In these simulation studies an energy weighting method is applied to the signals of the CMS hadronic calorimeter with a possible readout scheme after the future upgrade. Tabulated weighting factors are used to compensate for the different response of hadronic and electromagnetic energy depositions of simulated pion showers in the hadronic calorimeter. The weighting improves the relative energy resolution from (E/E)2 = [((92.5 ± 0.6)%/E)2 + ((6.5 ± 0.1)%)2] GeV2 to (E,weight/E)2 = [((85.5 ± 0.5)%/E)2 + ((4.4 ± 0.1)%)2] GeV2.