I suggest try a NON Amplified indoor antenna , one of the ones listed at
http://forum.tvfool.com/showthread.php?t=233 , FIRST. Connect the NON Amplified indoor Tv antenna to the Tv and select in the Tv's menu to scan for Broadcast Digital Tv Channels. IF the reception is not good then it is Ok to use a length of coax so that the antenna can be moved to the glass balcony/patio door for better reception. . . . Well the one satellite dish that is on the outside of the Apt. building has established the FACT that antennas are not totaly band from being mounted on the outside of the buildings , is it mounted on the building or on some type of pole or stand that is not directly atatched to the building?? . No I am not suggesting that you get a satellite dish. Believe it or not there is a world beyond arms length. And it is Ok to go around the outside of the other buildings and make mental notes of what you see in the way of antennas of All different types and kinds. Here is more information to read and understand ,
http://www.fcc.gov/mb/facts/otard.html . This says that YES you can install and use Tv antennas that are with in the direct use and control of your Apt. , such as patios and balconies. And further more not all Apt. complexes ban the the attatchment of satellite dishes or other types of Tv antennas to the outside of the building that is beyond your direct use and control. I suggest that the next time you are out and about on this world that open your eyes. There is a wonderful and brave new world waiting for you that is beyound arms length , go get it.