Geometrical interpretation of mutual relationship between ordinary coherence and noise power contribution ratio.

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概要

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• Coherence function is one very important tool of noise analysis and in practice has been widely utilized since long for various studies associated with reactor noise. Re-cently a spectral decomposition technique, the so-called noise power contribution (NPC) analysis<SUP>(1)</SUP> based on time series modeling has come into use in the reactor noise field. One of the present authors first made clear the-oretically the relation between the ordinary coherence (OCH) and the NPC functions<SUP>(2)</SUP>. He also proposed a method of noise analysis called "OCH-NPC comparison approach" which evaluates system dynamics by com-parison of the OCH and the NPC functions<SUP>(3)</SUP>. The method has proved to have potentials of clarifying the cause-consequence relation-ship between measured variables, detecting feedback and of extracting the property of a feedback effect if it exists.<BR>In this note, an attempt is made to add further insight into the physical meaning of the OCH-NPC comparison approach by in-terpreting the relation between the OCH and the NPC functions in terms of a vector (phasor) representation on a complex plane. Through the mathematical development, it will be shown that the OCH corresponds to the squared magnitude of a vector represented by the sum of two vectors with magnitudes determined by the NPC ratios. This geomet-rical interpretation will be useful for making clear the significance of the OCH-NPC com-parison approach as a method to evaluate system dynamics.

• 一般社団法人 日本原子力学会の論文

著者

• OGUMA Ritsuo

  Tokai Research Establishment, Japan Atomic Energy Research Institute

• MATSUBARA Kunihiko

  Oarai Research Establishment, Japan Atomic Energy Research Institute

関連論文

• Geometrical interpretation of mutual relationship between ordinary coherence and noise power contribution ratio.

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