Re CIC gain, there's a also a decimation specific shifter involved in
the path.  Please take a look at



Yes. You guys have the R^4 formula right, but the shifter takes back most of the gain. The actual gain from the CIC decimator once you include the shifter is:

R^4 /  ( 2^ ceiling(log2(r^4)))

I hope that is readable. Basically, if R is a power of 2, then the gain is exactly 1. If R is not a power of 2 then the gain is in the range of (0.5,1).

Matt



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