LBR realization of MIMO systems using rotation blocks

This paper introduces a lossless bounded real (LBR) realization method of multi-input multi-output (MIMO) systems using rotation blocks. For this, it first discusses how to realize a given LBR system in the form of LBR two-pair cascades, and then it examines a systematic extraction procedure which enables realization of each LBR two-pair in the form of rotation block. Finally, it demonstrates the LBR realization method using a detailed numerical example: a given HR transfer function is first converted into a 4/spl times/4 TDF transfer matrix, which is then realized in a rotation block cascade.