Airtel — internet connectivity, call drop

Address:

Bangalore, Karnataka, 560037

This has been going on for quite some time. Airtel claims to be the fastest network on tv but it fails to live up to its claims when it comes to the broadband services it provides. Thinking that something was wrong with my wifi modem, i have gotten it replaced after complaining several times to customer care that i did not get any internet connectivity.
They came up with some scheme of providing high speed internet, which is available in the lane behind my house but not uniformly available in the entire block.
When the phone is connected to the wifi, it says connected but no internet. What is the point of such a connection? I pay almost 1.3k bill for the telephone and broadband service but i'm yet to get my money's worth!
Despite changing the modem and making numerous calls to customer care, this problem seems to be never ending and i am seriously considering about taking legal action for deficiency in service.
My sincere request to whomsoever is concerned, to address this problem at the earliest by giving me connection with internet.