Frequency Design of Lossless Passive Electronic Filters: A State-Space Formulation of the Direct Synthesis Approach

This paper deals with the frequency design of lossless passive electronic filters under magnitude constraints. With huge increase in complexity for mobile applications, new systematic and efficient methods are required. focuses on direct synthesis approach, an historical approach that has not been recently updated. It consists directly synthesizing LC values a pre-specified circuit until spectral mask is satisfied. While beneficial practice, this typically leads to important computational time requires initial guess reduce it. Based recent developments System Control community, led system design, revisited. To achieve this, port-Hamiltonian Differential Algebraic Equation (pHDAE) representation, particularly fits problem, introduced. A method then developed, leading solve optimization problem moderate complexity. For particular cases, happens be remarkably low. observation, second reveals how obtain such more general case, using original combination between pHDAE LFT representations. Finally, numerical example shows validity illustrates benefits work.