Alizâdeh was born in 1951 in Tehran to an Azeri father (from Urmia) and a Persian mother (from Arak). As a teenager he attended secondary school at a music conservatory until 1975. His music studies continued at the University of Tehran, where his focus was composition and performance. He began postgraduate studies at the Tehran University of Art. After the Iranian Revolution, he resumed his studies at the University of Berlin, where he studied composition and musicology.
Alizâdeh plays the tar and setar. He has performed with two of Iran's national orchestras, as well as with the Aref Ensemble, the Shayda Ensemble, and Masters of Persian Music. In Europe, his first professional performance was with the Bejart Ballet Company’s orchestra in a performance of a Maurice Béjart ballet called Golestan.
Over the years Alizâdeh's teachers have included Houshang Zarif, Ali Akbar Shahnazi, Nur-Ali Borumand, Mahmoud Karimi, Abdollah Davami, Yusef Forutan, and Sa'id Hormozi