ThinkGood,
You're on to it!.
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Like Paul said, most people don't understand that RF amplifiers amplify EVERYTHING that is fed into them, noise included.
All a masthead-type amp, does, is maintains the signal at a given level, to remove some of the loss in the downlead, a bit like having your TV on the roof!.
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Customers that I've spoken to in the past, seem to think that an amp will make up for a poor Terrestrial signal or a shoddy installation job and man have I had some funny looks when I have told them the truth!.