V2EX transfer-function

TRANSFER FUNCTION

定义 Definition

transfer function(传递函数):在控制工程与信号处理里,用来描述一个系统在频域中“输入与输出之间关系”的数学表达,通常写作 **H(s)=Y(s)/X(s)**(拉普拉斯域)或 **H(z)**(离散系统的 Z 域)。它强调系统对不同频率成分的放大、衰减与相位变化。(在其他领域也可能有引申用法,但最常见的是工程中的这个意义。)

发音 Pronunciation (IPA)

/trnsf fkn/

例句 Examples

A transfer function shows how the output depends on the input in the frequency domain.
传递函数展示了在频域中输出如何依赖输入。

Using the transfer function, we can predict the system’s response and design a controller to improve stability.
借助传递函数,我们可以预测系统响应,并设计控制器来提高稳定性。

词源 Etymology

transfer 源自拉丁语 transferre,意为“搬运、转移(trans- ‘跨越’ + ferre ‘携带’)”;function 源自拉丁语 functio,意为“执行、作用”。合在一起,transfer function 字面可理解为“描述(系统)如何把输入‘转移’为输出的函数”,后来成为控制理论与系统分析中的标准术语。

相关词 Related Words

文学与经典著作 Literary Works

  • Ogata, Modern Control Engineering(《现代控制工程》)
  • Franklin, Powell & Emami-Naeini, Feedback Control of Dynamic Systems
  • Oppenheim & Willsky, Signals and Systems(《信号与系统》)
  • Lathi, Linear Systems and Signals
  • Dorf & Bishop, Modern Control Systems(《现代控制系统》)
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