Audio
Gain Staging
Also known as: gain structure, gain staging in home theater, amplifier input sensitivity, preamp output level matching, headroom and noise floor
Gain staging is setting the signal level at every stage of an audio chain, from source to preamp to power amplifier, so each stage runs well above its noise floor and below clipping. In a home theater it means matching the receiver's preamp output to an external amplifier's input sensitivity, the voltage that produces full rated power. A 100 W amplifier into 8 ohms needs 28.3 V RMS, so a 1.0 V sensitivity means 29 dB of voltage gain.
What gain staging is
Gain staging, also called gain structure, is the practice of setting the signal level at each stage of an audio system so that no stage runs so quiet that its own noise shows up, or so hot that it clips. Yamaha's pro audio guide compares the input gain control to the main water valve in a house: open it enough for good flow, which means a good signal-to-noise ratio, but not so far that pressure builds up, which means distortion. Radial Engineering adds a useful distinction: gain optimizes the strength of a signal, while volume regulates how it is heard. In a home theater the chain is a source, the AV receiver's input and digital processing, the volume attenuator, the preamp output, an optional external power amplifier, and the speakers.
Standard signal levels
Consumer line-level equipment is specified at a nominal -10 dBV, which is 0.316 V RMS or 0.447 V peak. Professional gear uses +4 dBu, which is 1.228 V RMS or 1.736 V peak. The references differ: 0 dBV is 1 V RMS, and 0 dBu is 0.7746 V RMS. Real program material has a much higher crest factor than a sine wave. Wikipedia notes that a speech signal at +4 dBu nominal with a 20 dB crest factor peaks at about 17 V, equal to a +24 dBu sine wave, and that analog nominal levels are mapped to -18 or -20 dBFS in digital systems to leave room for those peaks. The gap between nominal and clipping is headroom, and Pat Brown puts professional gear at roughly 20 dB of it, with maximum levels between +20 and +28 dBu depending on the manufacturer.
Amplifier gain and input sensitivity
An amplifier's input sensitivity is the input voltage that produces its full rated output. The gain is the decibel difference between the output voltage and that input. Take a 100 W amplifier rated into 8 ohms, which delivers 28.3 V RMS (the square root of 100 W times 8 ohms) and 3.5 A. If its sensitivity is 1.0 V, the gain is 20 times the log of 28.3, or 29.0 dB. At 1.2 V the gain is 27.5 dB, and at 1.4 V it is 26.1 dB. Pat Brown works through a 70 V RMS example, which is 37 dBV, where gain switch positions of 26 dB and 32 dB correspond to 3.5 V and 1.8 V sensitivities, and a "1.2" position gives 35 dB. The key point is that the switch does not change the amplifier's maximum output voltage; it changes how much input voltage reaches it. Brown adds that swapping a 100 W amplifier for a 200 W one at a fixed setting gets 3 dB more output.
Many amplifiers have an attenuator control on the front or back, which Brown says to treat as a turn-down control. Rated sensitivity is usually quoted with it at maximum. If a receiver's preamp output peaks at 2 V and the amplifier reaches full power at 1.0 V, the amplifier hits full power when the receiver is 6 dB below its own maximum, so the top 6 dB of the receiver's range sits past the amplifier's clipping point. Whether that matters depends on the volume you use: the receiver's volume control is an attenuator, and Yamaha explains that negative numbers on an AVR display show how many decibels the control is cutting from the maximum. A reading of -25 dB means the signal is 25 dB quieter than the amplifier could play.
Gain staging vs volume and reference level
Volume is not gain. Reference level is a calibrated acoustic target, set through gain: Dolby's installation guidelines say each full-range speaker should be calibrated to the same C-weighted SPL, between 79 and 82 dB at the main listening position when driven with -20 dBFS pink noise, and each speaker should be able to produce peaks 20 dB above that. The LFE path adds 10 dB of gain to match the -10 dB recording level for LFE. AV Gadgets states the cinema version: 85 dB continuous and 105 dB peaks per speaker, and 95 and 115 dB for subwoofers. A well-staged system lets the amplifier reach those peaks without clipping at any earlier stage. The procedure is covered under reference level and speaker level calibration.
Where gain gets set in a receiver
Room correction and trim settings are gain controls too. On the Pioneer VSX-LX805, Fine Channel Level offers -12.0 dB to +12.0 dB in 0.5 dB steps (-15.0 dB to +12.0 dB for the subwoofer), and the EQ Adjust page offers up to 9 bands per speaker and 4 bands for the subwoofer, each adjustable by plus or minus 12.0 dB. If the display shows "OVER!" the receiver is telling you that a band or the sum is too high and the volume of bands must be reduced. That is gain staging inside the DSP, where boosting one band can use up the headroom available to the rest. Room correction such as Audyssey MultEQ and Dirac Live Bass Control sets its own trims during calibration. See pre-out for how the receiver feeds an external amplifier.
Common mistakes and symptoms
Too much gain at an early stage produces clipping and distortion that later stages cannot undo; too little forces later stages to amplify the signal along with their own noise. On an external amplifier that means a sensitivity or gain setting so high that normal listening volumes already approach clipping, or one so low that the receiver must run near its maximum. Connection type matters as well; see balanced XLR vs unbalanced RCA. Gain staging cannot fix a mismatch between speakers and amplifier; it only keeps noise and clipping out of the chain.
Sources
- [1]Dolby Atmos Home Theater Installation Guidelines (April 2015)Dolby Laboratories (PDF hosted by Arcam), 2015Primary spec
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