Analysis of transient multiexponential signals using exponential compensation deconvolution

Record truncation discontinuities (RTDs) are artifacts in recorded data caused by the difference between the values of the data at the two ends of the record. The RTD causes errors in waveform reconstructions, in particular, in digital reconstructions that use a deconvolution process. The effects of the RTDs on reconstructions of discrete-time waveforms are examined. Four previously proposed methods for reducing the effects of RTD on the spectra of step-like waveforms are examined for application in deconvolution, and a comparison of their effects in deconvolution is given. An analysis of the errors is given for each case. >

Reducing the effects of record truncation discontinuities in waveform reconstructions

Comments on a Numerical Method Allowing an Improved Analysis of Multiexponential Decay Curves

An FT transfer into time-domain, followed by a double FT deconvolution, allows us to analyze dispersion or absorption curves similar to those obtained in low frequency dielectric or ultrasonic experiments.

An improvement of low frequency spectroscopic techniques applying fourier transform processes

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Negative dielectric constant of photo-conducting polymers upon corona-charging

The calculation of the fast fourier transform (FFT) for a step-like bounded function with unequal values at boundaries may be performed by using a convenient decomposition of the total curve into two elementary ones, one of them being a linear ramp. The method may be generalized to functions having asymptotic tails which may be approximated by simple analytic functions, the theoretical FFT of which is known.

Yves Balcou

Papers

The Problem of Calculating the Fast-Fourier Transform of a Step-Like Sampled Function