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This chapter presents spectral analysis, including Fourier analysis, Fourier transform and its properties, the sampling theorem, Parseval’s theorem, average power and autocorrelation, Hilbert transform and its properties, and useful relations involving Hilbert transforms.

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Fourier and Hilbert Transforms

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  • 发表日期：

    2025年

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  • Marcelo Sampaio de Alencar,
  • Valdemar Cardoso da Rocha

摘要

This chapter presents spectral analysis, including Fourier analysis, Fourier transform and its properties, the sampling theorem, Parseval’s theorem, average power and autocorrelation, Hilbert transform and its properties, and useful relations involving Hilbert transforms.