selig wrote:What then is the difference between "phase" and "group delay"? Maybe I've misunderstood what you're trying to say here… apologies if so.
I'm a bit sloppy and use both terms, but group delay is the derivative of phase with frequency - sometimes it's a nicer thing to talk about since it's more directly related to how much transients get "smeared" out.
Since the compliment of a low pass filter is a high pass filter, and since it's derived directly from the low pass filter, there is one and only one way for this to work. So I would have to say that whatever the result, it IS automatically the same thing for every example! Make sense? Just to be clear, the process I'm referring to is to take the low pass filter and combine it with the inverted "dry" signal, thus giving you a high pass response. The result is always the same, so yes it WILL automatically generate a nicely well behaved high-pass filter.
Yes and no. The complement of a low pass filter will be something that, roughly speaking, cuts low frequencies and passes high frequencies, so yes, it could be called a high pass filter. But it will not be the same type of filter as the low-pass. For example the complement of a low-pass Chebyshev filter is not a Chebyshev high pass filter (of any order). In fact, to express it in terms of other filters you'll generally need a complex mix of high-pass and band-pass. For certain simple filters things actually work out very nicely, but it's not at all a general thing.
Also, I would not call compression a "Time sensitive" processing, but it IS a level sensitive process. Compression should not take any "time" to accomplish unless you're talking about adding look ahead. Or have I totally misunderstood you here?
Compressors typically have an attack and release, and thus an internal state and "memory" of what the input was doing at earlier times. That's what I mean by "time-sensitive": what it does to an input sample depends on more than just the sample value - it depends on a bunch of previous samples too. It means that even if you use a crossover and use
identical compressors on each band before recombining, the result can sound a bit different than if you'd just used an identical compressor on the un-split signal. It's most noticable with sharp transients right at the cutoff frequency.