Noise Figure
\[NF=\frac{S_i/N_i}{S_o/N_o}\]

Variables

NFnoise figure
Siinput signal power (W)
Niinput noise power (W)
Sooutput signal power (W)
Nooutput noise power (W)

Description

What is this formula?

Noise Figure (NF) quantifies how much a communication device degrades the signal-to-noise ratio as a signal passes through it. It compares the input SNR to the output SNR.


When to use it

Use this formula when evaluating amplifiers, receivers, low-noise amplifiers (LNAs), communication equipment, and RF systems where noise performance is critical.


Example

An amplifier receives a signal with an input SNR of 1000 and delivers an output SNR of 250.


Formula:


NF = (Si/Ni)/(So/No)


Substitution:


NF = 1000/250


Result:


NF = 4


NF = 6.02 dB


Applications

RF amplifiers, satellite receivers, radio astronomy, wireless communication systems, microwave links, receiver design, and telecommunications testing.


Note

Noise Figure is typically reported in decibels using NFdB = 10·log10(NF). An ideal noiseless device has NF = 1 (0 dB). Real devices always introduce additional noise, causing NF to exceed unity. Different measurement methods and reference temperatures may lead to slight variations in reported values.

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