Linear System

Roadmap

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 🏭 System🧵 Linear System⚙️ Applicationeg. Speech Recognition Systemeg. Dialogue Systemeg. Communication Systems"Hello"A system has input and outputss“How are you"“I'm fine"Persevering MultiplicationPersevering AdditionLxyLkxkyLx1y1Lx2y2Lx1+x2y1+y2Linear system have two propertiesMost system are (assumed to) be lineareg. ⚡️ Circuiteg. 🛰 Signal and SystemU = IRFTtimefrequency从系统到线性系统

  1. 系统：有输入，有输出。比如输入一段语言，系统进行语音辨识，输出对应的问题。
  2. 线性系统：线性可加性。也就是常见的$$f(k_1x_1+k_2x_2) = k_1f(x_1)+k_2f(x_2)$$。
  3. 应用：线性系统有良好的性质，在日常生活中经常使用，也对各个专业领域很有帮助。

Reference

[1] Linear Algebra Lecture 1: What are we going to learn?