Thermal Noise Frequency & Gaussian Plot

• Mechatron
In summary, developing a new model for calculating the frequency of thermal radiation involves considering factors such as the variability of thermal radiation, the type of carrier signal, and the accuracy of frequency measurement.
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:

Hello,

Thank you for your interest in developing a new model for calculating the frequency of thermal radiation. Your approach of using the Gaussian plot of white noise to determine the frequency is a good starting point. However, there are a few factors that you should consider in order to refine your model.

Firstly, thermal radiation is not always emitted as white noise. It can also have a specific frequency or a range of frequencies depending on the temperature of the source. This means that the frequency of thermal radiation can vary and may not always be equal to 185 Hz as suggested by your calculation. It would be beneficial to incorporate this variability into your model.

Secondly, the carrier signal that you mentioned is not always a radio signal. It can also be a light signal or any other type of signal used for communication. Therefore, the frequency of the carrier signal may also vary and should be taken into account in your calculations.

Additionally, the amount of frequency disturbance and the required frequency compensation may not always be directly proportional. There are other factors such as the distance between the source of thermal radiation and the receiver, the sensitivity of the communication system, and the type of electronic components used for compensation that can affect this relationship.

In terms of comparing the measured frequency with the actual frequency offset displayed on an oscillator, it would be helpful to have a reference standard or a calibration method to ensure accuracy. This could involve using a known frequency source to calibrate the oscillator and then comparing the measured frequency with the calibrated value.

1. What is thermal noise frequency?

Thermal noise frequency refers to the random fluctuations in electrical signals caused by thermal energy. It is also known as Johnson noise or Nyquist noise, and it is present in all electronic systems.

2. How is thermal noise frequency measured?

Thermal noise frequency is typically measured using a spectrum analyzer, which can detect and analyze the frequency components of a signal. The spectrum analyzer displays the noise power as a function of frequency, allowing for the identification of thermal noise frequency.

3. What is a Gaussian plot?

A Gaussian plot, also known as a normal distribution, is a type of probability distribution that is commonly used to represent random variables. It is characterized by a symmetrical bell-shaped curve, with the majority of the data clustered around the mean value.

4. How is a Gaussian plot related to thermal noise?

Thermal noise follows a Gaussian distribution, meaning that the majority of the noise power is concentrated around the mean frequency. This allows for the prediction and analysis of thermal noise in electronic systems.

5. How can thermal noise frequency affect electronic systems?

Thermal noise frequency can affect electronic systems in several ways. It can decrease the signal-to-noise ratio, leading to errors in data transmission and reception. It can also introduce unwanted noise in sensitive electronic components, resulting in reduced performance and reliability.

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