A federal judge has signed off on a $1.53 billion jury verdict in favor of Alcatel-Lucent SA in a digital music patent dispute against Microsoft Corp., which plans to appeal.

U.S. District Judge Rudi M. Brewster in San Diego entered his judgment Monday, concluding Microsoft’s Windows Media Player software infringed on patents owned by Lucent Technologies Inc., a U.S. telecommunications equipment maker acquired last year by France-based Alcatel.