周期性和非周期性带限信号的衍生采样 - 傅立叶频谱和插值公式

IF 4.6 1区计算机科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Antennas and Propagation Pub Date : 2024-08-29 DOI:10.1109/TAP.2024.3449069

Olav Breinbjerg

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引用次数: 0

摘要

对于周期性和非周期性带限信号，通过对信号和信号导数进行采样，可以减少采样点的数量，从而使采样点之间的采样步长比标准的 Nyquist-Whittaker-Shannon-Kotelnikov-Someya 采样定理增加 2 倍。本文提出了基于信号采样和信号导数的傅里叶频谱闭式表达式和插值公式；周期信号的表达式是精确的，而非周期信号的表达式由于不可避免的截断误差而必然是近似的。

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Derivative Sampling of Periodic and Nonperiodic Band-Limited Signals — Fourier Spectrum and Interpolation Formula

For periodic and nonperiodic band-limited signals, the sampling of both the signal and the signal derivative enables the number of sampling points to be reduced and the sampling step between the sampling points, thus, increased by a factor of 2 compared to the standard Nyquist-Whittaker–Shannon-Kotelnikov–Someya sampling theorem. This article presents closed-form expressions for the Fourier spectra and the interpolation formulas based on sampling of signal and signal derivative; the expressions for periodic signals are exact, whereas the expressions for nonperiodic signals are necessarily approximate due to the unavoidable truncation error.

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来源期刊

IEEE Transactions on Antennas and Propagation 工程技术-电信学

CiteScore

10.40

自引率

28.10%

发文量

968

审稿时长

4.7 months

期刊介绍： IEEE Transactions on Antennas and Propagation includes theoretical and experimental advances in antennas, including design and development, and in the propagation of electromagnetic waves, including scattering, diffraction, and interaction with continuous media; and applications pertaining to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques