1976IEEE Transactions on Microwave Theory and TechniquesRequires access

A Transformer Cascade, Optimally Matched to a Conductance Shunted by a Stub, Exhibiting Reflection Coefficient Zeros (Letters)

H.J. Riblet

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Abstract

A class of transmission-line networks is exhibited, which consist of alternate quarter-wave line sections and short-circuited stubs terminated in a stub in parallel with a conductance, which are optimum in the sense that no other network of the same form, with the same termination, can have a lower bound on its reflection coefficient in the design band. The reflection coefficients of these optimum networks are equiripple and have the maximum number of zeros in the design band consistent with their length.

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A class of transmission-line networks is exhibited, which consist of alternate quarter-wave line sections and short-circuited stubs terminated in a stub in parallel with a conductance, which are optimum in the sense that no other network of the same form, with the same termination, can have a lower bound on its reflection coefficient in the design band. The reflection coefficients of these optimum networks are equiripple and have the maximum number of zeros in the design band consistent with their length.

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Available abstract

A class of transmission-line networks is exhibited, which consist of alternate quarter-wave line sections and short-circuited stubs terminated in a stub in parallel with a conductance, which are optimum in the sense that no other network of the same form, with the same termination, can have a lower bound on its reflection coefficient in the design band. The reflection coefficients of these optimum networks are equiripple and have the maximum number of zeros in the design band consistent with their length.

Key concepts: Stub (electronics), Reflection coefficient, Cascade, Transformer, Conductance, Transmission line, Mathematics, Transmission coefficient

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