A Constant-Fraction Discriminator for Sub-Nanosecond Timing - Detecting a signal pulse is usually basic electronics, but you start to find more... - https://hackaday.com/2025/05/08/a-constant-fraction-discriminator-for-sub-nanosecond-timing/ #constantfractiondiscriminator #signalprocessing #hardware #pulse

Let's talk about "#AI", #LLM, and #MachineLearning, which I don't put in quotes.
First, I am not anti-science, I am anti-JUNKscience and MARKETING, and there is a difference.
Why can I discuss a field I'm not in with some knowledge? I spent over 30 years in #geophysics, #SignalProcessing, and in #geology and #hydrology and #hydrogeology modelling. People doing this kind of work (along with #meteorology and #Climatology) are the progenitors of the current science. 1/

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

An Effects Pedal for Keyboards (and Mice) - Effects pedals for musical instruments like electric guitars can really expand a m... - https://hackaday.com/2023/08/21/an-effects-pedal-for-keyboards-and-mice/ #signalprocessing #musicalhacks #keyboard #effects #mouse #music #pedal #dsp #usb

This paper is quite remarkable. It starts with the mathematics of chirp signals, and concludes with the search for extraterrestrial intelligence https://arrow.tudublin.ie/engscheleart2/218/ #signalprocessing

A Quick Look at the Hilbert Transform - While the Fourier transform gets all the attention, there are other transforms tha... - https://hackaday.com/2023/07/09/a-quick-look-at-the-hilbert-transform/ #hilberttransform #signalprocessing #radiohacks #dsp

3D Printing Bio-Inspired Microphone Designs Based On Moth Ears - If many millions of years of evolution is good for anything, it is to develop micr... - https://hackaday.com/2023/05/24/3d-printing-bio-inspired-microphone-designs-based-on-moth-ears/ #signalprocessing #biomimetics #science

I have released sphstat v1.0, a #python package for spherical #statistics. The package implements functions for descriptive and inferential statistics as well as some modelling functions for vector data on the unit sphere. The package might be useful in a variety of fields such as #astronomy #earthscience #psychoacoustics # #paleomagnetics #signalprocessing and others. You can install it via pip or download/clone the source code from GitHub. https://github.com/hacihabiboglu/sphstat