To further crystalize the comments, it may be worth realizing that
there were two Star Trek series in production at the time in question:
"Star Trek: Voyager" and "Star Trek: Deep Space Nine."
IIRC, "Star Trek: Voyager" aired on the then-nascent UPN network and
had a regular time slot in all markets carrying UPN. "Star Trek: Deep
Space Nine" on the other hand, aired in syndication, on different
stations at different time slots.
That said, there are plenty of references to confirm that "Star Trek:
Voyager"'s "Remember" first aired on October 9, 1996, so while I can't
say for certain, my gut feeling is that that's the episode you're
You say that you used to watch Star Trek episodes regularly on
Wednesdays. Even if you can't remember this particular episode, can
you remember anything about the episodes in the series that you may
have watched previously? Any characters? Any settings (like...was it
on a space ship or on a space station)? If we can confirm which series
you were watching, it'd be pretty easy to figure out which episode's
the one you're looking for...