Noise Temperature To Noise Figure Calculator

Enter the noise temperature into the calculator to determine the noise figure in decibels. This calculator can also convert noise figure to noise temperature.

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Noise Figure Formula

The noise figure (NF) relates to the noise temperature (T_e) and reference temperature (T₀) by the following formula:

NF = 10 \,\log_{10}\!\biggl(1 + \frac{T_e}{T_0}\biggr)

To find the noise temperature from a known noise figure, rearrange the equation:

T_e = T_0 \,\bigl(10^{NF/10} - 1\bigr)

Variables:

• NF is the noise figure in decibels (dB)
• T_e is the noise temperature in Kelvin (K)
• T₀ is the reference temperature in Kelvin (K), typically 290 K

What is Noise Temperature To Noise Figure?

Noise temperature expresses the noise power of a component as an equivalent temperature. Noise figure quantifies how much noise a component adds to a signal, expressed in decibels. Higher noise temperature corresponds to higher noise figure. The formulas above show how to convert between them.

How to Calculate Noise Temperature To Noise Figure?

Follow these steps to convert between noise temperature and noise figure:

1. Determine the known quantity: noise temperature (T_e) or noise figure (NF).
2. If calculating NF, use NF = 10 log₁₀(1 + T_e/T₀). If calculating T_e, use T_e = T₀(10^NF/10 − 1).
3. Substitute T_e and T₀ (standard 290 K) into the formula.
4. Compute the logarithm or exponential as required to find the result.
5. Use the calculator above to verify your answer.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Noise temperature (T_e) = 100 K

Reference temperature (T₀) = 290 K