You need is grinder which will sharpen the drill bit and that means that you will have to make sure that you use the correct grinder for the correct type of drill bit.
An electric bench grinder can be used for sharpening the drill bits. These grinders have the diamond grinding wheel or a carbon grinding wheel. Though the diamond grinding wheels are the best grinders.
These can be used to sharpen a wide variety of drill bits like the high spend steel bits or the masonry bits or the carbide bits and even the cobalt bits.
Make sure that you use the grinding guide to grind and also read all the instructions for lubrication. As well use goggles to protect your eyes from the flying particles.