Best Wideband Impedance Matching Bounds for Lossless 2-Ports

摘要: Abstract : The selection of a lossless 2-port to maximize the wideband power transfer from generator load is ubiquitous problem in electrical engineering. mathematical transducer gain over class 2-ports. As numerical optimization problem, impedance matching difficult because nonlinear, nondifferentiable badly scaled multivariable function. Therefore, any information on global solution valuable engineer for assessing quality suboptimal solutions computed by optimizers. In his classic 1950 paper, Fano determined theoretical upper bound [16]. Specifically, cannot exceed Fano's bound. Development approach continued through 1960s, However, computing these bounds required solving highly nonlinear system multivariate inequalities amenable only simple cases. early 1970s, Helton made amazing connection between operator theory and Powerful Hardy space techniques were coupled engineer's Smith chart computations. this framework, Nehari's Theorem gave an computable as (easy) eigenvalue problem. This report shows that continuity conditions make Nehari tight.