Premium
Practical Limits of the Kramers‐Kronig Relationships Applied to Experimental Bioimpedance Data
Author(s) -
RIU PERE J.,
LAPAZ CRISTINA
Publication year - 1999
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1999.tb09486.x
Subject(s) - kramers–kronig relations , experimental data , electrical impedance , instrumentation (computer programming) , permittivity , measure (data warehouse) , mathematics , computer science , mathematical analysis , data mining , physics , statistics , optics , dielectric , quantum mechanics , refractive index , operating system
A bstract : Use of the Kramers‐Kronig integral relationships has been proposed by several authors as a means to qualify the validity of experimental impedance data or to obtain the imaginary part of the impedance (or the permittivity) when only the real part is available. Few works are found in the literature where these relationships are applied. The goal of the present work is to investigate the practical limits on the applicability of these mathematical expressions when real factors such as a limited number of measurement frequencies or instrumentation errors are taken into account. We use simulated and real data to perform calculations and conclude that those expressions are practically applicable in almost every experimental situation, including the detection of measurement errors.