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The use of polynomial partial derivatives in the synthesis of doubly-terminated multivariable networks

✍ Scribed by V. Ramachandran; M.O. Ahmad

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 697 KB
Volume: 319
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(85)90051-1

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✦ Synopsis

A m&variable positive realfunction whose polynomial partial deriuative is a sum of a resistance and a mult~variable reuctancefunction is discussed. It is shown that the input impedance of certain doubly-terminated multivariable lossless networks satisfy this property.

Necessary and su~~ient ~ondit~ons are discussedfor a multivariable positive ~ea~f~nction with unity degree in each variable to be the input impedance of a doubly-terminated cascade of two losstess two-ports in mutua~~y exclusive variables and separated by a series inductor or a shunt capacitor in another variable. A method is given whereby a multivariable positive real function with unity degree in each variable can be reglazed as a doubly-terminated lossless ladder network with all of its transmission zeros at infinity.

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