Hi, I don’t have a technical background, so could someone please explain the progressive loss of resolution at DAC3 volume levels right below below unity gain and lower when the LA4 is not a part of the chain? I understand that the DAC3 uses a digital attenuator, which would attenuate the signal and not the noise floor, but using a 32 bit volume control should have plenty of headroom. Reading a Benchmark white paper from John Saiu, it states “The
DAC2 has a 32-bit digital volume control that feeds the array of 32-bit D/A converters. This 32-bit connection allows the use of digital volume control without causing a loss of resolution. At an attenuation of 48 dB, all bits from a 24-bit input still reach the D/A converter.” If i interpret this statement correctly, there should be no SNR loss until basically below -48db, where the digital volume would begin to have a compressing impact on resolution/SNR. In the example from
@John_Siau, the loss of resolution starts from -2db below unity gain and progressively increases until we get to about 9-10db difference compared to having LA4 in the chain. Thanks!
The DAC3 B has a 125 dB A-weighted SNR at an output level of 24 dBu (at 0 dBFS). This means that the output noise is 125 dB lower than 24 dBu which is -101 dBu. If you turn the input to the DAC3 down in the digital domain, the output level is reduced, but the noise level remains unchanged (-101 dBu). If you turn the digital volume down by 12 dB, the output level will be reduced from 24 dBu to 12 dBu which is 113 dB higher than the -101 dBu noise level. The system SNR at a digital volume setting of -12 dB is 113 dB.
If you insert an LA4, the DAC3 B will feed the LA4 at 24 dBu with a 125 dB SNR. If you turn the LA4 down by 12 dB, the output level will be 12 dBu, just as with the digital volume control. The difference is that the noise will also be attenuated by 12 dB. The noise at the output of the LA4 will be -101 dBu - 12 dBu which is -113 dBu. So, if you do the math, 12 dBu signal - (-113 dBu noise) = 125 dBu SNR. The full 125 dB SNR of the DAC3 is still delivered to the amplifier. So, at an attenuation of 12 dB, the LA4 improves the system SNR by 12 dB which is the equivalent of 2-bits of digital performance (from a noise standpoint). This entire 12 dB improvement is delivered to the speaker terminals if the AHB2 is running in mono mode. The improvement will be 9 dB in stereo mode. Lets look at how this works:
The LA4 has a 137 dB A-weighted SNR, and it maintains this SNR over a wide range of gain settings due to the use of relay-switched resistor attenuators. In a DAC3 > LA4 > AHB2 system, the LA4 is never the limiting factor when it comes to system noise. The LA4 provides an increase in system SNR because it allows the DAC to operate at full output, no matter where the system volume control is set. This improved performance is only delivered to the speaker terminals if the power amplifier (or headphone amplifier) is quiet enough so that the amplifier is not the limiting factor. The AHB2 is probably the only power amplifier quiet enough to make this claim.
The Benchmark AHB2 power amplifier has an A-weighted SNR of 132 dB in stereo mode and 135 dB in mono mode. This means that the limiting factor (in an all-Benchmark system) will be the DAC3 B until the LA4 gain is turned down below -7 dB. The system SNR will be an astonishing 125 dB at the speaker terminals, at gain settings above -7 dB. The clip point of the AHB2 will be reached when the LA4 is set to -2 dB. The AHB2 reaches full output with a +22 dBu input signal.
The A-weighted output noise of the AHB2 in stereo mode is 112 dB below 1 W into 8 Ohms (2.83 Vrms). With the DAC3 and LA4 connected, this noise level is increased by 7 dB (as seen in the prior paragraph) when the LA4 volume is set at -2 dB (the volume setting required to reach full amplifier output). Doing the math, the output noise of the system is 112-7=105 dB below 1 W at full volume. This means that if you speakers have an efficiency less than 105 dB, 1W, 1m, then the acoustic output noise produced by the speakers, will be inaudible at a distance of 1 meter from either speaker when the system is set to full volume (-2 dB on the LA4). If you turn the LA4 down below -7 dB, the output noise of the DAC3 will be lower than the noise produced by the amplifier (which is 112 dB below 1W). This means that the system output noise (at settings below -7 dB) will be inaudible even with very high efficiency horns. In most cases, you will be able to walk up to the speaker an hear absolutely no noise at point blank range (ear to the driver).
If the LA4 is removed from the system, the output noise produced by the amplifier will be entirely due to the noise floor of the DAC3. The SNR of the DAC3 at the amplifier clip point (+22 dBu) is 125 dB - 2 dB = 123 dB. This means the SNR at the output of the amplifier will also be limited to 123 dB, which is 9 dB higher than the noise produced by the amplifier itself. In this system, the noise at the output of the amplifier will be elevated 9 dB above the noise of the amplifier. Instead of 112 dB below 1 W, the noise will be 103 dB below 1 W. If your speakers have an efficiency lower than 103 dB, 1W, 1m, the noise will still be inaudible at your listening position, however, you may be able to hear some faint white noise if you put your ear up the the drivers on one of your speakers.
So, the LA4 provides a measurable improvement in the system noise performance when it is inserted between a DAC3 and an AHB2. This improvement is 2dB to 9 dB in stereo mode and 2 dB to 12 dB in mono mode. At typical listening levels, the improvement is at the upper end of these ranges (9 dB for stereo and 12 dB for mono).
Will you hear a difference? If you have very high efficiency speakers, the answer is yes. You will experience total silence at full volume when the music is not playing. You music will fade into total silence without the distraction of an electronic hiss or hum. The audible difference while the music is playing will be a function of the quality of the recording.
If you are using a lower quality DAC (SNR less than 125 dB) the improvement provided by the LA4 can be even greater.
The system-level SNR improvement is due to the optimization of the "gain staging" between the DAC and the amplifier. The LA4 provides this optimization over a very wide range of volume settings.