Deconvolution Filters for Determination of the Distribution of Relaxation and Retardation Times
2010
Vairis Strauss,
Aldis Kalpins,
Uldis Lomanovskis
The paper is devoted to determination of the distribution of relaxation and retardation times (DRRT) from various time- and frequency-domain response functions. It is demonstrated that the problem in general reduces to the three deconvolution tasks for the data on a logarithmic time or frequency scale. FIR deconvolution (inverse) filters operating with geometrically sampled data are proposed to use as DRRT estimators. The frequency responses are found and the algorithms of the estimators are derived for estimating DRRT from different response functions. It is disclosed that non-linear phase filters must be used for DRRT recovery from time-domain (impulse and step) response functions, whereas linear phase filters are required for DRRT recovery from the frequency-domain responses. Simulation results are presented obtained by two estimators from the noiseless and noisy input data
Keywords
The paper is devoted to determination of the distribution of relaxation and retardation times (DRRT) from various time- and frequency-domain response functions. It is demonstrated that the problem in general reduces to the three deconvolution tasks for the data on a logarithmic time or frequency scale. FIR deconvolution (inverse) filters operating with geometrically sampled data are proposed to use as DRRT estimators. The frequency responses are found and the algorithms of the estimators are derived for estimating DRRT from different response functions. It is disclosed that non-linear phase filters must be used for DRRT recovery from time-domain (impulse and step) response functions, whereas linear phase filters are required for DRRT recovery from the frequency-domain responses. Simulation results are presented obtained by two estimators from the noiseless and noisy input data
Strauss, V., Kalpins, A., Lomanovskis, U. Deconvolution Filters for Determination of the Distribution of Relaxation and Retardation Times. Telecommunications and Electronics. Vol.10, 2010, pp.26-31. ISSN 1407-8880.
Publication language
English (en)