A fixed sample window can be closed by different exact period-count pairs. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Three wide cells cover twelve seconds
3 sample cells at period 4 s cover 12 s.
3 ⋅ 4 s = 12 s 3\cdot4\ \text{s}=12\ \text{s} 3 ⋅ 4 s = 12 s Fixed window sample scan The checked total stays twelve seconds. total t=0 s t=4 s t=8 s
Four medium cells cover the same window
4 sample cells at period 3 s cover 12 s.
4 ⋅ 3 s = 12 s 4\cdot3\ \text{s}=12\ \text{s} 4 ⋅ 3 s = 12 s Fixed window sample scan The checked total stays twelve seconds. total t=0 s t=3 s t=6 s t=9 s
Six shorter cells still close at twelve seconds
6 sample cells at period 2 s cover 12 s.
6 ⋅ 2 s = 12 s 6\cdot2\ \text{s}=12\ \text{s} 6 ⋅ 2 s = 12 s Fixed window sample scan The checked total stays twelve seconds. total t=0 s t=2 s t=4 s t=6 s t=8 s t=10 s