A multivariable bounded-reality criterion

✍ Scribed by N.K. Bose; K. Zaki; R.W. Newcomb

• Book ID: 103087275
• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 470 KB
• Volume: 297
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(74)90124-0

✦ Synopsis

The multivariable approach to the synthesis of networks composed of a finite number of uniform lossless transmission lines, commensurable or incommensurable, and lumped passive elements is ver$ed by showing that the multivariable rational rnatm.x, W(A7, XI, . , , A,) is bounded real in (n + 1) complex variables if and only if W is bounded real in p after substituting, A0 = a,, p +& and hi = tanh (cq p +pi) for hi (I< i < n) where all the a's and /3's are nonnegative and arbitrary, except for being not simultaneously zero in like indexed pairs. Consequences of this result are discussed.