An exploration of extending Fourier series to non-periodic functions, leading to the Fourier transform concept.
QuadRF is a phased-array radio using Raspberry Pi 5 and FPGA to detect drones and see WiFi through walls, with open-source software for RF analysis.
Notes on the trigonometric Fourier series, including coefficient derivation and connection to linear algebra in Hilbert space.
Explores the Hilbert transform as an infinite matrix, linking Fourier series and block matrix multiplication.
Analysis of a malfunctioning bathroom extractor fan's grinding noise using signal processing and chaotic dynamics.
A guide to the Lomb-Scargle periodogram, explaining its use, common misconceptions, and practical considerations for analyzing astronomical data.
A technical article presenting a mathematical function for creating smooth, differentiable pulses, with R code examples.
An exploration of the Cooley-Tukey Fast Fourier Transform (FFT) algorithm, its underlying principles, and a Python implementation from scratch.
