Off the top of my head, a game in a similar style which came with my first PC back in 2001 was "BHunter" (or "B-Hunter")... but I only installed it once, and took it off again very quickly because, as one review I found whilst looking for screenshots aptly put it, "the game's a sausage". So I don't remember if it had that constant radar noise; Could it be BHunter you recalled though?
http://www.neoseeker.com/Games/Products/PC/bhunter/