Simple RLC circuit models of guitar pickups do not account for audible features that characterize the pickup. Psycho-acoustic experiments reveal that any acoustically accurate model has to reproduce the first 30 milli-seconds of the transient response with extreme precision. The proposed model is impractical for simple-minded model reduction or brute force numerical simulations yet, by focusing on modeling electromagnetic details and exposing a connection to spectral graph theory, a framework for finding the transient response to sufficient accuracy is exposed.
Cite
@article{arxiv.1508.01246,
title = {Inter-winding Distributed Capacitance and Guitar Pickup Transient Response},
author = {P. Robert Kotiuga},
journal= {arXiv preprint arXiv:1508.01246},
year = {2015}
}
Comments
Four pages, no figures. This paper is associated to a conference presentation given at CEFC 2014 in Annecy France; the posted preprint is from October 2014, and the data for the final publication can be found below