Functional conversion of signals in the study of relaxation phenomena
Signal Processing
Journal of Computational Physics
Decomposition of multi-exponential and related signals: functional filtering approach
WSEAS Transactions on Signal Processing
Sampling in relaxation data processing
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
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There is a widespread belief in scientific literature on material research that the distribution of relaxation and retardation times (DRRT) is a non-measurable quantity. In the presented contribution, we try to revise this belief. Based on the recently developed functional filtering approach for DRRT recovery, measurement systems are proposed to develop executing an active measurement experiment by exciting material with the specific stimulus, measuring material's responses sampled geometrically in time- or frequency-domain and processing them by the appropriate DRRT recovery filters. Design and algorithms of DRRT recovery filters are considered and practical implementations of DRRT measurement systems are proposed executing measurement experiments by exploiting the standard excitations, such as the Heaviside step function, the Dirac delta function and the steady-state multi-harmonic one.