Quick Answer
Calculate Optical Amplifier Cascaded Gain and Noise Figure Budget Calculator
Calculator
Result Interpretation
Optical Amplifier Cascaded Gain and Noise Figure Budget Calculator computes Cascaded gain and noise figure budget in dB using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- First amplifier gain = 20
- Second amplifier gain = 20
- Third amplifier gain = 20
- First amplifier noise figure = 4
- Second amplifier noise figure = 4
- Third amplifier noise figure = 4
Expected Result:
- Cascaded gain and noise figure budget = 138.45363491702
Engineering Interpretation:
Under the given input conditions, the calculated result is: Cascaded gain and noise figure budget = 138.45363491702 dB.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
cascaded gain and noise figure budget = 10 * log(pow(10, first amplifier gain/10) * pow(10, second amplifier gain/10) * pow(10, third amplifier gain/10)) + 10 * log(1 + (first amplifier noise figure - 1)/pow(10, first amplifier gain/10) + (second amplifier noise figure - 1)/pow(10, (first amplifier gain + second amplifier gain)/10) + (third amplifier noise figure - 1)/pow(10, (first amplifier gain + second amplifier gain + third amplifier gain)/10))Formula family: formula_telecom_optical_amplifier_cascaded_gain_noise_figure_budget_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| G1 | First amplifier gain | INPUT | First amplifier gain |
| G2 | Second amplifier gain | INPUT | Second amplifier gain |
| G3 | Third amplifier gain | INPUT | Third amplifier gain |
| NF1 | First amplifier noise figure | INPUT | First amplifier noise figure |
| NF2 | Second amplifier noise figure | INPUT | Second amplifier noise figure |
| NF3 | Third amplifier noise figure | INPUT | Third amplifier noise figure |
| result | Cascaded gain and noise figure budget | OUTPUT | Cascaded gain and noise figure budget |
Calculation Steps
- Enter the first amplifier gain in dB.
- Enter the second amplifier gain in dB.
- Enter the third amplifier gain in dB.
- Enter the first amplifier noise figure in linear.
- Enter the second amplifier noise figure in linear.
- Enter the third amplifier noise figure in linear.
- Step 1: Compute cascaded gain and noise figure budget.
- Read the cascaded gain and noise figure budget (dB) from the results.
Engineering Summary
Calculate Optical Amplifier Cascaded Gain and Noise Figure Budget Calculator
Frequently Asked Questions
What does this calculator calculate?
The Optical Amplifier Cascaded Gain and Noise Figure Budget Calculator estimates Cascaded gain and noise figure budget based on the input parameters you provide
Why is first amplifier gain important in this calculation?
first amplifier gain is directly proportional to cascaded gain and noise figure budget. When you enter first amplifier gain in dB, the calculator uses it in the engineering formula to compute the output
How should I interpret the result cascaded gain and noise figure budget?
The calculator outputs cascaded gain and noise figure budget in dB. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: First amplifier gain (dB), Second amplifier gain (dB), Third amplifier gain (dB), First amplifier noise figure (linear), Second amplifier noise figure (linear), Third amplifier noise figure (linear). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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