Fast communication Adaptive approximation of feedback rank %lters for continuous signals (original) (raw)

Abstract

Rank-based nonlinear %ltering techniques are steadily gaining in popularity due to their robustness. However, the analog implementation of these techniques meets with considerable conceptual and practical di2culties. Here we describe an adaptive approximation for a rank %lter of a continuous signal expressed in terms of a system of di3erential equations easily implementable in an analog circuit. The design is based on consideration of the %nite precision of physical measurements, which leads to simple and e2cient implementation of many traditionally digital analysis tools. We also illustrate the performance of the adaptive approximation %lter in comparison with the respective 'exact' rank %lter in a boxcar moving window.

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