Cascaded squared ratios multiply stage by stage. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The first cutoff stage halves the squared budget

Input budget 20 becomes 10 after one cutoff stage.

2012=1020\cdot {1\over 2}=10
First cutoff stageThe first stage output is checked.ffcratioinoutffcratioinoutlowpasslowpass

The second stage multiplies again

The second half response makes final budget 5, not ten plus another correction.

1212=14{1\over 2}\cdot {1\over 2}={1\over 4}
Two cutoff stagesThe cascade product is checked.ffcratioinoutffcratioinoutlowpasslowpass