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# An engineer designed a monopole antenna working at 5 GHz for WiFi application.

An engineer designed a monopole antenna working at 5 GHz for WiFi application. However, when measured, the input impedance of the antenna is found out to be (100 + j100) Ω at 5 GHz due to both engineer's design fault and fabrication inaccuracies, as compared to a standard and desired impedance of 50 Ω.

1) Compute the relative power (with respect to the known input) reflected from the antenna input terminals.

2) Design an impedance transformer to match the antenna at 5 GHz using Microstrip line. Neglect fringing fields around the conductor strips, and consider all materials to be lossless. Typical dielectrics are sold by Rogers incorporation (eg. RT Duroids). Due to tight field confinement, dielectrics with higher permittivity are preferred. Find all the dimensions of the impedance transformer (line width, dielectric height, permittivity and line lengths). You can use online calculators to find these dimensions of either strip-line or microstrip. Make all necessary assumptions and state them clearly.

3) Plot the reflection co-efficient of the resulting impedance transformer from 3 GHz to 7 GHz with a step-size of 0.01 GHz. Determine the 3-dB and 10-dB bandwidth of your transformer.

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