AudioCalcs
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
Gain staging is the process of setting optimal levels at each point in the signal chain. The goal is to keep the signal well above the noise floor of each device while staying below its clipping point, maximising the signal-to-noise ratio throughout.
In a chain of gain stages (the classic Friis case, where every stage amplifies), the first device contributes the most to overall noise because all subsequent gain amplifies its noise. More generally, it is the earliest stage of gain — usually the preamp — that dominates, since its noise sees the most downstream amplification; a lossy stage before it, such as a passive microphone, contributes far less. A noisy preamp cannot be compensated by a quiet A/D converter — the noise is already in the signal.
For professional recording, an SNR of 90 dB or better is expected. Hi-fi audio typically achieves 100+ dB. Broadcast audio requires at least 60 dB. An SNR below 50 dB will have audible noise in quiet passages.
Related Calculators
Voltage Calculator
Calculate audio signal voltage from dBu or dBV decibel values and convert back to dB. Essential reference for gain staging and setup.
Audio Power Calculator
Calculate audio power from voltage and impedance, or find voltage from power and impedance. Essential for amplifier and speaker work.
Ohm's Law Calculator
Calculate voltage, current, resistance and power for audio circuits using Ohm's law. Free online audio electronics reference tool.
dB Conversion Calculator
Convert between dBu, dBV, dBFS, dBm and voltage or power values instantly. An essential daily reference calculator for audio engineers.
Frequency to Note Calculator
Find the closest musical note to any frequency with cents deviation from equal temperament. Free online audio reference calculator.
Was this calculator helpful?
Last updated: February 2026
All calculations are estimates based on standard formulas. Always verify results for critical applications.