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Deconvolution of time series in the laboratory

: John, T.; Pietschmann, D.; Becker, V.; Wagner, C.


American journal of physics 84 (2016), Nr.10, S.752-763
ISSN: 0002-9505 (Print)
ISSN: 0096-0322 (print)
ISSN: 1943-2909 (online)
Fraunhofer IVI ()

In this study, we present two practical applications of the deconvolution of time series in Fourier space. First, we reconstruct a filtered input signal of sound cards that has been heavily distorted by a built-in high-pass filter using a software approach. Using deconvolution, we can partially bypass the filter and extend the dynamic frequency range by two orders of magnitude. Second, we construct required input signals for a mechanical shaker in order to obtain arbitrary acceleration waveforms, referred to as feedforward control. For both situations, experimental and theoretical approaches are discussed to determine the system-dependent frequency response. Moreover, for the shaker, we propose a simple feedback loop as an extension to the feedforward control in order to handle nonlinearities of the system.