A microstrip patch antenna has an input impedance, Zin, characterized as follows:
Rf = 300 sech J-J xf = -30 sech{- f. = 1.9 GHz a = 20 MHz
Note that at the design frequency, fo, Zin = 300 + j0, which is the load for which you should design your system. The equations above can be used to generate a Data File for use with rfTool.
A 50 microstrip transmission line with phase velocity, vp = 0.75 c, is available to connect the load to a 10 V source with Zg = 50 Ω. Two possible configurations of matching networks are available as shown below: A short-circuited, single stub configuration and a single stage, quarter wave matching network, where Zi is to be determined. Generate solutions using both configurations and compare them for bandwidth, using a standing wave ratio (SWR) of 2 as a figure of merit. Assume a center frequency of 1.9 GHz. Corroborate your designs with Matlab, i.e. ABCD parameters AND rfTool, copies of which are to be submitted.
Two-Stage Quarter Wave Matching network
Short-circuited, Single Stub Matching network