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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 23, Iss. 3 — Mar. 1, 2005
  • pp: 1491–

Fast Split-Step Wavelet Collocation Method for WDM System Parameter Optimization

Tristan Kremp and Wolfgang Freude

Journal of Lightwave Technology, Vol. 23, Issue 3, pp. 1491- (2005)

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To meet rapidly increasing bandwidth requirements, extensive numerical simulations are an important optimization step for optical networks. Using a basis of cardinal functions with compact support, a new split-step wavelet collocation method (SSWCM) was developed as a general solver for the nonlinear Schrödinger equation describing pulse propagation in nonlinear optical fibers. With N as the number of discretization points, this technique has the optimum complexity cal(N) for a fixed accuracy, which is superior to the complexity cal(N log2 N) of the standard split-step Fourier method (SSFM). For the simulation of a large 40-Gb/s dense-wavelength-division-multiplexing (DWDM) system with 64 channels, the SSWCM requires less than 40% of computation time compared with the SSFM. This improvement allows a systematic optimization of wavelength-division-multiplexing (WDM) system parameters to achieve a minimum bit-error rate.

© 2005 IEEE

Tristan Kremp and Wolfgang Freude, "Fast Split-Step Wavelet Collocation Method for WDM System Parameter Optimization," J. Lightwave Technol. 23, 1491- (2005)

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