Passivity and Maximum Quality Factor Assessment in Lossy 2-Port Transfer Functions

Lossy transfer functions are appealing in the design of filters and electric networks, as they can be exactly implemented by physical passive components. However, lossy techniques relax most constraints governing thus offer many degrees freedom but with unclear effects on realizability. This work describes first an analytical method to check whether a given 2-port matrix function is passive. Moreover, for comparison purposes, technique assess maximum allowed predistortion proposed, related highest required quality factor.