Internet connection needed in using VoIP.
No you don't need to have specific internet connections in order to use VoIP for your computer.
There are only two things your internet connections should have in order to use VoIP in your computer.
First is the speed or sufficient speed for your computer, various internet service provider will have different suggestion on your minimum internet speed connection so that you can use the VOIP services,and most of them will show you or give a test for their speed so that you will know if you can really use that speed for your VOIP.
Most of the service provider agree that a speed connection of 256 kbps upload and download will be able to use VOIP but the faster the speed connections the better your VOIP works.
The second things to consider is an Ethernet connections for your ATA.
You must have a wired internet connections in order to use VOIP. If your using WiFi you should have wired connections as well,as most people get their wifi through connecting on a router to a wired internet connections because if your only using WiFi it will not work properly on your VOIP.