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Fast Creation of Approximate Local Fourier and InverseFourier Continuous Transforms

Anry Nersessian
Organization: National Academy of Sciences of Armenia
Department: Institute of Mathematics
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The package NFourierLocalTransform is intended for calculating approximate Fourier Transform which is one of the main mathematical tools both in theoretical investigations and in applications to applied mathematics, physics, engineering etc. It is a well known problem to find an efficient algorithm for Fourier Transform and up to now it was solved only on the base of calculation on a finite set of a real line and consequent interpolation. But this way is not efficient especially for oscillating inputs. Our algorithm works on the base of wavelet technique and generates rather good results for wide class of functions.

*Mathematics > Calculus and Analysis

fourier transform
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NFLT.nb (1 MB) - Mathematica notebook