Linear Time Invariant System: Difference between revisions
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(New page: ==Linear Time Invariant Systems (LTI Systems)== A linear time invariant system is one that is linear (superposition and proportionality apply) and one that doesn't change with time. For e...) |
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===Eigenfunctions of an LTI System=== |
===Eigenfunctions of an LTI System=== |
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It is an interesting exercise to show that <math>e^j\omega t</math> are eigenfunctions of any LTI system. The eigenvalues are <math>\omega</math>. |
It is an interesting exercise to show that <math>e^{j\omega t}</math> are eigenfunctions of any LTI system. The eigenvalues are <math>\omega</math>. |
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Revision as of 22:13, 6 January 2010
Linear Time Invariant Systems (LTI Systems)
A linear time invariant system is one that is linear (superposition and proportionality apply) and one that doesn't change with time. For example a circuit with fixed capacitors, resistors, and inductors having an input and an output is linear and time invariant. If a capacitor changed value with time, then it would not be time invariant.
Eigenfunctions of an LTI System
It is an interesting exercise to show that are eigenfunctions of any LTI system. The eigenvalues are .
