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Heaviside condition information


A transmission line which meets the Heaviside condition, named for Oliver Heaviside (1850–1925), and certain other conditions can transmit signals without dispersion and without distortion. The importance of the Heaviside condition is that it showed the possibility of dispersionless transmission of telegraph signals.[1]: 131 In some cases, the performance of a transmission line can be improved by adding inductive loading to the cable.

  1. ^ Miano, Giovanni; Maffucci, Antonio (2001), Transmission Lines and Lumped Circuits, Academic Press, ISBN 0-12-189710-9

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Heaviside condition

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A transmission line which meets the Heaviside condition, named for Oliver Heaviside (1850–1925), and certain other conditions can transmit signals without...

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Loading coil

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transmitted signal. The mathematical condition for distortion-free transmission is known as the Heaviside condition. Previous telegraph lines were overland...

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Transmission line

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{L\,C\,}}\,\left({\frac {R}{L}}+{\frac {G}{C}}\right)\,x}.\,} The Heaviside condition is G C = R L {\displaystyle {\frac {G}{C}}={\frac {R}{L}}} . If R...

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Oliver Heaviside

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Oliver Heaviside FRS (/ˈhɛvisaɪd/; 18 May 1850 – 3 February 1925) was an English self-taught mathematician and physicist who invented a new technique...

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George Ashley Campbell

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circuit using loading coils. Campbell was aware of Heaviside's work in discovering the Heaviside condition, in which the specification for distortionless...

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Primary line constants

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\scriptstyle Z_{0}} being independent of ω {\displaystyle \omega } (the Heaviside condition) but even in this case, there is still β {\displaystyle \scriptstyle...

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Planar transmission line

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TEM mode is that on an ideal transmission line (one that meets the Heaviside condition) there is no change of line transmission parameters (characteristic...

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Carl Emil Krarup

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of loading add series inductance to the cable to try to meet the Heaviside condition for no signal distortion. Krarup cable consists of iron wires wound...

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Step function

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positive numbers, and is the simplest non-constant step function. The Heaviside function H(x), which is 0 for negative numbers and 1 for positive numbers...

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Step response

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consists of the time evolution of its outputs when its control inputs are Heaviside step functions. In electronic engineering and control theory, step response...

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Laplace transform

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engineering. This method was popularized, and perhaps rediscovered, by Oliver Heaviside around the turn of the century. Bernhard Riemann used the Laplace transform...

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Fourier transform

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f and g are given functions. For the heat equation, only one boundary condition can be required (usually the first one). But for the wave equation, there...

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Inductance

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of a coil or helix of wire. The term inductance was coined by Oliver Heaviside in May 1884, as a convenient way to refer to "coefficient of self-induction"...

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Gauge fixing

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to the present.[citation needed] The archetypical gauge theory is the Heaviside–Gibbs formulation of continuum electrodynamics in terms of an electromagnetic...

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Coaxial cable

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described until 1880 by English physicist, engineer, and mathematician Oliver Heaviside, who patented the design in that year (British patent No. 1,407). Coaxial...

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Cherenkov radiation

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wavefronts had been theoretically predicted by the English polymath Oliver Heaviside in papers published between 1888 and 1889 and by Arnold Sommerfeld in...

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Hermann von Helmholtz

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Maxwell's equations, Heaviside pronounced that longitudinal waves could not exist in a vacuum or a homogeneous medium. Heaviside did not note, however...

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Poynting vector

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: 132  Nikolay Umov is also credited with formulating the concept. Oliver Heaviside also discovered it independently in the more general form that recognises...

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Dirac delta function

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notion of a point heat source. At the end of the 19th century, Oliver Heaviside used formal Fourier series to manipulate the unit impulse. The Dirac delta...

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Call forwarding

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being redirected. More consistently, the forwarded line indicates its condition by stutter dial tone. Call forwarding typically can redirect incoming...

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Physical activity

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White, M. P., De Bell, S., Brousse, O., Elliott, L. R., Fleming, L. E., Heaviside, C., Simpson, C., Taylor, T., Wheeler, B. W., Lovell, R. (May 2024). "Valuing...

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Electromagnetic wave equation

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equation in a vacuum using the modern method, we begin with the modern 'Heaviside' form of Maxwell's equations. In a vacuum- and charge-free space, these...

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