Explicit solutions of two-variable scattering equations and broadband matching network design
Mixed lumped and distributed element network design has been a significant issue for microwave engineers (Aksen, 1994). The interconnections of lumped elements can be assumed to be transmission lines and used as circuit components. Also the parasitic effects and discontinuities can be embedded in the design process by utilizing these kinds of structures. Since these networks have two different kinds of elements, their network functions can be defined by using two variables; p = σ + jw for lumped elements and λ = tanh(pτ ) for distributed elements, where τ is the equal delay length of distributed elements. In the earlier studies, since there is a hyperbolic dependence between p and λ,transcendental functions were used to express these kinds of network functions. But then p and λ were assumed as independent variables, the network functions with two variables were used to describe two-port networks with mixed elements. Although there are lots of studies in the literature about mixed element networks, a general analytic procedure to solve transcendental or multivariable approximation problems to design mixed element networks does not exist. But to describe lossless two-ports with mixed elements, there is a semi-analytic technique (Aksen, 1994). In this approach, two-variable scattering functions are used and practical solutions are obtained. But it is applicable for the restricted circuit topologies; LC ladders cascaded with commensurate transmission lines (Unit Elements). In this thesis, the complete and explicit equations are derived for lossless low-pass mixed-element topologies, and by using the equations solved without any restriction,a broadband matching network design was made. The results were compared with the results in the literature.
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Authors:Şengül, Metin Y.; Yeşilyurt, Gökmen
Publisher and Date:(Institute of Electrical and Electronics Engineers Inc., 2018)In this paper real frequency design of Pi and T matching networks with complex terminations is studied. Generally the generator and load termination impedances are given as measurement values. So they can be regarded as a resistor and a reactive element connected in series. To be able to design a Pi network this series impedance models must be transformed to parallel models. But for T network designs the assumed series models can be utilized there is no need a transformation process. Then Pi or T ...
in this dissertation the algorithm known as “Standard Decomposition Technique (SDT)” is used together with Belevitch’s canonic representation of scattering polynomial for two-port networks operate on high frequency to find the analytical solutions for “Fundamental equation set (FES)”. This FES is extracted by using Belevitch canonic polynomials “ ??(?? ??) ?(?? ??) and ??(?? ??)” used for the description of mixed lumped and distributed lossless two-port cascaded networks in two variables of degree ...
Authors:Karatalay, Onur; Erküçük, Serhat; Baykaş, Tunçer
Publisher and Date:(Inst Engineering Technology-IET, 2018)TV White Space (TVWS) refers to frequency band reserved only for licensed terrestrial TV broadcasting and is opened to unlicensed use under regulatory conditions. While regulations protect licensed systems from interference interference among unlicensed systems is left mainly to manufacturers. Consequently there is a need to develop new coexistence approaches between TVWS networks. Busy tone broadcasting is a coexistence method which can be used by TVWS networks to announce the selected frequency ...