Abstract

The <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> th-order multiple coherence between a stationary random process and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> other stationary random processes is decomposed into a sum of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> components consisting of products of lower order partial and multiple coherence functions. An inequality is derived between partial coherence and the ratio of ordinary coherence to multiple incoherence. As a result, a coherency diagram is suggested describing the different coherency functions and their relationships.

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