Japan (Horihata, S.)
Abstract	The wavelet transform (WT) is one type of representative time-frequency analysis. The characteristic of the WT is determined by the analyzing wavelet (AW). In this study, a WT which makes use of a hyperbolic function as its AW is proposed. The function describes the solution of the nonlinear Schrodinger (NLS) equation which represents the behavior of optical solitons in an optical fiber. The interaction between two simulated solitons is analyzed applying the new AW. Then, results obtained from the WT with the hyperbolic function as AW are compared with those from the WT with Gabor function. It is proved that the application of the new AW is very useful for the WT analysis of soliton interactions. Furthermore, to investigate the effect of noise components in a solution, analyses are made for the solutions of the NLS equation with spatial periodic perturbation of several levels. From this study, it is proved that the opto-soliton is quite appropriate for application to the information transmission system of optical fiber.
Starting Page	1608
Ending Page	1613
File Size	363667
Page Count	6
File Format	PDF
ISBN	0780352769
ISSN	10915281
DOI	10.1109/IMTC.1999.776096
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-05-24
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wavelet analysis Optical fibers Nonlinear equations Frequency domain analysis Systems engineering and theory Optical solitons Noise level Signal analysis Production systems Wavelet transforms
Content Type	Text
Resource Type	Article
Subject	Instrumentation Electrical and Electronic Engineering

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