A Brisbane man's schizophrenia played no role in his decision to choke, punch and kick a Korean woman to death, a psychiatrist says.

Alex Reuben McEwan is on trial for the murder of Eunji Ban near Brisbane's CBD in November 2013.

Crowds gathered at a memorial ceremony for Eunji Ban in 2013. Credit:Harrison Saragossi (main image)

He has confessed to killing her but pleaded not guilty on the grounds his mental illness deprived him of the ability to control his actions.

McEwan claims he was possessed by a demon named Jazzy when he attacked Ms Ban near her Roma St unit, dragged her body to nearby Wickham Park and dumped it under a tree.