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This work has been released into the public domain by its author, Mik81.This applies worldwide. In some countries this may not be legally possible; if so: Mik81 grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
For many practical problems, the detailed Bode plots can be approximated with straight-line segments that are asymptotes of the precise response. The effect of each of the terms of a multiple element transfer function can be approximated by a set of straight lines on a Bode plot. This allows a graphical solution of the overall frequency ...
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The cutoff frequency of the TM 01 mode (next higher from dominant mode TE 11) in a waveguide of circular cross-section (the transverse-magnetic mode with no angular dependence and lowest radial dependence) is given by = =, where is the radius of the waveguide, and is the first root of (), the Bessel function of the first kind of order 1.
Bode's sensitivity integral, discovered by Hendrik Wade Bode, is a formula that quantifies some of the limitations in feedback control of linear parameter invariant systems. Let L be the loop transfer function and S be the sensitivity function .
Bode was born in Hamburg. As a youth, he suffered from a serious eye disease that particularly damaged his right eye; he continued to have trouble with his eyes throughout his life. [1] His early promise in mathematics brought him to the attention of Johann Georg Büsch, who allowed Bode to use his own library for study. He began his career ...
Hendrik Wade Bode (/ ˈ b oʊ d i / BOH-dee, Dutch:; [1] December 24, 1905 – June 21, 1982) [1] was an American engineer, researcher, inventor, author and scientist, of Dutch ancestry. As a pioneer of modern control theory and electronic telecommunications he revolutionized both the content and methodology of his chosen fields of research.
A Nichols plot. The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols. [1] [2] [3] It plots the phase response versus the response magnitude of a transfer function for any given frequency, and as such is useful in characterizing a system's frequency response.