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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.
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Francisco Torres (1990) studied this question.
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