Faster Sampling Covers Less Time for the Same Count - Electronic Circuits IX & X: Feedback Control and Sampled Conversion Step by Step

Changing only the clock period changes the covered time.

Changing only the clock period changes the covered time. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The two-second clock covers ten seconds

With the same 5 samples, period 2 seconds covers 10 seconds.

5\cdot 2\ \text{s}=10\ \text{s}

The one-second clock covers half as much time

Changing only the period to 1 second makes the same count cover 5 seconds.

5\cdot 1\ \text{s}=5\ \text{s}