Cars-N-Cans
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Now as far as the measurements done at ASR, I would say they are reasonably comprehensive and should tell you if there will be any audible issues. As you say there will be variations, but designers know how to handle these, and the bandwidth of audio is low enough that feedback within the design of the amplifier can cope with changes in impedance of the speakers or headphones. A good example of this was me deciding to foolishly send a 100 Hz square wave thru my amplifier with speakers attached to see what happened while measuring with an oscilloscope. At the output of the amplifier, it was nice and square, with very short rise and fall times and sounded just as it should: extremely annoying. For all intents and purposes, it was electrically perfect. At the speaker terminals it was a much different story. There was substantial distortion of the waveform. Was it because the speaker wire is not transparent? An audiophile like Danny Richie would certainly say so. However reality was much different. The speaker and its cross-over were becoming reactive at some frequencies, and the distortion in the square wave was due to the large reactive currents circulating. This combined with the resistance of the actual speaker wire is what caused the visual distortion in the waveform. Obviously this is not a good situation, but it did show that the amplifier was doing what it should, namely ensure that the output is a larger faithful replica of the input irrespective of what the speakers were doing. The only potential exception will be at very high frequencies where the gain margin starts decreasing, however most of the amplifiers where this is a concern, such as linear amplifiers, are also powered by unregulated linear supplies. The 100/120 Hz ripple (edit: And rectified audio as well) has to be rejected by the amplifier's feedback, and if its low enough to cause issues with speakers, then it will cause rising distortion with frequency and show up in Amir's measurements. This will be captured in the power vs. distortion sweeps done at varying frequencies. The recently reviewed Hypex DIY amp shows variations in distortion with frequency. I don't know the sources of the actual distortions, but it does provide a good example of what variations can look like:... and load impedance, and input impedance, and temperature, and supply voltage, and output voltage and output current...
Here we can say the amplifier does show some load dependence with frequency. Almost all amplifiers will show some dependence, but its still well below what we can hear, and further the distortion products at high frequencies are multiples of the fundamental, so often they fall outside of our hearing. This is why they are truncated on speaker distortion plots. No point in worrying about 3rd harmonic distortion at 10 kHz when the actual distortion will be 10 kHz x 3 or 30 kHz. We can no longer hear it. As far as IMD goes, Amir also provides those in the multitone tests, and the "grass" as he refers to it, should not be higher than about -50 dB if we want it to be inaudible.
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