Abstract
Topics of this paper are a concept and applications of some optimal equalizing antialiasing filters for the use in analog-digital-conversion. The filters are cascade combinations of analogue and nonrecursive digital systems, where benefits of oversampling are used to advantage. Equalizations of magnitude and phase or group delay, respectively, are performed in the passband by the digital filter. The effect of such equalizations in the time domain is investigated with respect to the step response, which is of special interest for measuring technique and signal analysis. The designed filters are optimal with respect either to the (bounded) mean squared- or to the maximum norm. A convex semi-infinite programming technique will be presented as a way of dealing with the proposed design problems. Furthermore, an easy implementable way will we described for one filter in detail.
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