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Behavior of the Kramers-Kronig relation for measurement noise

: Boche, H.; Protzmann, M.; Schreiber, H.

Belecki, N.B.:
CPEM '98. Special issue on selected papers
New York, 1999 (IEEE transactions on instrumentation and measurement 48.1999,2)
ISBN: 0-7803-5018-9
ISBN: 0-7803-5019-7
Conference on Precision Electromagnetic Measurements (CPEM) <1998, Washington/DC>
Conference Paper
Fraunhofer HHI ()
hilbert transforms; integration; kramers-kronig relations; measurement errors; measurement theory; sampling methods; measurement noise; kramers-kronig relation; kramers-kronig integral; integration procedures; hilbert transform; complex reflectance; continuous functions; measurement error; piecewise linear function; dielectric permeability

In this paper the behavior of Kramers-Kronig relation is investigated. In practice measurements are used to calculate the Kramers-Kronig integral. Several integration procedures to solve this integral are discussed in the literature. However, the results of such procedures are often quite sensitive to the form of the measurement noise. It is the aim of this paper to clarify the influence of the measurement noise.