An Empirical Investigation Into the Time and Frequency Response Characteristics of Hopf Resonators

Fuente: arXiv
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Autores principales: Milligan, Keziah, Bailey, Nicholas J., Porr, Bernd
Formato: Preprint
Publicado: 2024
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author Milligan, Keziah
Bailey, Nicholas J.
Porr, Bernd
author_facet Milligan, Keziah
Bailey, Nicholas J.
Porr, Bernd
contents We present an empirical investigation of software developed by the Science and Music Research Group at the University of Glasgow. Initially created for musicological applications, it is equally applicable in any area where precise time and frequency information is required from a signal, without encountering the problems associated with the uncertainty principle. By constructing a bank of non-linear tuned resonators (`detectors'), each of which operates at a Hopf bifurcation, it is possible to detect frequencies within half a period of oscillation, even in the presence of wideband noise. The time and frequency response characteristics of these detectors will be examined here.
format Preprint
id arxiv_https___arxiv_org_abs_2407_13629
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An Empirical Investigation Into the Time and Frequency Response Characteristics of Hopf Resonators
Milligan, Keziah
Bailey, Nicholas J.
Porr, Bernd
Signal Processing
We present an empirical investigation of software developed by the Science and Music Research Group at the University of Glasgow. Initially created for musicological applications, it is equally applicable in any area where precise time and frequency information is required from a signal, without encountering the problems associated with the uncertainty principle. By constructing a bank of non-linear tuned resonators (`detectors'), each of which operates at a Hopf bifurcation, it is possible to detect frequencies within half a period of oscillation, even in the presence of wideband noise. The time and frequency response characteristics of these detectors will be examined here.
title An Empirical Investigation Into the Time and Frequency Response Characteristics of Hopf Resonators
topic Signal Processing
url https://arxiv.org/abs/2407.13629