V2EX lti-system

LTI System

释义 Definition

LTI system 常指线性时不变系统(Linear Time-Invariant system):一种在工程与信号处理/控制理论中常见的系统模型,满足两点:

  1. 线性:输入的叠加与缩放会对应到输出的叠加与缩放;
  2. 时不变:把输入整体延迟(或平移)后,输出也会以同样方式延迟(系统性质不随时间改变)。
    (在某些教育技术语境中,LTI 也可能指 Learning Tools Interoperability,但“LTI system”在工程语境更常见为线性时不变系统。)

发音 Pronunciation (IPA)

/l ti a sstm/

例句 Examples

An LTI system can be described by its impulse response.
LTI 系统可以用它的冲激响应来描述。

Because the filter is assumed to be an LTI system, we can analyze it using convolution and the frequency response.
由于该滤波器被假设为 LTI 系统,我们可以用卷积与频率响应来分析它。

词源 Etymology

LTI 是三个词的首字母缩写:Linear(线性) + Time-Invariant(时不变)。这一表述在 20 世纪的控制工程与信号处理发展中被广泛标准化,用来描述一大类便于分析、可用卷积与傅里叶工具处理的系统模型。

相关词 Related Words

文学/著作中的用例 Notable Works

  • Signals and Systems(Alan V. Oppenheim, Alan S. Willsky):系统性讲解 LTI 系统、冲激响应、卷积与频域分析。
  • Linear Systems and Signals(B. P. Lathi):以 LTI 系统为核心框架介绍信号与系统理论。
  • Modern Control Engineering(Katsuhiko Ogata):在经典控制部分大量使用 LTI 系统模型与传递函数方法。
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