Technical Reference Document
This technical reference explores the mathematical foundations of acoustics, focusing on three interconnected concepts: power spectral density, Fourier transforms, and periodicities. The document provides both theoretical understanding and practical applications for audio professionals and students of sound.
Topics covered include how sound energy distributes across frequencies, the mathematical machinery for converting between time and frequency domains, and the detection of hidden rhythmic patterns in acoustic phenomena.
This document serves as a foundational reference for understanding how mathematical tools reveal the structure of sound. It bridges theoretical concepts with practical applications in audio engineering, room acoustics design, and signal analysis.