A high speed signal connector having a plurality of signal conductors disposed within the housing and a ground bus or plane disposed within the housing and including a plurality of coextensive layers of different conductive materials including at least a first conductive base layer having predetermined conductivity and permeability and a second conductive top layer have predetermined conductivity and permeability. A multiple layer common ground provides for improved current flow within the common ground so as to minimize cross talk between signal contacts. As a result, the present invention provides a connector for high frequency signal transmission which exhibits an attenuation characteristic which is substantially independent of frequency within a predetermined and selectable frequency range and which permits the tailoring of the attenuation and phase response of the connector as a function of frequency.