Harmonic analysis of nonlinear devices for virtual bass system

Nonlinear devices (NLDs) are commonly used to generate specific harmonics in the virtual bass system. However, a detailed mathematical analysis of these NLDs in virtual bass system is still lacking. In this paper, a single tone and two tones mathematical harmonic analysis of polynomial and exponential typed NLDs are presented. Mathematical tools such as Taylor Series and Chebyshev Polynomials are used to derive a mathematical series of harmonic generated from NLDs. MATLAB numerical calculations were performed using the harmonic analysis equations. Total Harmonic Richness (THR) values were calculated. Region of dominance from psychoacoustic pitch perception findings were related with this paper findings to show the construction of tailor-made NLDs using polynomial nonlinearities.