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Ubify Core Engineering Team

SOFTWARE ENGINEERS & SYSTEMS ARCHITECTS

~2 min read
~344 words
VERIFIED NOVEMBER 2026
Verified for W3C & ECMA-404 Standard Compliance

About This Tool

Cascaded RF Noise Figure & Friis Amplifier Sensitivity Sizer evaluates a three-variable mathematical ratio using load, operating coefficient, and safety factor inputs.

### Implemented Calculation Logic The tool evaluates the following formulas: 1. **Design Result:** $$\text{Result} = \frac{\text{Primary Load} \times \text{Operating Coefficient}}{\text{Safety Factor}}$ 2. **Root Factor:** $$\text{Root Factor} = \sqrt{\text{Primary Load} \times \text{Operating Coefficient}}$ 3. **Efficiency Rating:** $$\text{Efficiency (\%)} = \frac{\text{Primary Load}}{\text{Primary Load} + \text{Operating Coefficient}} \times 100$

### Note on Multi-Stage RF Friis Analysis This utility computes a baseline index ratio based on the three entered numbers. In RF communications engineering, the true Friis formula for cascaded multi-stage noise factor ($F_{\text{total}} = F_1 + \frac{F_2 - 1}{G_1} + \frac{F_3 - 1}{G_1 G_2}$) requires stage-by-stage linear noise factors ($F = 10^{\text{NF}/10}$) and available power gains ($G = 10^{\text{Gain}/10}$) to analyze low-noise amplifier (LNA) receiver front ends.

### Worked Numeric Example Using default inputs: - **Primary Dimension / Load ($L$):** 100 - **Operating Coefficient ($C$):** 20 - **Safety / Rate Factor ($S$):** 5 - **Calculated Result:** $(100 \times 20) / 5 = 2,000 / 5 = 400.00$. - **Root Factor:** $\sqrt{100 \times 20} = \sqrt{2,000} \approx 44.72$. - **Efficiency Rating:** $[100 / (100 + 20)] \times 100 = 83.3\%$.

### In-Browser Calculation Note All equations evaluate directly in your browser JavaScript environment. No RF circuit values or engineering specifications leave your machine.

How to Use

  1. 1

    Enter the primary parameter value into the Primary Dimension / Load field (default: 100).

  2. 2

    Provide the operating coefficient (default: 20).

  3. 3

    Specify the safety or rate factor (default: 5).

  4. 4

    Review the calculated design output, geometric mean root factor, and efficiency percentage.

Frequently Asked Questions

What formula does the Calculated Result field execute?

It evaluates (Primary Load × Operating Coefficient) / Safety Factor.

Does this calculator model stage-by-stage amplifier dB noise figures?

No. This component computes a three-variable ratio. For detailed receiver link budgets, RF engineers must convert decibel noise figures to linear factors and solve the full multi-stage Friis cascade equation.

Are any circuit values sent to an external server?

No. All calculations run strictly in client-side JavaScript.

    Cascaded RF Noise Figure & Sizer | Ubify Tools