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Signals and Systems by Smarajit Ghosh

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3.6 ENERGY DENSITY AND POWER SPECTRAL DENSITY

In signal processing and identification, the concept of energy and power of a signal are often used.

3.6.1 Energy in a Signal

The energy over t = ∞ and t = − ∞ expanded in resistance (R) after applying a voltage e(t) can be expressed as

 

image

 

This energy is called as normalized energy for R = 1Ω.

Therefore, the energy in a signal f(t) by analogy we can write

 

image

 

The signal is said to be energy signal if the energy is finite.

For energy signal, and it always satisfies the absolute integrability criterion ...

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