Edwards told BBC Radio Devon: "We're delighted to be playing at home because we haven't played there for a long time and we're a decent home side.
"We've done well at home for the last couple of years so hopefully we can get a good result."
Since beating the Magpies 3-1 in the league last month, Exeter have won at Huddersfield, drawn with Oldham and lost away at their closest rivals Plymouth.
Edwards said: "League One throws up some huge clubs and Sheffield Wednesday are no different.
"We've played big clubs in League One again so we'll obviously be against some accomplished players," he added.
Sheffield Wednesday are currently second in League One, just three points behind leaders Brighton.
Source: BBC Sport
Source: BBC Sport