Fixed-Window Sample Count Three-Row Scan - Electronic Circuits IX & X: Feedback Control and Sampled Conversion Step by Step

A fixed sample window can be closed by different exact period-count pairs.

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\cdot4\ \text{s}=12\ \text{s}

Four medium cells cover the same window

4 sample cells at period 3 s cover 12 s.

4\cdot3\ \text{s}=12\ \text{s}

Six shorter cells still close at twelve seconds

6 sample cells at period 2 s cover 12 s.

6\cdot2\ \text{s}=12\ \text{s}