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Engineering Brief

An Exact Harmonic Computing Technique for Polynomial Nonlinearities

Authors: Oo, Nay; Gan, Woon-Seng

AES Convention 132 · Paper 47 · April 2012

Abstract

An exact harmonic computing technique for polynomial nonlinearities is developed from first principles. By applying this technique, when an input sinusoid with arbitrary amplitude, frequency and phase information and a polynomial nonlinearity are given, the exact computation of DC component and output harmonics’ amplitudes, frequencies, and phases is computationally possible without discrete Fourier transform (DFT). Two basic mathematical results such as power of cosine and harmonic addition theorem are utilized to develop this technique.

Details

Published in
AES Convention 132
AES Convention
132
Paper number
47
Publication date
April 6, 2012
Affiliation
Fraunhofer Institute for Digital Media Technology; IDMT; Nanyang Technology University (See document for exact affiliation information.)
Type
Engineering Brief