Playing strong safety, Cooper recorded 80 tackles and an interception, while adding six stops on special teams.
Cooper also started 10 games in 2003, but at free safety.
At this point, free agent acquisition Renaldo Hill would figure to start at strong safety, although it's entire possible the Dolphins will acquire another safety before the start of training camp.
Cooper, who played collegiately at Notre Dame and began his NFL career with Carolina, is the fourth defensive back signed in free agency by the Dolphins, following Hill, Will Allen and Andre' Goodman.
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While they gained a defensive back in free agency on Wednesday, they also lost one as Kiwaukee Thomas signed with the Buffalo Bills.
Thomas saw very limited action for the Dolphins last season, so his departure is really no big deal.