Timing Boundary Depth Scans

Coincidence Window Margin Three-Row Scan

Coincidence timing is a boundary comparison, including equality. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One-second separation is inside the window

Channel B time 4 seconds gives separation 1 second against a two-second window.

m=W−Δt=2−1=1,passm=W-\Delta t=2\mathbin{-}1=1,\quad\text{pass}
Coincidence windowTicks are accepted only inside the window.ABW=2 sdt=1 schannelATime=3 schannelBTime=4 swindow=2 sdifference=1 saccepted

Two-second separation is exactly on the boundary

Channel B time 5 seconds gives separation 2 seconds against a two-second window.

m=W−Δt=2−2=0,passm=W-\Delta t=2\mathbin{-}2=0,\quad\text{pass}
Coincidence windowTicks are accepted only inside the window.ABW=2 sdt=2 schannelATime=3 schannelBTime=5 swindow=2 sdifference=2 saccepted

Three-second separation misses the window

Channel B time 6 seconds gives separation 3 seconds against a two-second window.

m=W−Δt=2−3=−1,failm=W-\Delta t=2\mathbin{-}3=-1,\quad\text{fail}
Coincidence windowTicks are accepted only inside the window.ABW=2 sdt=3 schannelATime=3 schannelBTime=6 swindow=2 sdifference=3 srejected