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What does the integral of the Power Spectral Density (PSD) of a signal over all frequencies represent?
Question

What does the integral of the Power Spectral Density (PSD) of a signal over all frequencies represent?

A.

The signal's average power

B.

The total energy of the signal

C.

The peak power of the signal

D.

The bandwidth of the signal

Correct option is A

The Power Spectral Density (PSD) function describes how the power of a signal is distributed over different frequency components. The total area under the PSD curve, obtained by integrating it over all frequencies (from negative to positive infinity), equals the average power of the signal. This is an application of Parseval's theorem or the Wiener-Khinchin theorem for power signals.

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