A confessed killer screamed "die, bitch, die" when he beat a Korean woman to death as she walked through a Brisbane park, a court has heard.

Alex Reuben McEwan has pleaded not guilty to murdering Eunji Ban in November 2013, but guilty to a lesser offence of manslaughter on mental health grounds.

McEwan's trial in the Brisbane Supreme Court has heard evidence of what he told police during a formal interview after the killing.

Eunji Ban was found dead in Wickham Park in 2013. Credit:Internet

He told officers that he'd said to Ms Ban: "It's your fault you walked this way because you had to run into me" as he violently attacked her.