10/3,6 - The Game: Difference between revisions

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|<math> x(t) = \int_{-\infty}^{\infty} x(\lambda) \delta (t-\lambda)\, dx</math>
|<math> x(t) = \int_{-\infty}^{\infty} x(\lambda) \delta (t-\lambda)\, dx</math>
|<math> \Longrightarrow </math>
|<math> \Longrightarrow </math>
|<math> \int_{-\infty}^{\infty} x(\lambda)h(t-\lambda)\, dx</math>
|<math> \underbrace{\int_{-\infty}^{\infty} x(\lambda)h(t-\lambda)\, dx}_{Convolution Integral}</math>
|Superposition
|Superposition
|}
|}

Revision as of 16:35, 11 November 2008

The Game

The idea behind the game is to use linearity (superposition and proportionality) and time invariance to find an output for a given input. An initial input and output are given.

Input LTI System Output Reason
Given
Time Invarience
Proportionality
Superposition