How to compute total delay in samples?

[pfeatherstone]

Supposing we are chaining many filters, resamplers, equalizers, etc together, all of which have some delay.
How do you compute the total delay?
Supposing we have:

auto h1 = msresamp_crcf_create(...);
auto h2 = msresamp_crcf_create(...);
...
auto hN = msresamp_crcf_create(...);

How do you compute the delay of output samples when passing inputs into h1 -> h2 -> ... -> hN ?

[zacharyr]

If you have the original signal, you can compute the delay by using a correlation method against the delayed signal. alignsignals in MATLAB does this: https://www.mathworks.com/help/signal/ref/alignsignals.html. I have used this method successfully in the past for BER calculations and such.

[jgaeddert]

Let's assume that h1 has a resampling rate r1 and a delay d1. The output time index t1 with respect to the original time index t is:

t1 = (t + d1)*r1

So if you cascade resamplers back to back, the end delay would be

tN = ((((t + d1)*r1 + d2)*r2 + d3)*r3 ... + dN)*rN