FA-91414 / Digital signal filters / Member archive

Centered average mirrors with the edge sample repeated · case 04

At the edges the first sample is counted twice, over-weighting endpoints.

Member previewVariant 4 · 3 implementations · 7 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: random centered 44	`["1/3", "-2/3", "1/3", "7/3", "10/3", "7/3"]`	`["-7/3", "-2/3", "1/3", "7/3", "10/3", "5/3"]`	Failed

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