Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model

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We report the first application of complex symmetric wavelets to the numerical simulation of a nonlinear signal propagation model. This model is the so-called nonlinear Schrodinger equation that describes, for instance, the evolution of the electric field amplitude in nonlinear optical fibers. We propose and study a new way to implement a global space-time adaptive grid, based on interpolation properties of higher-order scaling functions.
4 pages, compressed and uuencoded postcript file (final size: 720 Kbytes) Submitted to 7th SP Workshop on Signal Analysis and Array Processing

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