The Game: Difference between revisions
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*[[Signals and systems|Signals and Systems]] |
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The Game as mentioned in class starts with a Linear time invariant system and the impulse response of that system |
The Game as mentioned in class starts with a Linear time invariant system and the impulse response of that system |
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<br> |
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u(t)------->h(t) |
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<table border="1"> |
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<tr> |
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<td><b><U>Mathematical Property</u></b></td> |
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<td><math>Input \Longrightarrow Output</math></td> |
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</tr> |
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<tr> |
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<td>Given</td> |
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<td><math>\delta\ (t)\Longrightarrow h(t)</math></td> |
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</tr> |
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<tr> |
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<td>Time Invariance</td> |
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<td><math>\delta\ (t-u)\Longrightarrow h(t-u)</math></td> |
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</tr> |
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<tr> |
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<td>Proportionality</td> |
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<td><math>f(u)*\delta\ (t-u)\Longrightarrow f(u)*h(t-u)</math></td> |
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</tr> |
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<tr> |
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<td>Linearity</td> |
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<td><math>\int_{-\infty}^{\infty}f(u)*\delta\ (t-u)\,du\Longrightarrow \int_{-\infty}^{\infty}f(u)*h(t-u)\,du</math></td> |
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</tr> |
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</table> |
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[[user:sherna|Nathan Sherman]] |
[[user:sherna|Nathan Sherman]] |
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Latest revision as of 06:53, 10 October 2006
The Game as mentioned in class starts with a Linear time invariant system and the impulse response of that system
| Mathematical Property | |
| Given | |
| Time Invariance | |
| Proportionality | |
| Linearity |
