Energy in a signal
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 a voltage source is,
Assuming that R is 1 then the total energy is just,
This can be written using bra-ket notation as
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