Here is the Federal Antenna Law that says Yes you can , install and use Tv antennas above your roof that are Any Size.
So as to have Reliable Digital Tv Reception.
http://www.fcc.gov/mb/facts/otard.html.
HOA's , housing coven-nuts , and etc. , are well aware of this Federal Antenna Law , some keep there mouth shut about it , others will straight out Lie , and a few will tell the truth that Yes you can install a Tv antenna above the roof.
Above the roof install a Winegard HD7696P antenna with a Antennas Direct CPA-19 preamp , aimed at about 260 degree magnetic compass direction.
Here is how to aim antennas ,
http://www.kyes.com/antenna/pointing/pointing.html.
Install the HD7696P antenna above the roof in such a manner that the roof or house does not block reception to the , west and south east.
Here are some above the roof antenna mounts ,
http://www.ronard.com/909911.html ,
http://www.ronard.com/34424560.html If using a eave mount use the #4560 ,
http://www.ronard.com/ychim.html.
Buy the ronard antenna mounts at solidsignal by typing the word ronard in the solidsignal search box.
Here are some places to buy antennas and etc. ,
http://www.solidsignal.com ,
http://www.amazon.com ,
http://www.winegarddirect.com.
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For 1 Tv connected use no splitter.
For 2 Tv's connected use a , HFS-2D , 2 way splitter.
For 3 Tv's connected use a , HFS-3D , 3 way splitter.
Buy the HFS splitters at ,
http://www.solidsignal.com , or ,
http://www.hollandelectronics.com.
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As always , trees and tree leaves do a real fine job of reducing or blocking Digital Tv reception and so do buildings and other obstructions including your own house.
It is best to install the antenna at a location that has the least amount to no amount of obstructions of any type or kind in the directions of reception including your own house.
The Tv/s Must Channel Scan for the Digital Broadcast Tv Channels , sometimes named the 'Air Channels' or 'Antenna Channels' in the Tv setup menu because the Digital Broadcast Tv transmissions travel through the air from the transmitting antenna to the receiving antenna.
DO NOT channel scan for cable tv channels.