Graduation Year
2013
Date of Submission
2013
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Deanna Needell
Rights Information
© 2013 Nathan Lenssen
Abstract
The discrete Fourier transform has become an essential tool in the analysis of digital signals. Applications have become widespread since the discovery of the Fast Fourier Transform and the rise of personal computers. The field of digital signal processing is an exciting intersection of mathematics, statistics, and electrical engineering. In this study we aim to gain understanding of the mathematics behind algorithms that can extract chord information from recorded music. We investigate basic music theory, introduce and derive the discrete Fourier transform, and apply Fourier analysis to audio files to extract spectral data.
Recommended Citation
Lenssen, Nathan, "Applications of Fourier Analysis to Audio Signal Processing: An Investigation of Chord Detection Algorithms" (2013). CMC Senior Theses. 704.
https://scholarship.claremont.edu/cmc_theses/704
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