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THE FEUTEX TOOLKIT

CIC Decimator Gain and Bit Growth

Calculate DC gain and worst-case accumulator growth of a CIC decimator.

Signal Processing workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
Formulagain=(RM)ᴺ; growth=ceil[Nlog₂(RM)]
Sources and model references

Worked example

Inputs

Decimation factor
8
Differential delay
1
Stage count
3
Input width
16 bits

Expected results

DC gain
512 ratio
Additional bits
9 bits
Unpruned accumulator width
25 bits

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs in the indicated units.
  2. Calculate and compare every output against the stated model assumptions.

Try this example

{
  "r": 8,
  "m": 1,
  "n": 3,
  "bits": 16
}

Accuracy and scope

Unpruned CIC integer arithmetic; no truncation-noise or passband-droop design. Simplified analytical model; not a design recommendation or safety certification.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.