Air Transmission Interference With Cable Signal

I just purchased a home and had cable installed. We live very close to where our local television stations are transmitted. So, when we tune the tv to cable stations that coincide with the transmitted stations we get a slight double picture. I'm assuming this means the cable signal isn't the strongest it can be. I am wondering if there is a filter that will filter out the air transmitted signal, so we can do away with the double picture. Thanks for any help.