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The Smith chart (sometimes also called Smith diagram, Mizuhashi chart (水橋チャート), Mizuhashi–Smith chart (水橋スミスチャート), [1] [2] [3] Volpert–Smith chart (Диаграмма Вольперта—Смита) [4] [5] or Mizuhashi–Volpert–Smith chart), is a graphical calculator or nomogram designed for electrical and electronics engineers specializing in radio ...
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
Examples of Test Results Displayed on Smith Chart Formats Smith Charts region greater than unity (amplifier stability etc.) Noise Figure Circles, constant gain circles ChrisAngove 09:17, 8 October 2006 (UTC) I have introduced a paper published in 1937 which may be an evidence for who invented the Smith chart.
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.
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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).
The problem for graphs is NP-complete if the edge lengths are assumed integers. The problem for points on the plane is NP-complete with the discretized Euclidean metric and rectilinear metric. The problem is known to be NP-hard with the (non-discretized) Euclidean metric. [3]: ND22, ND23