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Non-iterative waveform deconvolution using analytic reconstruction filters with time-domain weighting

Abstract:

A new deconvolution approach is described for reconstructing fast step-like or impulsive signals that have been measured with a sampling oscilloscope for which an impulse response estimate is available. The approach uses analytic reconstruction filters to control noise amplification, and a new non-iterative filter optimization that is based on a calculated `indicated error' function that is similar in shape to the true error. The new method aids in reporting uncertainties of the deconvolution results and it permits the use of time-domain weighting to optimize the measurement of different waveform features. The performance of the proposed approach is compared with that of the Error Energy/Regularization approach that is currently popular.