Abstract
Task-dependent response - eg, in instrument calibration, spatial positioning and the like - is a long nursed requirement: transition to the end state very fast, albeit imprecise, followed by slower but very accurate final action. The realisation, of course, is a non-linear filter which can take many levels of refinement. In this paper the analysis is presented of the most simple continuous type and it is shown that signal-dependent overshoot (associated with fast response) can be obtained using networks with strictly low-pass (non-negative) impulse response.
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