Federer announced this week he was shaking up his coaching team for 2016, with "childhood idol" Edberg leaving after two years of working as assistant coach to the 17-time Grand Slam winner.
"We had a great split in the sense that we've known for 10 months that it was going to end at the end of the year."
Federer said Edberg's replacement, Croatian Ivan Ljubicic, a former world number three, would offer a new perspective as part of the current generation of players.
"My coaches in the past have all been players from a different generation. I think Ivan can bring something very exciting to my team, including motivation."
Sweden's Edberg, a former world number one, won his six Grand Slam titles in the 1980s and early 1990s.
The change constitutes another throw of the dice for Federer, 34, as he bids to prolong his stay at the top of men's tennis and add to his all-time record haul of Grand Slam titles.
The Swiss champion has said Severin Luthi will continue to be his main coach, continuing a partnership that began in 2008.
"Edberg obviously was amazing, nicest guy, gave me great advice and I will appreciate that forever."
Federer said he was excited about teaming up with fellow Grand Slam star Martina Hingis for Switzerland in the mixed doubles at the 2016 Olympics in Rio.
"We are a little bit rusty after 15 years of not playing together but hopefully we have some time."
He said it was likely he would also partner with countryman and world number four Stan Wawrinka in the men's doubles, saying they would discuss it early next year.
Date: 13th December 2015, Source: AFP