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Reduction in Sampling-Point Numbers for 2-D Discrete Fourier Transform Used in Harmonic Balance Method

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1 Author(s)
Toshihiro Hori ; Dept. of Electron. & Control Eng., Nat. Inst. of Inf. & Commun. Technol., Hitachinaka

This paper discusses how to reduce the numbers of sampling points to obtain the 2-D discrete Fourier transform used in harmonic balance method. A method of embedding a 2-D Fourier transform into a 1-D one has already been proposed. This paper proposes a method of reducing the numbers of sampling points in a 1-D Fourier transform, by using bandpass sampling. A 2-D Fourier transform for harmonic balance method can be embedded into a 1-D one with a reduced number of sampling points by combining the previously proposed and the present methods. The extension of these methods to higher dimensional cases is also briefly discussed.

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IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:55 ,  Issue: 9 )