2013/06/11 by Nathan Lenssen, Lenssen, Nathan, Deanna Needell +1
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #History and Overview (math.HO) #Sound (cs.SD) #cs.SD #math.HO
paper · pdf · doi:10.48550/arxiv.1306.2859
arxiv created 2013/06/11 · arxiv updated 2013/06/13
Mathematics is a far reaching discipline and its tools appear in many applications. In this paper we discuss its role in music and signal processing by revisiting the use of mathematics in algorithms that can extract chord information from recorded music. We begin with a light introduction to the theory of music and motivate the use of Fourier analysis in audio processing. We introduce the discrete and continuous Fourier transforms and investigate their use in extracting important information from audio data.