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I suspect it's an alternative name for a one-shot trigger, that freezes the display once the trigger event is detected.
"Delta" is commonly used to mean rate-of-change, so it may be slope detection rather than just level detection triggering.
A “save-on-delta” type of test compares
the actual waveform against a high and
low limit. The limits are set as toler-
ances compared to a reference wave-
form. If the acquired data passes out-
side the limits, the digitizer can take an
action (beep, GPIB SRQ, etc.).