Apparently Massachusetts customers are a priority for  AT&T Inc.. The wireless carrier says its going to spend big bucks this year on upgrading its cellular phone network in the Bay State.

AT&T executives today unveiled a plan to upgrade network connections to 1,000 existing cell sites, so they will be able to handle more voice and data traffic. The company will also build 35 new cell sites, increase the amount of radio frequencies that connect to the network, and set up advanced antenna systems in high-traffic areas like the Boston Convention and Exhibition Center. AT&T officials wouldn’t say how much they’d spend on upgrades in Massachusetts, but company-wide, it plans to spend $19 billion on capital improvements this year, including enhancements to its wireless and land-line networks.