Publication IEICE TRANSACTIONS (1976-1990)Vol.E62No.8pp.529-535 Publication Date: 1979/08/25 Online ISSN: DOI: Print ISSN: 0000-0000 Type of Manuscript: PAPER Category: Circuit Theory Keyword:
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Summary: The present paper deals with the Richards' transformation which converts a multi-variable positive (real) function to another multi-variable positive (real) function. This transformation is based on the fact that the network function reduces to a constant for all zeros of an irreducible polynomial h (p1, p2, ・・・, pn) (1degpih). And its application to the cascade synthesis or the Bott-Duffin type synthesis of a class of multi-variable driving-point impedances, is discussed. Finally, we present the corresponding transformation for the multi-variable positive (real) matrices.