HOA's can discourage all they like. The FCC over ruled all hoa's and housing covenets. The FCC made it 100% clear that Yes you can put a antenna on your roof.
http://www.fcc.gov/mb/facts/otard.html . . .This has been tested several times in court and the hoa's and housing covenets have lost in court several times. What I find interesting is the Hatred of Tv antennas or any other antennas. The truth is , Antenna Haters are Mentaly Ill. They hide behind rules and regulations so as to hide their Mental Illness.