Graduation Year
2011
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Jon T. Jacobsen
Reader 2
Rachel Levy
Rights Information
© 2011 Kate M. Burgers
Abstract
The task of finding the beat in music is simple for most people, but surprisingly difficult to replicate in a robot. Progress in this problem has been made using various preprocessing techniques (Hitz 2008; Tomic and Janata 2008). However, a real-time method is not yet available. Methods using a class of oscillators called relay relaxation oscillators are promising. In particular, systems of forced Hopf oscillators (Large 2000; Righetti et al. 2006) have been used with relative success. This work describes current methods of beat tracking and develops a new method that incorporates the best ideas from each existing method and removes the necessity for preprocessing.
Recommended Citation
Burgers, Kate M., "Finding the Beat in Music: Using Adaptive Oscillators" (2011). HMC Senior Theses. 3.
https://scholarship.claremont.edu/hmc_theses/3
Included in
Dynamical Systems Commons, Music Commons, Non-linear Dynamics Commons, Other Applied Mathematics Commons
