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.
This paper costs $33 for non-members and is free for AES members and E-Library subscribers.
The Engineering Briefs at this Convention were selected on the basis of a submitted synopsis, ensuring that they are of interest to AES members, and are not overly commercial. These briefs have been reproduced from the authors' advance manuscripts, without editing, corrections, or consideration by the Review Board. The AES takes no responsibility for their contents. Paper copies are not available, but any member can freely access these briefs. Members are encouraged to provide comments that enhance their usefulness.