Pre-ringing = Gibbs Phenomena "The Gibbs phenomenon involves both the fact that Fourier sums overshoot at a jump discontinuity, and that this overshoot does not die out as the frequency increases."
http://en.wikipedia.org/wiki/Gibbs_phenomenon
So it is only at jump discontinuities i.e up at high frequencies of the order of 20KHz
Linear phase filters have an unavoidable side-effect = Pre & post echo at all frequencies. Post-echo is not such a problem as it is acoustically masked by the main signal impulse, pre-echo is a problem.
It is mistakenly called pre-ringing!!
http://www.cirrus.com/en/pubs/whitePaper/DS668WP1.pdf
Careful, this is a paper from Cirrus - is it marketing & should be "treated with a pinch of salt"
There are academic papers at the end if you are more inclined!
Where are linear filters used extensively? As digital interpolation filters on DAC outputs. So I'm reckoning that these designers either don't believe the pre-echo information as presented in JJ's PPT or they don't know about it.
My point is that the elements I highlighted from JJ's PPT are not well known & already well established knowledge or indeed agreed upon as being the only version of how this works. JJ is careful to state in other PPTs & this one that these are his models & not universally agreed. Indeed, he is a good example of the title of this thread as are most of those who have an expertise & knowledge of a deep nature!
I'm grateful for your input on the terminology but I do note that confusingly the cirrus paper you link to refers to "ringing or pre echo". I am very cautious about the consistency of terminology in the digital audio field after eventually discovering that there is no fixed or consistent meaning to the terms upsampling and oversampling .
I hope you will find the following helpful in turn. Consonantly with the title of the thread, this is basically what I know I don't know:
if the phenomenon you are referring to is the impulse response characteristic of linear phase filters then you are presumably aware that these filters are used because they are the only ones which maintain phase integrity. In fact the sampling theorem strictly requires nothing less than a sinc function filter which is onviously Lp. It is a logical if perhaps practically useless consequence of the sampling theorem that if you could have a perfectly bandlimited signal and could reconstruct it from its samples using a perfect sinc function filter, there could not be any pre-echo (pre ringing?)
This is really deep water because the bandlimiting filter and reconstruction filter interact. I have with some patient help from experts, managed to achieve fleeting glimpses of fragments of understanding. I know that Werner has actually calculated the convolution of Anti alias and reconstruction filter functions to model the interactions. I have nGever seen an audiophile magazine publish anything nearly that informative on these issues.
Iirc the seminal craven paper on the apodising minimum phase filter pointed out that you only need one in the whole chain. - if there is no embedded ringing (echo? I'm pretty sure craven called it ringing) in the anti alias (pre sampling ) filter then an LP reconstruction filter will be ok. Equally if the anti alias filter was minimum phase, then having an mp reconstruction filter could be a bad idea because of cumulative phase errors and post ringing which whilst supposedly better than pre- ringing, is not wholly benign
As I understand it early digital recording and transfers did indeed use analog anti aliasing filters which were minimum phase or something like it.
Assuming there is an audible problem with LP filters in the 18-22khz
Ish range , that does not necessarily mean that using any other filter is better. The phase errors created by an MP filter might be worse.
In any event I think you should be a little more cautious as I strongly suspect that the pre echo he was referring
to was the effect of steep filters right in the most audible band. These may arise eg in perceptual codecs or drc filters. The phenomenon can be more or less serious depending on the steepness and location of the transition band and the amount of attenuation.
It is AFAIK common ground that at the least an LP filter with a transition band between say 80- 96 kHz could not have audible pre echo (if that is the right word). Iirc Bruno putzeys suggested that 4khz transition band is fine eg 18-22 kHz which will not encroach of the frequency range of most grown up hearers.
There are sound reasons why Digital engineers still use LP filters at least sometimes although it is now fashionable to offer a choice. I don't think its because they are ignorant of the issues, although maybe some people are. I do however find the continued use of the half band lp filter surprising. But that's for another day.
I would be interested to know if anyone else has any views either on what pre echo ( as opposed to pre ringing ) means and what JJ may have been referring to.