V2EX nyquist

Nyquist

释义 Definition

Nyquist(奈奎斯特):在信号处理与通信中常指奈奎斯特频率/奈奎斯特采样定理相关概念为避免混叠(aliasing),采样频率应至少是信号最高频率的两倍;而奈奎斯特频率通常指采样频率的一半。该词也可指瑞典裔美工程师 Harry Nyquist(哈里奈奎斯特)的姓氏。

发音 Pronunciation

/nakwst/

例句 Examples

The Nyquist frequency is half the sampling rate.
奈奎斯特频率是采样率的一半。

If we sample below the Nyquist rate, high-frequency components can fold into lower frequencies and cause aliasing.
如果采样低于奈奎斯特速率,高频成分可能折叠到低频并产生混叠。

词源 Etymology

Nyquist 来自人名,源于工程师 Harry Nyquist。他在20世纪早期对电报传输、带宽与采样相关问题做出关键贡献,后来“Nyquist rate / Nyquist frequency(奈奎斯特速率/频率)”等术语被用来纪念他的工作,并在数字信号处理与信息论中广泛沿用。

相关词 Related Words

文学与经典著作 Literary Works

  • Harry Nyquist(1928),Certain Topics in Telegraph Transmission Theory(讨论传输理论与速率限制,奠定“奈奎斯特”相关概念的基础)
  • Claude E. Shannon(1949),Communication in the Presence of Noise(在通信理论语境中讨论采样与带宽思想,常与奈奎斯特定理并提)
  • Alan V. Oppenheim & Alan S. WillskySignals and Systems(《信号与系统》:系统介绍奈奎斯特采样定理、频域与混叠)
  • John G. Proakis & Dimitris G. ManolakisDigital Signal Processing(《数字信号处理》:以工程角度讲解奈奎斯特准则及其应用)
  • Steven W. SmithThe Scientist and Engineer’s Guide to Digital Signal Processing(用通俗方式讲解奈奎斯特、采样与混叠)
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