Engineering Commons^™

Interval Approach To Phase Measurements Can Lead To Arbitrarily Complex Sets - A Theorem And Ways Around It, Bharat C. Mulupuru, Vladik Kreinovich, Roberto Osegueda

Departmental Technical Reports (CS)

We are often interested in phases of complex quantities; e.g., in non-destructive testing of aerospace structures, important information comes from phases of Eddy current and magnetic resonance.

For each measurement, we have an upper bound D on the measurement error dx=X-x, so when the measurement result is X, we know that the actual value x is in [X-D,X+D]. Often, we have no information about probabilities of different values, so this interval is our only information about x. When the accuracy is not sufficient, we perform several repeated measurements, and conclude that x belongs to the intersection of the corresponding intervals. …