Exact Tonal Analysis on Polynomials (ETAP) for Computational Harmonic Analysi

Abstract

A computational harmonic analysis technique, ETAP is developed from the first principle. A closed-form formula for harmonics addition is presented in this paper as the Harmonic Addition Theorem (HAT). Power of cosine formula is applied with mathematical pattern such as checker box triangle (CBT) to exactly compute the amplitude and phase of the harmonics at the output of a polynomial nonlinearity.