Fractional order element based impedance matching

摘要

Disclosed are various embodiments of methods and systems related to fractional order element based impedance matching. In one embodiment, a method includes aligning a traditional Smith chart (|α|=1) with a fractional order Smith chart (|α|≠1). A load impedance is located on the traditional Smith chart and projected onto the fractional order Smith chart. A fractional order matching element is determined by transitioning along a matching circle of the fractional order Smith chart based at least in part upon characteristic line impedance. In another embodiment, a system includes a fractional order impedance matching application executed in a computing device. The fractional order impedance matching application includes logic that obtains a first set of Smith chart coordinates at a first order, determines a second set of Smith chart coordinates at a second order, and determines a fractional order matching element from the second set of Smith chart coordinates.

主权项

1. A method for fractional order element based impedance matching, comprising:
aligning, by a computing device, a traditional Smith chart with a fractional order magnitude equal to one (|α|=1) with a fractional order Smith chart with a fractional magnitude not equal to one (|α|≠1); locating, by the computing device, a load impedance on the traditional Smith chart; projecting, by the computing device, the load impedance location from the traditional Smith chart onto the fractional order Smith chart; and determining, by the computing device, a fractional order matching element by transitioning along a matching circle of the fractional order Smith chart based at least in part upon a characteristic line impedance.