# Is noise density over a bandwidth a measure of the noise's standard deviation?

Suppose I have a sensor which has a dominant white gaussian noise source, a $$\1\textit{unit}/\sqrt{Hz}\$$ noise density and a bandwidth of 100Hz. Then the noise becomes 10$$\units\$$. Is this a measure of the standard deviation of the noise? What exactly is $$\10units\$$ a measurement of?

In essence my question is, assuming a AWGN source with noise $$\10units, \$$ is it proper to say that this implies that the noise $$\w \sim N(0,10^2)\$$?

• I believe I am correct, and this answers my question – john morrison Jan 7 at 20:57
• The 10 units is a measure of the RMS noise. – Spehro Pefhany Jan 7 at 21:00