Normal
Re: FIR filtersNo, this is not correct or optimal. There is still a lot of research going on in this field and the problem is not fully understood as far as I know for a general unknown system. If you decompose the IR into pieces which form a continuous instantaneous frequency, ie you assume it can be represented by an analytic signal, then the delay at the peak of the IR will be the average delay of the of the range of IF which has maximal energy. Obviously, you can form a system where this IS what we colloquially call the delay, but it is not true in general.
Re: FIR filters
No, this is not correct or optimal. There is still a lot of research going on in this field and the problem is not fully understood as far as I know for a general unknown system. If you decompose the IR into pieces which form a continuous instantaneous frequency, ie you assume it can be represented by an analytic signal, then the delay at the peak of the IR will be the average delay of the of the range of IF which has maximal energy. Obviously, you can form a system where this IS what we colloquially call the delay, but it is not true in general.
