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Deconvolution of Fast Electrical Pulses for Standard Purposes
1996 - 1997
Local supervisor: Dabóczi Tamás
1. Objective Measurement of high speed signals requires a measurement device with large bandwidth. The demands against the measurement system for calibration of high speed pulse and impulse generators are very high. The bandwidth of the measurement device cannot be increased beyond a certain limit. The solution for extending the bandwidth is to postprocess the measured signals and correct the results numerically. The Electronic Instrumentation and Metrology Group, Electricity Division, NIST, calibrates high-speed pulse and impulse generators, providing the national standard for these measurements. To reach the very high bandwidth the calibration system incorporates an inverse filtering algorithm (deconvolution) to improve the measurement by means of digital postprocessing of the measured signal. Postprocessing (reconstruction) of the measured signal is an estimation procedure, since the measurement is always corrupted by noise. The reconstructed signal will differ from the true input signal. There is an increased interest for the error analysis of the reconstructed signal. An error bound around the reconstructed waveform would give an idea about the possibilities of the true input signal. We can distinguish between systematic and stochastic errors. The primary aim of this research is to estimate the systematic error (bias) of the reconstruction process. 2. Expected benefits The error analysis of the signal reconstruction gives a bound around the estimated signal. This information increases the usefulness of the reconstruction with a great extent, since the uncertainty and bias envelope provides an upper bound to the errors with a certain confidence level.