just one example; if you know the THD+N performance of some broadcast or telecoms audio equipment, a time-effective and routine THD+N evaluation will quickly tell you with a relatively high degree of confidence that the equipment is still functioning as the manufacturer intended.
....and have certainly not learnt anything new here in this debate with you.
How about a real world example that violates your first quote above?
I can see I'm going to have to be careful how I answer this but I can give you a real world 'system' issue that shows the benefit of two tone testing over single tone for an audio amplifier in a telecoms system. Please realise that this is 'just' one example where IMD testing is more revealing of a fault in the AF amplifier compared to a single tone test. I can give others if you dismiss this one.
Let's look at a system issue involving a SSB broadcast transmitter.
It gets returned with a fault report that says "extremely high distortion in AF stages. Audio unreadable". So technician #1 fires up the transmitter and does a single tone system test and looks at THD in the transmit AF stage with the transmitter running as well. The AF amplifier in the transmit stage passes with flying colours and gives the expected low level of THD distortion and the RF signal from the SSB transmitter is also fine.
So it gets put back into service as fully working. It immediately gets returned as faulty again with the same report and gets sent to engineering to have a deeper look.
A two tone IMD test is carried out and the problem with the broadcast is now easily apparent. Due to a fault in the audio amplifier (broken RF decoupling capacitors) the transmitted RF envelope of the SSB signal is able to get into the AF stage and be rectified (detected) in the faulty amplifier. This injects the crudely rectified audio into the AF stage. This sets up a potential feedback path and the system can go unstable and sound awful.
The system fault can't be replicated with a single tone test because the RF envelope from the transmitter is constant and so no audio is rectified to corrupt the AF stage.
I hope you will accept that this can happen and does happen in SSB transmitters. Sometimes it's down to a fault or even poor design inside the radio and sometimes it can be caused by poor aerial grounding allowing high common mode currents to travel back to the radio and upset its operation.
A single tone THD test is a waste of time here because it can't replicate the fault condition that causes distortion in the Tx AF stage.
Now you are changing the topic almost completely. Your original claim (specifically on THD Vs IMD testing) was that traditional THD analysis (using traditional analogue analyzers) in audio (as in 20 Hz - 20 kHz "HiFi") design is inferior to IMD analysis for reasons thus far unsubstantiated.
I specifically outlined the specific conditions that make your claim
generally untrue, and in a previous post I even gave a specific example (bandwidth limited systems) where IMD testing actually has the upper hand over THD testing (measuring the linearity of Class D amplifiers at the higher audio frequencies).
In Class D amplifier operation the relationship between low THD and low IMD still holds true right out to 20 kHz theoretically, however the problem of measurement is a practical one as there is no viable way to measure the amplifiers THD performance prior to the output filter.
As for your SSB example, it doesn't violate my text that you quoted as, firstly, I specifically wrote: "a time-effective and routine THD+N evaluation will quickly tell you with a relatively high degree of confidence that the equipment is still functioning as the manufacturer intended" - to repeat - "high degree of confidence", not "exclusively, 100% for sure". Secondly I was talking about audio equipment - not transmitters. IMD is used almost exclusively for testing the linearity of transmitters, as, in a partly similar way to Class D in audio design, they fall into the category of bandwidth limited systems (which I mentioned previously), but that's a whole different topic again.
I think that is about all that I am willing to contribute to this thread. I'm not interest in further "debate" where basic points go ignored and unacknowledged and the topic of discussion simply get changed to something completely different instead.