V2EX transfer function

Transfer Function

释义 Definition

传递函数:在控制理论与信号处理里,用来描述线性时不变系统(LTI)输入输出的关系的数学表达式,常写作
\( G(s)=\dfrac{Y(s)}{U(s)} \)(拉普拉斯域)或 \( H(j\omega) \)(频域)。它能帮助分析系统的增益、相位、稳定性等。(在不同领域也可能有更泛化用法,但工程中以上含义最常见。)

发音 Pronunciation (IPA)

/trnsf fkn/

例句 Examples

We modeled the amplifier with a transfer function.
我们用传递函数对该放大器进行建模。

By taking the Laplace transform of the differential equation, we derived the transfer function and analyzed the system’s stability.
通过对微分方程做拉普拉斯变换,我们推导出传递函数并分析了系统的稳定性。

词源 Etymology

transfer 源自拉丁语 transferre(*trans-*“跨越” + ferre“携带/带来”),有“转移、传送”之意;function 源自拉丁语 functio,与“执行、作用”相关。组合成 transfer function,字面可理解为“描述(作用/功能)如何从输入传到输出的函数”,在20世纪控制工程与通信/信号处理发展中成为核心术语。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Modern Control Engineering(Katsuhiko Ogata)
  • Modern Control Systems(Richard C. Dorf & Robert H. Bishop)
  • Feedback Control of Dynamic Systems(Franklin, Powell & Emami-Naeini)
  • Signals and Systems(Oppenheim, Willsky & Nawab)
  • Control Systems Engineering(Norman S. Nise)
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