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> |
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|<math> \Longrightarrow </math> |
|<math> \Longrightarrow </math> |
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|<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> |
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|Superposition |
|Superposition |
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|} |
|} |
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 |