Energy in a signal: Difference between revisions

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: <math> W = \int_{-\infty}^{\infty} P(t)\,dt</math>
: <math> W = \int_{-\infty}^{\infty} P(t)\,dt</math>


===Energy of a signal===
===Energy of a Signal===
From circuit analysis we know that the power generated by voltage source is,
From circuit analysis we know that the power generated by voltage source is,
: <math>P(t) = {\mathbf{V}^2(t) \over R}</math>
: <math>P(t) = {\mathbf{V}^2(t) \over R}</math>

Revision as of 20:56, 10 October 2006

Definition of Energy

Energy is the ability or potential for something to create change. Scientifically energy is defined as total work done by a force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,

Power represents a change in energy.

This means we can also write energy as

Energy of a Signal

From circuit analysis we know that the power generated by voltage source is,

Assuming that R is 1 then the total energy is just,


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