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Circuit-slide-7

# Circuit-slide-7 - Smith Chart The Smith chart is one of the...

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Smith Chart The Smith chart is one of the most useful graphical tools for high frequency circuit applications. The chart provides a clever way to visualize complex functions and it continues to endure popularity decades after its original conception. From a mathematical point of view, the Smith chart is simply a representation of all possible complex impedances with respect to coordinates defined by the reflection coefficient. The domain of definition of the reflection coefficient is a circle of radius 1 in the complex plane. This is also the domain of the Smith chart.

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all possible impedances on the domain of existence of the reflection coefficient. To do so, we start from the general definition of line impedance (which is equally applicable to the load impedance) This provides the complex function Z ( d ) = f { Re ( Γ ) ,Im ( Γ )} that we want to graph. It is obvious that the result would be applicable only to lines with exactly characteristic impedance
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Circuit-slide-7 - Smith Chart The Smith chart is one of the...

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