Timing Boundary Depth Scans

Live Fraction Effective Rate Three-Row Scan

Live fraction and source rate combine into an effective rate. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Long live time on a slow source gives one third hertz

Live time 8 seconds over clock 12 seconds gives live fraction 2/3.

Reff=1/2×2/3=1/3R_{\text{eff}}=1/2\times2/3=1/3
Live fraction scanEach effective rate is sourced from the dead-time row.live=8 seffective=1/3 HzclockTime=12 sliveTime=8 sliveFraction=2/3 ratioinputRate=1/2 HzeffectiveRate=1/3 Hz

Half-live clock gives one half hertz

Live time 6 seconds over clock 12 seconds gives live fraction 1/2.

Reff=1×1/2=1/2R_{\text{eff}}=1\times1/2=1/2
Live fraction scanEach effective rate is sourced from the dead-time row.live=6 seffective=1/2 HzclockTime=12 sliveTime=6 sliveFraction=1/2 ratioinputRate=1 HzeffectiveRate=1/2 Hz

Short live time on a fast source gives two thirds hertz

Live time 4 seconds over clock 12 seconds gives live fraction 1/3.

Reff=2×1/3=2/3R_{\text{eff}}=2\times1/3=2/3
Live fraction scanEach effective rate is sourced from the dead-time row.live=4 seffective=2/3 HzclockTime=12 sliveTime=4 sliveFraction=1/3 ratioinputRate=2 HzeffectiveRate=2/3 Hz