Faster Sampling Covers Less Time for the Same Count - Electronic Circuits X: Sampling, Quantization, and Finite Conversion Step by Step

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}