A phase-sensitive signal is visible only through the coherent count budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A phase-sensitive signal needs coherent shots

When all 60 shots remain coherent, the coherent fraction is 1.

fcoherent=1f_{\text{coherent}}=1
Coherent phase budgetThe coherent bar fills the budget.1coherent0dephasedvisible fringe

The full ideal signal remains visible

The ideal visible count is 40, and a coherent fraction of 1 leaves 40 visible counts.

Nvisible=401=40N_{\text{visible}}=40\cdot1=40
Visible phase signalThe visible count is checked.1coherent0dephasedvisible fringe