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Fourier collocation points - PowerPoint PPT Presentation

Spectral analysis: Foundations

Spectral analysis: Foundations. Orthogonal functions Fourier Series Discrete Fourier Series Fourier Transform: properties Chebyshev polynomials Convolution DFT and FFT

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526 views • 50 slides

Fourier Series and Transforms

Orthogonal functions Fourier Series Discrete Fourier Series Fourier Transform Chebyshev polynomials Scope : we are trying to approximate an arbitrary function and obtain basis functions with appropriate coefficients. Fourier Series and Transforms. Fourier Series. The Problem

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324 views • 30 slides

Function Approximation

Function Approximation. The Problem we are trying to approximate a function f(x) by another function g n (x) which consists of a sum over N orthogonal functions F (x) weighted by some coefficients a n. The Problem.

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309 views • 28 slides

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Fourier collocation points - PowerPoint PPT Presentation

Spectral analysis: Foundations

Fourier Series and Transforms

Function Approximation