It not that you have a super signal or not, you have a super picture or not.
There are three primary things that matter on the RF signal.
Obviously, the first criteria is signal strength.
Second and third are multipath and intermod.
In the old days of analog, multipath equaled "ghost" on the picture. This is caused by reflections from objects in the coverage area. It could be a mountain, steel bridge, or even a bill board. Because the signal is reflected it has a slightly longer path to your antenna then the direct path signal. You could live with it if you had to in analog world. For the ATSC transmission of multi-level encoded digital words, the receiver demodulator has a lot of trouble with time delayed muliple copies of the transmission. Newer signal processing techiques are improving ability to get the bits out correctly from multipath transmissions. Directional outdoor antenna can help.
I would say the Hr20 is fair in this category but not as good as some of the new chipsets. My Samsung does a little better.
I have a multi-outdoor antenna system to pick up stations from different directions. Because I have the mulitple antennas I am asking for multipath problems. I have traps and filters before combining, but for the HD reception, my toughest issue is getting the multipath down to acceptable levels. My most difficult stations are also the closest stations of only three or four miles away. The 45-50 mile away stations are no problem. I get 25 OTA HD channels presently, from Ft. Pierce,FL to Miami stations.
The third killer is intermodulation distortion. The receiver itself is not the problem, it usually is due to an antenna amplifier put on the antenna. It is sort of the American way, if one aspirin is good, two must be better. I have seen a lot of bad reception because of amplifier put in line.
You may think an amplifier will help a far away, weak station but all the nearer, strong signal channels can overload the amp and create cross modulated interference products that destroy even the good signal strength channels. If you put in an amplifier, get one with high third order intercept point, or in other words, good large signal handling capability. High dbmV output does not mean good large signal handling performance. It might just mean high gain. Use as little gain as does the job (make up cable loss).