Pre-ringing
Jim, Arny
Thanks very much for both your helpful advice and contributions.
I think I am slowly getting somewhere, although every time I think I
have grasped the essence of the matter, I find that most of what I
think I have grasped slips through my fingers. It strikes me that the
issues involved here are rather deep because we are not entirely sure
what we are measuring, and are therefore not clear how accurately we
are measuring it.
I take John's point on board entirely that this is not a problem with
digital systems as such- it seems to be a problem of what happen when
you band limit a signal. That problem arises with any information
channel but in the ca of digital audio it is specfied by theory and
implemented intentionally (even if reluctantly) . I can appreciate
that this band limitation at the ADC input (or more realistically
prior to downsampling) may possibly be irrelevant because of the real
bottleneck is in the microphone, the speakers or the ear.
That seems to get us into the territory of what bandwidth is good
enough for the ear. Here I can see as number of different questions
which may of may not be distinct
a) what is the highest frequency humans can hear
b) what is the lowest low pass transition frequency at which if a
sensible filter is put in human beings will not notice any difference
between the filtered output and the pre-filtered signal
c) at what sort of filter frequency will I hear something called pre-
ringing before some sort of transient sound- ie where that sound will
after filtering sound noticeably different from the pre-filtered
sound, or possibly subject to distinct audible pre-echos eg before the
finger click I would hear a distinct albeit somewhat quiet finger
click as a distinct event (this effect being indistinguishable from
someone clicking his fingers quietly and then louder?). This begs i
suppose the question of how far apart sounjds need to be to be heard
as distinct.
d) at what Low pass filter transition frequency might 2 sounds which
would pre-filtering sound different become just one sound. .
So now, that takes me to the question of what real world sound should
best be used to test these limits.
I noticed some material discussing the frequencies generated by
musical instruments. This seemed to suggest that some instruments
generate energy up to 50kHz but mainly at quite low levels the
exception seems to be the cymbals which seem to have a lot of energy
at 100kHz plus. It therefore seems that a cymbal stroke would be the
thing to look at as the most extreme case of a real instrument with
high frequency content .
It occurs to me that perhaps this is not the instrument with fastest
attack however. any idea what that would be and where one could see
what leading edge sound would be in the time domain.
Presumably what we need is to identify a real world transient so that
we can
a) analyse what the effect of applying a filter (especially the
ubiquitous half band linear phase 20-24kHz transition -100db at
stopband, -6db at nyquist) on that transient.
b) listen to hear if we can tell any difference between versions
fimtered at (eg) 16, 18, 20, 40 or 80 kHz,
[I am assuming that this could be captured by a microphone in the
first place. I think we may also have to assume that a sinc like AA
filter would be used.
|