The former Che left-back, who scored in Spain's European Championship final victory over Italy, believes he will have no problems fitting in at the Blaugrana
After an impressive domestic season with Los Che, the 23-year-old left-back played a key role in Spain's European Championship triumph, and he admitted that he is now focusing on his move to Camp Nou.
"I'm coming home, with my family and my people, that's why I'm so content," Alba told the club's official website. "It's been an incredible month for me and now I have to take advantage of the opportunity that Barcelona have given me.
"I'm excited that I'll be playing for the best team in the world, with the best players and the best fans. It's a big challenge for me but I'll try to do my best.
"I was only 15 when I left Barcelona to do my own thing. Luckily, after some years, they have signed me again. The club has given me a chance and I'm very pleased."
The Catalan assured fans he would have no problems bedding into the club again, and confirmed he had already spoken with incoming coach Tito Vilanova.
"Besides the national team players, I already know a lot of guys in the youth system, the team-mates I played with when I was here. I'm sure I'll have a fast transition.
"Vilanova and I talked after the Euro final and he congratulated me. I'm very eager to start playing under him."
Alba played in every game of La Furia Roja's successful defence of their European crown, and scored the second goal of the 4-0 win over Italy in the final in Kiev.