Intuitive understanding of friis formula

  • Thread starter Thread starter sriecewit
  • Start date Start date
  • Tags Tags
    Formula
Click For Summary
SUMMARY

The discussion centers on the intuitive understanding of the Friis formula, particularly in relation to Low Noise Amplifiers (LNAs) in circuit design. Participants clarify that the Friis formula pertains to transmitter and receiver performance, emphasizing the significance of the first stage in an amplifier chain. The noise figure is critically influenced by the position of the LNA; placing it at the front end minimizes overall noise figure due to the amplification of both signal and noise from preceding stages. Thus, the placement of the LNA is crucial for optimizing signal-to-noise ratio (SNR).

PREREQUISITES
  • Understanding of the Friis transmission equation
  • Knowledge of Low Noise Amplifiers (LNAs)
  • Familiarity with signal-to-noise ratio (SNR) concepts
  • Basic principles of amplifier chain design
NEXT STEPS
  • Study the mathematical derivation of the Friis transmission formula
  • Explore the impact of LNA placement on noise figure in amplifier circuits
  • Learn about signal processing techniques to improve SNR
  • Investigate different types of amplifiers and their noise characteristics
USEFUL FOR

Electrical engineers, RF designers, and anyone involved in circuit design and optimization of signal processing systems.

sriecewit
Messages
14
Reaction score
0
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
 
Engineering news on Phys.org
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.
 
No changes
 
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.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
17
Views
5K
  • · Replies 33 ·
2
Replies
33
Views
6K
  • · Replies 79 ·
3
Replies
79
Views
7K
  • · Replies 5 ·
Replies
5
Views
5K
Replies
12
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K