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Positive-real function

Positive-real functions, often abbreviated to PR function or PRF, are a kind of mathematical function that first arose in electrical network synthesis. They are complex functions, Z(s), of a complex variable, s. A rational function is defined to have the PR property if it has a positive real part and is analytic in the right half of the complex plane and…

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CompositionZeros and polesSimpleMultiplicityResidues
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ImmittanceLadderBranch pointsPortImpedance or
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Wilhelm Cauer
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OpenPoint at infinityDegrees
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Positive-real function

Nodes41
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Avg. degree1.95
Density0.04878
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Positive-real function

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related to Definition · 2
Positive-real function → Otto Brune, The

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pr function rational poles real functions imaginary displaystyle half axis condition right necessary zeroes positive impedance electrical definition part infinity

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Positive-real functionrelated to DefinitionThe0.60section
Positive-real functionrelated to DefinitionOtto Brune0.60section

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