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An Exact Harmonic Computing Technique for Polynomial Nonlinearities

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.

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