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The Fourier series of a periodic waveform defines its spectrum or frequency content. When this waveform passes through a filter, the spectrum changes according to the transfer function magnitude and phase at each harmonic frequency. Average power, RMS values, and total harmonic distortion can be expressed in terms of the Fourier coefficients.

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Some Applications of Fourier Series

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  • 发表日期：

    2026年

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  • Robert W. Erickson

摘要

The Fourier series of a periodic waveform defines its spectrum or frequency content. When this waveform passes through a filter, the spectrum changes according to the transfer function magnitude and phase at each harmonic frequency. Average power, RMS values, and total harmonic distortion can be expressed in terms of the Fourier coefficients.