Corrections to Friis noise factor formulas for cascade networks
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916790734422016 |
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| author | Bangera, Ankitha E |
| author_facet | Bangera, Ankitha E |
| contents | The signal-to-noise ratio of a multistage cascade network is often estimated using the well-known Friis' formulas for noise factors (or the noise figures in decibels). However, this article addresses the major errors in Friis' noise factor formulas for higher stages. Additionally, we re-derive the correct formulas to calculate the stage-wise noise factors for cascade networks from the basic definition of noise factors. We then present a comparison of our derived formulas with Friis' noise factor formulas. Contrary to Friis' formula, we define the total noise factor of an n-stage cascade network as the product of its stage-wise noise factors. We further validate our derived formulas for a cascade network by correlating them with the expressions for a staircase avalanche photodiode. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09900 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Corrections to Friis noise factor formulas for cascade networks Bangera, Ankitha E Signal Processing Information Theory Applied Physics Instrumentation and Detectors The signal-to-noise ratio of a multistage cascade network is often estimated using the well-known Friis' formulas for noise factors (or the noise figures in decibels). However, this article addresses the major errors in Friis' noise factor formulas for higher stages. Additionally, we re-derive the correct formulas to calculate the stage-wise noise factors for cascade networks from the basic definition of noise factors. We then present a comparison of our derived formulas with Friis' noise factor formulas. Contrary to Friis' formula, we define the total noise factor of an n-stage cascade network as the product of its stage-wise noise factors. We further validate our derived formulas for a cascade network by correlating them with the expressions for a staircase avalanche photodiode. |
| title | Corrections to Friis noise factor formulas for cascade networks |
| topic | Signal Processing Information Theory Applied Physics Instrumentation and Detectors |
| url | https://arxiv.org/abs/2506.09900 |