FA-91454 / Digital signal filters / Member archive

Median filter takes the middle sample without sorting · case 04

The output is the centre sample of the window, i.e. no filtering at all.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

Input [K, samples]; K odd ("bad-kernel" otherwise). Output i is the median of samples[i-K//2 .. i+K//2] clipped to the valid range (shrinking windows at the edges); an even count uses the mean of the two middle values. Return exact fraction strings.

Why this case matters

Median filters remove impulse noise without blurring edges; window or tie handling slips shift features.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression: random median 18	`["9", "17/2", "8", "5/2", "-3"]`	`["8", "5/2", "-2", "3", "-2"]`	Failed

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