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Signal Chain Calculator — Cumulative Gain & Noise Analysis

Calculate cumulative gain and noise through a series of audio components.

How We Calculate This

The signal chain calculator sums the gain (in dB) through each stage to find the total gain and output level.

Noise is calculated with the Friis cascade. Each stage's input-referred noise floor is referred to the chain output by the gain of that stage and every stage after it, then all contributions are summed in linear power. This is why the earliest stage of gain — typically the preamp — dominates the result: its noise sees the most downstream amplification. (A lossy first stage such as a passive microphone sees the least, so it contributes very little.)

Total gain = sum of all stage gains (dB)

Output noise floor = 10·log₁₀( Σ 10^((nfᵢ + Gᵢ‧onward)/10) ) dBu

SNR = output signal level − output noise floor

Dynamic range = clip ceiling − output noise floor (clip ceiling = reference level + headroom target)

Frequently Asked Questions

Last updated: February 2026

All calculations are estimates based on standard formulas. Always verify results for critical applications.