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The Smith chart may also be used for lumped-element matching and analysis problems. Use of the Smith chart and the interpretation of the results obtained using it requires a good understanding of AC circuit theory and transmission-line theory, both of which are prerequisites for RF engineers.
In the mathematical field of graph theory, a Smith graph is either of two kinds of graph. It is a graph whose adjacency matrix has largest eigenvalue at most 2, [ 1 ] or has spectral radius 2 [ 2 ] or at most 2. [ 3 ]
The Smith Chart allows simple conversion between the parameter, equivalent to the voltage reflection coefficient and the associated (normalised) impedance (or admittance) 'seen' at that port. The following information must be defined when specifying a set of S-parameters: The frequency
If Z/Z 0 is inside the 1+jx circle on the Smith chart (i.e. if Re(Z/Z 0)>1), network (a) can be used; otherwise network (b) can be used. [2] A simple electrical impedance-matching network requires one capacitor and one inductor. In the figure to the right, R 1 > R 2, however, either R 1 or R 2 may be the source and the other the load.
You can look at page , where is an example Smith chart and description of Smith diagram.-- MestskyVlk ( talk ) 19:46, 30 September 2021 (UTC) [ reply ] I think, what you refer to is the Smith fatigue strength diagram [ de ] by British mechanical engineer James Henry Smith [ de ] .
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The Smith chart, used by electrical engineers for analyzing transmission lines, is a visual depiction of the elliptic Möbius transformation Γ = (z − 1)/(z + 1). Each point on the Smith chart simultaneously represents both a value of z (bottom left), and the corresponding value of Γ (bottom right), for |Γ |<1.