An convex optimization approach to the matching problem: application to the co-conception of antenna filters

The synthesis of filters and antennas present in microwave reception or emission chains are usually done by assuming a fix resistive reference (usually 50 Ohm) at their connecting ports. The antenna's mismatch is then either ignored or compensated by an additional matching network, resulting either in a degradation of the energy efficiency or in an increased footprint of the overall hardware. The aim this talk is to develop a synthesis technique for matching filters, allowing to handle the matching and filtering requirements in a single filter and rendering superfluous the use of an extra matching network. Based on the work of D.C. Youla and the mathematician J.W. Helton we will present a near optimal approach to the to the matching filter synthesis problem, using convex optimisation. Practical cases will also be considered.