Wi Name Change Is There Anyway I Can Change My Connections Name?

Is there anyway i can change my connections name? - wi name change

Is it possible to change the name of my internet connection for the name because the name was changed for no reason, and I would really like Wi-Fi on my new Nintendo Wii and also the name of the connection has been a 2-wire connection for changing a name like Garcia and I have AT & T, this is my first question on the street is.