The amplified splitter divides the signal and amplifies each output. The problem is easily solved with an attenuator. It is a passive device that simply reduces the strength of the incoming signal without losing clarity. The device can be found at the same place that you bought your antenna. If everything is secure and tight, examine the condition of the line.
Transmission lines can suffer damage from hungry pets and vacuum cleaners.
A nicked section of line should be repaired or replaced. If everything looks fine behind the TV, grab a ladder and head outside. Loose connections and damaged antenna elements will be readily obvious by a visual inspection. Make certain that all connections and fasteners are tight and secure. Look for frayed wires, corrosion, or other evidence of deterioration.