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Using the Smith chart, the normalised impedance may be obtained with appreciable accuracy by plotting the point representing the reflection coefficient treating the Smith chart as a polar diagram and then reading its value directly using the characteristic Smith chart scaling. This technique is a graphical alternative to substituting the values ...
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 ]
English: Most basic explanation of the Smith chart. A wave travels down a transmission line of impedance Z0, terminated at a load ZL. The voltage reflection coefficient is Gamma. The normalized impedance is z. Each point on the Smith chart represents a value of z (bottom left), and also represents the corresponding value of Gamma (bottom right).
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.
Using the scales on a Smith chart, the resulting impedance (normalized to ) can directly be read. Before the advent of modern electronic computers, the Smith chart was of particular use as a sort of analog computer for this purpose.
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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
Smith diagram or Smith diagramme may refer to: . Smith chart, a diagram by American electrical engineer Phillip Hagar Smith, used in electrical engineering; Smith fatigue strength diagram [], a diagram by British mechanical engineer James Henry Smith [], used in mechanical engineering