Title :
Harmonic analysis of nonlinear devices for virtual bass system
Author :
Oo, Nay ; Gan, Woon-Seng
Author_Institution :
Digital Signal Process. Lab., Nanyang Technol. Univ., Singapore
Abstract :
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.
Keywords :
Chebyshev approximation; audio signal processing; harmonic analysis; harmonic generation; series (mathematics); Chebyshev polynomial; Taylor series; audio engineering; exponential typed nonlinear devices; harmonic generation; polynomial nonlinearity; polynomial typed nonlinear devices; psychoacoustic pitch perception; single tone mathematical harmonic analysis; total harmonic richness values; two tone mathematical harmonic analysis; virtual bass system; Chebyshev approximation; Equations; Frequency; Harmonic analysis; Humans; Loudspeakers; Polynomials; Power system harmonics; Psychology; Signal generators;
Conference_Titel :
Audio, Language and Image Processing, 2008. ICALIP 2008. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-1723-0
Electronic_ISBN :
978-1-4244-1724-7
DOI :
10.1109/ICALIP.2008.4590264
