"I hope he would be proud", Federer said.
"It's a really nice story", Federer said.
Federer credits much of his playing style to his late coach.
Federer has previously paid tribute to Carter in 2017 when he had won the Australian Open title after defeating Rafael Nadal. I think what I would like to say is that I've been incredibly fortunate to have the right people at the right time, the right coaches.
Federer expressed his love for the Australian tennis calendar, as there is much that connects him to the country. "So, I guess it was somewhat of a wake-up call from me when he passed away and I really started to train hard", he said.
Star players Roger Federer and Angelique Kerber have cautiously welcomed new tie-break rules for the deciding set at the Australian Open.
But Federer, aiming for his third successive Australian Open title and seventh overall, said he was personally "a bit torn" between the options.
While Federer was still only learning the game, he said Carter was one of the star players on the team and always put time aside to coach him personally.
Federer added: "So Peter was a really important person in my life and if I can say thank you today for my technique, it's to Peter".
Speaking to CNN, Federer broke down in tears remembering the Australian coach who had such an impact on his life and career.
Carter died in a vehicle accident on his honeymoon in South Africa in 2002 - a year before Federer's first grand slam victory at Wimbledon.
Carter was a close friend of world No. 1 Simona Halep's former coach Darren Cahill, who was coaching Lleyton Hewitt at the same time.
"I do get emotional watching movies sometimes but I did not know I had this happy cry as we call it in our family, not just when you are winning, but the kiddies", the Basel native said.
"Darren would say the same from Adelaide and then we played each other when we were 14, 16, 18, 20 and then the whole career".
"Am I confident? I don't know. The legends that I admire, the coaches that I've had in Tony Roche and Peter Carter - they've been incredibly inspirational and important to me in my life".
Already eliminated in singles, Stauffer noted that Federer wore a black armband when he played and lost in the doubles in Toronto alongside Wayne Ferreira - a South African - against Australian duo Joshua Eagle and Sandon Stolle.
"The second half was maybe not as good but still it was solid, so I think the most important thing for me moving into this year is being ready in the mind when the big moments come around".
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