A bi-directional bridge includes a forward bridge portion, and reverse bridge portion and a shared portion that enables the simultaneous measurement of power flowing in both directions while reducing insertion losses, providing better impedance matching and/or providing improved directionality. In some embodiments, additional attenuation is provided to reduce the common mode rejection requirements of detectors used with the bridge. In other embodiments, multi-tap attenuators and steering circuits may be integrated into the forward and/or reverse bridge portions to reduce common mode signal levels while still maintaining high levels of sensitivity for measuring small input signals.