The Fourier Transform Applied to Sound

Nathan Ruffatto, Carroll College

The Fourier Transform is one of mathematics' most useful tools. In particular, it is very useful for studying and manipulating sound, as it turns a periodic function into one that represents that function's frequencies. Focuses of this project include analyzing the frequencies of sound waves over time and fitting trigonometric functions to periodic data. In particular, we take a look at data generated by the human voice.