# Thermal Noise Frequency & Gaussian Plot

1. Feb 9, 2014

### Mechatron

I want to develop a new model for calculating the frequency of thermal radiation.
It is generally accepted that thermal radiation emits white noise with all the frequencies within a certain bandwidth. But when white noise interferes with communication systems, it is carried on what is known as a carrier signal (e.g. radio signal). It is possible to calculate the noise voltage which would have an offset above and below the carrier signal. Thus it should be possible to calculate the frequency of the thermal radiation when it is traveling through the carrier signal.

Take a look at the Gaussian plot of white noise in the link below:

It has approximately 185 positive and 185 negative oscillations within 1 second, which means the frequency should be equal to 185 Hz. That's only a fraction of the bandwidth of the white noise, which is temperature dependent. The voltage is oscillating because the thermal radiation from the source is creating an alternating current.

Using this theorem, you can establish a relationship between the level of frequency disturbance and the amount of frequency that you would need to compensate for by using electronic components such as voltage regulators, capacitors and heatsinks. In other words, the measured frequency would be proportional to the required frequency compensation.

My only question is how this frequency would be compared with the actual frequency offset displayed on an oscillator (instrument).

Please give me some feedback on this.

Last edited: Feb 9, 2014