FA-91425 / Digital signal filters / Member archive

Centered average accepts an even window · case 05

K = 2 silently produces a three-sample window instead of "bad-window".

Member previewVariant 5 · 3 implementations · 6 checks per implementation

Case contract

Input [K, mode, samples]; K must be odd ("bad-window"). Centered moving average over indices i-K//2..i+K//2 with edge mode "shrink" (average available samples), "zero" (missing samples count as 0, divide by K), "replicate" (clamp index) or "reflect" (mirror without repeating the edge: -1 -> 1, n -> n-2). Return exact fraction strings.

Why this case matters

Offline smoothing needs explicit edge handling; mirror and padding conventions differ between tools and are easy to mix up.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: even window	`["3/2", "2", "5/2"]`	`"bad-window"`	Failed

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