Realization of complex digital filters based on the LBC two-pair extraction procedure

The synthesis of real digital filters based on the lossless bounded real (LBR) two-pair extraction procedure is extended to the complex domain. the only component then required is a first-order reciprocal lossless bounded complex (LBC) two-pair. This two-pair permits the synthesis of any bounded complex (BC) or lossless bounded complex (LBC) digital transfer function. Lastly, a unitary implementation in terms of Givens (planar) rotation modules is given for the proposed two-pair.