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# SNR to Output Noise Calculator

by John Siau November 16, 2022 2 min read Given an output signal level and an SNR specification, we can calculate the output noise level.

### Example 1:

The XLR outputs on the Benchmark DAC3 D/A converters have an SNR of 127 dB at an output level +24 dBu. This +24 dBu output level is a standard calibration used for balanced connections in many recording studios.

These values are already entered below. Click the calculate button  and you will see that the output noise voltage produced by the DAC3 is 5.48 uV.

SNR to Output Noise Calculator
Output Signal Level: dBu
Signal to Noise Ratio (SNR): dB
RESULTS
Output Noise Level: dBu
Output Noise Voltage: uV

### Example 2:

The XLR outputs on the Benchmark DAC3 converters are equipped with passive 10 dB and 20 dB output attenuators that attenuate both the output signal and the output noise. As a result, the DAC3 achieves the same 127 dB SNR at all attenuator settings. The 10 dB pad is required when the DAC3 is driving most hi-fi products. With 10 dB pad engaged, the output level is 14 dBu which is about 4 Vrms.

Enter the following in the calculator above:

• Output Signal Level = 14 dBu
• Signal to Noise Ratio (SNR) = 127 dB

Click the calculate button and you will see that the output noise voltage produced by the DAC3 is 1.73 uV with the pad engaged. The passive attenuator reduces the signal level by 10 dB. It also reduces the noise level by 10 dB.

Notice that, for a given SNR, the noise voltage can be more than 3 times as high in a professional balanced system as compared to a 4 Vrms hi-fi balanced system. Stated differently, the professional balanced system provides a 10 dB improvement in SNR for a given noise signal.

### Example 3:

If we wish to achieve a 127 dB SNR using unbalanced RCA cables we are going to have problems! In hi-fi systems, RCA inputs and outputs are calibrated for a maximum signal level of just 2 Vrms.

The following levels are entered in the calculator below:

• Output Signal Level = 2 Vrms
• Signal to Noise Ratio (SNR) = 127 dB

Click the calculate button and you will see that the output noise voltage would need to be 0.89 uV to achieve a 127 dB SNR. This is difficult to achieve over an unbalanced interface. Most unbalanced output drivers and input receivers produce more than 1 uV of noise, and this makes unbalanced interfaces unsuitable for low-noise audio systems.

SNR to Output Noise Calculator
Output Signal Voltage: Vrms
Signal to Noise Ratio (SNR): dB
RESULTS
Output Signal Level: dBu
Output Noise Level: dBu
Output Noise Voltage: uV

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Click "Read More" for a tutorial. ##### Volts RMS to dBu Converter

by John Siau November 23, 2022 1 min read

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Volts RMS ##### Gain Calculator

by John Siau November 23, 2022 1 min read

Gain Calculator
Input Voltage: Volts
Output Voltage: Volts
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Gain: dB
Output Voltage Calculator
Input Voltage: Volts
Gain: dB
RESULTS
Output Voltage: Volts