A system for conditioning air flow to a gas turbine includes a filter housing and a conditioning media inside the filter housing to adjust the temperature of the air flowing through the filter housing. At least one of a depth or a density of the conditioning media varies across the filter housing. A method for conditioning air flow to a gas turbine includes flowing air through a filter housing connected to the gas turbine and flowing the air across a conditioning media in the filter housing. The method further includes conditioning the air flow to reduce the temperature difference of the air exiting the filter housing across a dimension of the filter housing.