Update on the CIC Multistage Decimation Filter With a Minimum Number of Additions per Output Sample (APOS): Can We Still Decrease the Number of APOS? [Tips & Tricks]

This article explores some tips and tricks on how to decrease the number of additions per output sample (APOS) in a cascaded-integrator-comb (CIC) multistage decimation filter, ensuring the smallest number of APOS for a given decimation factor; the desired minimum worst-case attenuation (WCA) in dB; and the desired passband edge frequency
${\omega}_{p}$
. We assume that the decimation factor
M
is a product of prime factors. In the last stage, we propose modifying the optimal multistage structure with the minimum number of APOS presented in the literature.