#fouriertransform — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fouriertransform, aggregated by home.social.
-
The #FourierTransform is used in so many applications it's not 𝘧𝘶𝘯𝘯𝘺 #math
-
🚫404, oh wait, it's a 403! Welcome to the riveting saga of "An Interesting Fourier Transform" where the plot twist is... you can't read it! 🙃 Spoiler alert: It's a nail-biting thriller about digital gatekeeping and the fine art of error documentation. 🔒
https://www.dsprelated.com/showarticle/40.php #DigitalGatekeeping #ErrorDocumentation #FourierTransform #TechThriller #HackerNews #ngated -
An Interesting Fourier Transform – 1/F Noise
https://www.dsprelated.com/showarticle/40.php
Comments: https://news.ycombinator.com/item?id=49205082
#HackerNews #FourierTransform #1FNoise #DSP #SignalProcessing #Mathematics
-
John Tukey the Fast Fourier Transform (FFT) inventor, who coined both "bit" and "software" died exactly 26 years ago today.
The Fast Fourier Transform (FFT), one of the most important algorithms in signal processing and data analysis, was introduced by Tukey & Cooley in 1965.
In 1805, Gauss - studying the orbits of asteroids Pallas and Juno - came up with a method to interpolate their trajectories from discrete samples. What he came up with was mathematically very close to the modern FFT but Gauss never published that work, and didn’t analyze its computational complexity. It predated even Fourier’s 1822 work on heat diffusion - but without the framing or generalization that Cooley & Tukey would bring 160 years later.
In 1965, Cooley & Tukey published their now-famous algorithm that reduced the cost of computing a Discrete Fourier Transform from 𝑂(𝑛²) to 𝑂(𝑛 log𝑛). This leap made real-time signal processing and digital media compression feasible.
From radio telescopes to JPEGs, from audio codecs to quantum mechanics - the FFT is everywhere. It’s one of the most important (and elegant) algorithms of the 20th century - rooted in the genius of Gauss, but brought to life in the computer age.
#JohnTukey #FastFourierTransform #FFT #SignalProcessing #ComputerScience #Mathematics #Algorithm #DataScience #DigitalSignalProcessing #FourierTransform #ComputationalScience #ScientificComputing #HistoryOfScience #Innovation #CarlFriedrichGauss #JosephFourier #JamesCooley #STEM #Engineering #ArtificialIntelligence #MachineLearning #QuantumComputing #ImageProcessing #AudioProcessing #Statistics #TechHistory #Computing #Science #InnovationLegacy #OnThisDay
-
Why Diffraction Gratings Create Fourier Transforms
-
My #genuary13 self portrait is defined entirely by parametric equations! Portrait in the first image, equations in the second. The equations were generated by tracing points from a photograph, then basically using an FFT algorithm to convert the coordinates into paremetric equations. Each feature (head, hair, eyes, etc.) is defined by a different path.
-
🥱 "The Unreasonable Effectiveness of the Fourier Transform" – where we dive into the thrilling realm of slide PDFs and expired patents. 🎉 Spoiler alert: it's just as riveting as it sounds! 📈🔧
https://joshuawise.com/resources/ofdm/ #UnreasonableEffectiveness #FourierTransform #SlidePDFs #ExpiredPatents #DataScience #HackerNews #ngated -
The Unreasonable Effectiveness of the Fourier Transform
https://joshuawise.com/resources/ofdm/
#HackerNews #UnreasonableEffectiveness #FourierTransform #SignalProcessing #Mathematics #Technology
-
The Unreasonable Effectiveness of the Fourier Transform https://hackaday.com/2026/01/07/the-unreasonable-effectiveness-of-the-fourier-transform/ #orthogonalfrequencydivisionmultiplexing #radiotelecommunications #fouriertransform #RadioHacks #cons #ofdm
-
🥤🤔 Ah, yes, the Fourier Transform: because who wouldn't want to compare calculus to making smoothies? 🍓🔍 Apparently, dense equations are out, and your blender is the new math professor. 📚✌️
https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/ #FourierTransform #SmoothieMath #CalculusFun #MathEducation #BlenderScience #HackerNews #ngated -
An Interactive Guide to the Fourier Transform
https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/
#HackerNews #FourierTransform #InteractiveGuide #MathEducation #SignalProcessing
-
🎉 Behold: the riveting tale of a Fourier Transform enthusiast, bravely venturing into the wilds of the internet, only to be heroically vanquished by the impenetrable fortress of website security! 🏰🔒 A saga of thwarted curiosity, with all the #drama of a garden-variety #CAPTCHA 🖼️—truly, the stuff of legends. 🌟
https://www.continuummechanics.org/fourierxforms.html #FourierTransform #InternetAdventure #WebsiteSecurity #HackerNews #ngated -
The ear does not do a Fourier transform
https://www.dissonances.blog/p/the-ear-does-not-do-a-fourier-transform
#HackerNews #TheEarDoesNotDoAFourierTransform #FourierTransform #SoundScience #HearingResearch #DissonancesBlog
-
Lnczos interpolation: the art of making pixels look vaguely coherent, now with extra confusion! 🤔✨ Spend hours squinting at resampled images, and still be unsure what a Fourier transform is. But hey, at least you get some "intuition"! 😂📉
https://mazzo.li/posts/lanczos.html #LnczosInterpolation #ImageResampling #FourierTransform #Confusion #Intuition #HackerNews #ngated -
What Is the Fourier Transform? - Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform?
[Shal... - https://hackaday.com/2025/09/12/what-is-the-fourier-transform/ #discretefouriertransform #fastfouriertransform #digitalaudiohacks #fouriertransform #softwarehacks #josephfourier -
🎶🎩 Behold, the mystical Fourier Transform, where mere mortals attempt to decode wave magic! 🧙♂️✨ Yet another Quanta quest to make you feel like an intellectual toddler lost in a cosmic calculus carnival. 🎢🤹♀️
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/ #FourierTransform #QuantaMagic #WaveDecoding #CosmicCalculus #IntellectualToddler #HackerNews #ngated -
🤔 Oh, the Fourier Transform, that magical incantation of sine waves that turns math nerds' brains into a bowl of spaghetti! 🍝 But don't worry, somewhere amidst the self-congratulatory blabbering, there's probably someone who actually understands it... probably. 📉
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/ #FourierTransform #MathNerds #SineWaves #Spaghetti #Understanding #HackerNews #ngated -
Pictures from Paper Reflections and a Single Pixel https://hackaday.com/2025/06/29/pictures-from-paper-reflections-and-a-single-pixel/ #compressedsensing #singlepixelcamera #fouriertransform #ArduinoHacks #optics
-
Pictures from Paper Reflections and a Single Pixel - Taking a picture with a single photoresistor is a brain-breaking idea. But go deep... - https://hackaday.com/2025/06/29/pictures-from-paper-reflections-and-a-single-pixel/ #compressedsensing #singlepixelcamera #fouriertransform #arduinohacks #optics
-
The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.
\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]
Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi
#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod
-
Is The Frequency Domain a Real Place? https://hackaday.com/2024/05/16/is-the-frequency-domain-a-real-place/ #fouriertransform #frequencydomain #Science
-
Is The Frequency Domain a Real Place? - When analyzing data, one can use a variety of transformations on the data to massa... - https://hackaday.com/2024/05/16/is-the-frequency-domain-a-real-place/ #fouriertransform #frequencydomain #science
-
Your Text Needs More JPEG - We’ve all been victims of bad memes on the Internet, but they’re not all just bad ... - https://hackaday.com/2024/03/19/your-text-needs-more-jpeg/ #discretecosinetransform #fouriertransform #softwarehacks #compression #javascript #lossifizer #lossy #jpeg #text #dct #fft
-
💡 Did you know that #FluidFFT lets you do much more than computing #FourierTransform and its inverse?
With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!
You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives
https://fluiddyn.netlify.app/intensely-edgy-cat-with-fluidfft
https://fluidfft.readthedocs.io/en/latest/generated/fluidfft.fft2d.operators.html
-
An Interactive Guide to Fourier Series.
