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How to evaluate chirp transform in O(nlgn) time?

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#polynomials #fourier-analysis #convolution #fourier-transform #fast-fourier-transform
198
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FFT butterfly diagram

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#computer-science #signal-processing #computational-mathematics #fast-fourier-transform
226
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Chossing a prime for fft of size $2^n$

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#fast-fourier-transform
1k
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Compute Fourier coefficients of spline fit to data

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#fourier-series #spline #fast-fourier-transform
90
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Analysis of a linear increase in standard divination. What might cause a linear increase in floating point error?

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#statistics #physics #mathematical-physics #data-analysis #fast-fourier-transform
210
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Why do we need real numbers for fast convolution on rational numbers?

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#algorithms #numerical-methods #polar-coordinates #convolution #fast-fourier-transform
360
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How to compute $p(x)=\prod_{k=0}^{n-1}(x-z_k)$ using the FFT with complexity of O(nlog^2 n)?

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#numerical-methods #fourier-analysis #fourier-transform #fast-fourier-transform
693
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Find the fourier series representation of a function

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#integration #fourier-analysis #fourier-series #fourier-transform #fast-fourier-transform
374
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Omitting twiddle factors in Cooley–Tukey FFT algorithm

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#reference-request #fourier-transform #fast-fourier-transform
1k
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Fourier Series: Music from a Piano vs Keyboard

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#fourier-analysis #matlab #wavelets #fast-fourier-transform
10.2k
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How does FFT work?

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#algorithms #fourier-analysis #fourier-transform #recursive-algorithms #fast-fourier-transform
1.6k
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NTT for fast multiplication of polynomials over a finite field, and the connection to polynomial evaluation

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#finite-fields #interpolation #fast-fourier-transform
922
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Why, traditionally, does FFT use complex numbers as a wrapper for magnitude and phase?

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#complex-numbers #fourier-analysis #fast-fourier-transform
177
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Period-based Fast Fourier transform

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#fourier-transform #fast-fourier-transform
53
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Does the fast Fourier transform have equivalents in other transforms?

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#fast-fourier-transform #mellin-transform

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