Aperture Duty Three-Row Scan - Electronic Circuits X: Sampling, Quantization, and Finite Conversion Step by Step

Aperture duty changes only when the aperture-to-period ratio changes. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two of eight seconds is one quarter

Aperture 2 seconds plus idle 6 seconds closes period 8 seconds, so duty is 1/4.

2+6=8,\quad {a\over T}={1\over 4}

Two of ten seconds is one fifth

Aperture 2 seconds plus idle 8 seconds closes period 10 seconds, so duty is 1/5.

2+8=10,\quad {a\over T}={1\over 5}

Scaling both window and period keeps one quarter

Aperture 3 seconds plus idle 9 seconds closes period 12 seconds, so duty is 1/4.

3+9=12,\quad {a\over T}={1\over 4}