Intuitive understanding of friis formula

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Discussion Overview

The discussion revolves around the intuitive understanding of the Friis formula, particularly in the context of noise figure in amplifier circuits. Participants explore how the placement of a Low Noise Amplifier (LNA) affects the overall noise characteristics of a system.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks clarity on why the noise figure decreases when the LNA is placed at the front-end of a circuit compared to when it is positioned later in the circuitry.
  • Another participant argues that the Friis formula pertains to transmitters and receivers, not to noise in amplifier chains, suggesting a fundamental misunderstanding of the application of the formula.
  • A participant points out that the LNA amplifies all signals from previous stages, including noise, which could impact the overall noise figure.
  • There is a question raised about whether the placement of the LNA truly matters if the same hardware and signal are used, indicating uncertainty about the implications of the Friis formula in this context.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of the Friis formula to noise figure in amplifier chains, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

There are limitations in understanding the relationship between the placement of the LNA and the noise figure, as well as the application of the Friis formula to this specific scenario. The discussion reflects a lack of consensus on these points.

sriecewit
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Hi Guys,

Can anyone help me with the intuitive understanding of the friis formula?

I'm not able to contemplate the fact that when you put LNA in the front-end of a circuit, overall noise figure is less.
The same hardware, you put it after a few circuitry, the noise figure goes up.

How can the same component cause so much change in noise characteristics of a system when you change its position?

Thanks,
Srini
 
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Wrong answer to wrong thread

Friis is about transmitters/receivers and not noise in amplifier chains. Two different things.

In Friis, you have 1/4pi R2, which should scream out the obvious: solid angle at a distance. That with antenna gain should be pretty clear: 1/R2 losses with antenna performance.

A amplifier chain is only as quiet/non-noisy as the first stage because noise is uncorrelated so you can't magically remove it once it's there so you will be simply amplifying the noise and the signal after the first stage. So the SNR has to be on the first stage or the LNA goes first.
 
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Last edited:
Quick comment,
The LNA will amplify everything coming from previous stages, including noise generated in previous stages.
 
jambaugh said:
Quick comment,
The LNA will amplify everything coming from previous stages, including noise generated in previous stages.
yeah. So practically speaking, does it really matter if you put it in the beginning or later? Its the same hardware and same signal flowing. So you would eventually get the similar signal output right? I'm still not convinced with the mathematics of friis formula.
 

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