# Noise

A voltage signal applied across a resistor dissipates instantaneous power

(1)

For a periodic signal of period (T), The average power is obtained by integrating over one cycle

(2)

For a random signal, the average power is obtained by integrating over infinitely time

(3)

To simplify calculations, the average power of a random signal () is expressed as

(4)

For a random process, the auto-correlation function is defined as

(5)

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