Macross II (1992)

It is 2089 (80 years after Space War I between humanity and the Zentradi) and Earth is at peace when the battle fleet of a new alien race, the Marduk, is detected near Saturn. The military wants to cover up this new threat but hotshot reporter Hibiki Kanzaki is determined to break the story. In between tangling with the military bureaucracy in general and Valkyrie pilot Silvie Gena in particular, Kanzaki encounters Ishtar—an emulator whose battle songs help to give the Marduk fleet its effectiveness—and brings her to Earth. Subsequently, now with Lt. Gena on their side, Kanzaki and Ishtar launch a desperate plan to stop the Marduk fleet in its tracks and return peace to the solar system.

Source: www.anisearch.com/manga/1278