Trichet on bill 2002???

Yesterday I had a euro biljet that was not signed by Duisenberg but by J.C. Trichet.
Trichet has follow up Duisenberg in 1 november 2003, but the year on the bill is 2002. I think it is a little bit stranche

http://www.ecb.int/bc/banknotes/looks/html/trichetsignature.nl.html