charleski
Major Contributor
I think the issue here is that the term 'timing resolution' is just not really very useful, and I think it's generating some confusion. Any timing error is going to produce a group delay, but what matters is that this is constant (i.e. the system is linear phase).That might be very true
I get that you can get steeper transients with a higher sample rate. But I find it a bit strange why that would be the only relevant measure? You cannot hear the higher components of the transient above 20 kHz anyway. So why would timing resolution only be relevant in transients?
Am I correct in assuming that the timing resolution of a digital system, measured in degrees of phase is constant over frequency?
Oh, I'm not worried at all, just want to understand where I'm wrong in my understanding.
Let ω be the angular frequency (2πf). If we introduce a delay τ into a sine wave sin(ωt + θ), then the result is sin(ωt + θ - ωτ) where ωτ is the phase shift which is a linear function of angular frequency. If we want to find out the time resolution of the system, we want to know the maximum phase shift (i.e. phase error) that it will allow, which happens at the maximum frequency that the system can reproduce. Any phase errors at lower frequencies will have a correspondingly lower phase shift and can be ignored.