Abstract
A way of positionings of data sampling points is proposed to reduce the data for discrete Fourier transforms (DFTs) used in the two-di- mensional (2-D) harmonic balance method, which was developed for han- dling the frequency-mixing characteristics of nonlinear electric circuits. First, it is shown that the 2-D DFT is equivalent to the one-dimensional one and that the two DFTs correspond. Then, processing the data by changing the numbers and positions of the sampling points is demonstrated, con- sidering the highest order of important frequency components. Even slight deviations of sampling positions are useful for efficiently calculating a DFT. Index Terms—DFT, Fourier analysis, harmonic balance method, two-di- mensional (2-D).
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