👉 Audio math, also known as audio signal processing or signal analysis, involves applying mathematical principles to analyze and manipulate sound waves. It uses concepts from calculus, linear algebra, and Fourier analysis to decompose audio signals into their frequency components. For instance, the Fourier transform converts a time-domain signal (like an audio waveform) into its frequency-domain representation, revealing the amplitude and phase of each frequency. This allows for tasks like filtering (removing unwanted frequencies), compression (reducing data by focusing on significant frequencies), and equalization (adjusting frequency levels). By understanding these mathematical relationships, audio engineers can design better speakers, create realistic sound effects, and develop efficient audio coding algorithms, such as those used in MP3 compression.
