Abstract: The present invention comprises novel means and apparatus which provide both impedance matching of arbitrary impedances and transformation between single-ended, floating, and balanced circuits over very wide operating bandwidths with very low excess loss and very low phase and magnitude ripple in the pass band. The present invention can provide high-performance matching, for example from a 50-ohm single-ended system to a 100-ohm balanced system over a bandwidth of 10 kHz to 10 GHz with an excess loss of less than nominally 1 dB and a bandpass magnitude ripple of less than ±0.5 dB. The present invention also provides precision low-loss power division over very wide-bandwidth. The novel means, according to the present invention, can utilize commonly available materials and can be optimized for specific applications to tailor performance to specific needs and to simplify assembly and reduce cost.