Title :
Behavior of the Kramers-Kronig relation for measurement noise
Author :
Boche, H. ; Protzmann, M. ; Schreiber, H.
Author_Institution :
Heinrich-Hertz-Inst. fur Nachrichtentech. Berlin GmbH, Germany
Abstract :
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.
Keywords :
Hilbert transforms; Kramers-Kronig relations; integration; measurement errors; measurement theory; sampling methods; Hilbert transform; Kramers-Kronig integral; Kramers-Kronig relation; complex reflectance; continuous functions; dielectric permeability; integration procedures; measurement error; measurement noise; piecewise linear function; Broadband communication; Dielectric measurements; Energy measurement; Equations; Frequency; Noise measurement; Optical refraction; Optical sensors; Permeability; Reflectivity;
Conference_Titel :
Precision Electromagnetic Measurements Digest, 1998 Conference on
Conference_Location :
Washington, DC, USA
Print_ISBN :
0-7803-5018-9
DOI :
10.1109/CPEM.1998.699781
