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.
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.
