The signal strength of a received channel responds to the inverse square law. That is, for every four times you increase the height of the antenna, you potentially double the strength of the signal received.
I state potentially, because there are a number of other factors involved:
- The quality of the coaxial cable - I always use RG 59U;
- The quality of the connector - the stuff sold off-the-shelf at many stores is not the best quality;
- How well the cable is prepared for the connector;
- How well the connector is terminated on the cable;
- The quality of the splitter - if used, in the feed to your sets;
- The quality of any antenna amplifier used - remember, you CAN have too high a signal strength which will overpower your receiver's tuner.
We are in Chicago, and have an RCA outdoor antenna mounted on our old Dish 500 mast. [I self-added a Dish 1000+ when we upgraded to HD]
The RCA antenna, which looks like a radar antenna, is highly directional. It give us access to more than 20 different digital Chicago area channels, by way of an amplified eight-way splitter provides enough output to power all three 722K tuners and also gives us additional feeds for the future. NOTE: The extra feeds are CAPPED with TERMINATING RESISTORS to keep the splitter signal quality at the highest possible level.
We are in the process of finalizing the purchase of a house on the Illinois Wisconsin border and will be adding a 50' tower with dual high-gain Yagi-style antennas once we close and move. There will be two on the tower because we will have both Chicago and Milwaukee stations, along with the Dish Network feeds.
This will require a bit more planning with amplified signals from both antennas being sent to a mixer to combine the antenna signals and then, once inside the house, to a distribution system to maintain proper levels.
In the case of the new house, it is a lot bigger and one of the cables will travel to an out-building, a 30 X 50 poll barn where I will have a workshop and my partner will have a studio, so we will have two sets there. I will probably experiment with RG 11 for the Dish signal for that as the only location which can see the satellites will be more than 300 feet from the location - as the cable runs.
There are many different antenna resources on the Internet.
For a good explanation of digital antennas and digital TV, see:
DTV Answers : Choosing An Antenna
For a good resource for high-gain antenna suggestions, and resources, see:
AntennaWeb