The absolute best way to complete this is to play in infinite mode. Pass the first three waves. Then destroy your ship while the enemy ship is the furthest to the right that it will go.
After killing yourself restart infinite mode and repeat, killing yourself on the 4th wave while the enemy ship is as far right as it will go.
Once you reach the fourth wave and there is no ship that spawns, you're ready for the achievement.
After this, simply plug in your phone and wait three hours (and get achievements on your xbox).
The other method says to wait 30-45 minutes. This method you only need to play 10-15 minutes.