New answers tagged group-delay
2
The quantity you might be looking for is signal-front delay, which is the delay of the beginning of a signal passing through a linear system. It is simply the largest value $\tau_{sf}$ (in samples) for which
$$h[n]=0,\qquad n<\tau_{sf}\tag{1}$$
is satisfied, where $h[n]$ is the system's impulse response.
If an input, or change in the input, starts at $n_0$...
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