Alexandria Library

A curated collection of awesome articles

Here are some ressources related to Fourier transform, Signal processing, Frequency analysis. Hoping you will find learning material, alternative tools or just some interesting stuff.

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Articles

An Interactive Introduction to Fourier Transforms (2019)

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Introduction to the Fourier transform for image processing (2001)

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Generalizations of Fourier analysis (2021)

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Nyquist Frequency

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The Fourier Transform, explained in one sentence (2014)

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Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications

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Demystifying Fourier analysis

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Antenna Theory

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Wavelets allow researchers to transform and understand data

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An Interactive Guide to the Fourier Transform (2012)

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Why is it a bad idea to filter by zeroing out FFT bins? (2020)

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An Interactive Introduction to Fourier Transforms

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My Fourier Epicycles

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An Introduction to Sine-Wave Speech (2007)

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How Antennas Work

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Single Tone Detection with the Goertzel Algorithm (2012)

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How Radar Works

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An Interactive Introduction to Fourier Transforms

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Antenna Theory (2016)

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An Interactive Introduction to Fourier Transforms

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Using Fourier Transforms to Multiply Numbers

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Show HN: A minimal FFT code

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Geometric intuition for digital audio filters

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Understanding Image Sharpness (2003)

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Drawing an elephant with four complex parameters (2008)

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Fourier transforms of images (2017)

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Intro to SDR and RF Signal Analysis

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Riemann Zeta function visualizations with Python

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Fourier transform – A math tool used in optics, MP3s, JPEGs and more (2013)

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The Fourier Transform and its Applications

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Decomposing a function into its even and odd parts

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An Interactive Guide to the Fourier Transform

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Everyday DSP for Programmers: Signal Envelopes

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Seeing Circles, Sines and Signals – A DSP Primer

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Show HN: Interactive Essay on Signals, Sampling and the Fourier Transform

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Fourier transform for dummies

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Fourier Transforms – The Math Trick Behind MP3s, JPEGs, and Homer Simpson’s Face

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Understanding the FFT Algorithm

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The Fast Fourier Transform

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The faster-than-fast Fourier transform

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Mastering The Fourier Transform in One Day

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Mastering The Fourier Transform in One Day

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An interactive guide to the Fourier transform (2012)

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An interactive guide to Fourier series (2022)

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Not so fast, Mr. Fourier

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Is the frequency domain a real place?

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An animated introduction to Fourier series

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Convolutions, Fast Fourier Transform and polynomials (2022)

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The Fourier Uncertainty Principles [pdf] (2021)

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