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Fourier analysis yields the spectrum of a waveform. Periodic signals can be represented by a Fourier series, which is a sum of sinusoidal harmonics. Rectangular, polar, and exponential forms of the Fourier series are derived, and waveform symmetries are exploited to simplify determination of harmonic amplitudes.

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Fourier Series

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  • 发表日期：

    2026年

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  • Robert W. Erickson

摘要

Fourier analysis yields the spectrum of a waveform. Periodic signals can be represented by a Fourier series, which is a sum of sinusoidal harmonics. Rectangular, polar, and exponential forms of the Fourier series are derived, and waveform symmetries are exploited to simplify determination of harmonic amplitudes.