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Convexity of a set of subthreshold stimuli implies a peak detector

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It has been shown that for every model of detection (whether single- or multi-channel, with linear or non-linear channels, and whatever decision rule), provided that it predicts a convex set of subthreshold stimuli, there is a psychophysically equivalent peak detector made up of a collection of linear analysers followed by a maximum-output decision rule. In this paper, the equivalent peak detector representations of some widely accepted detection models are calculated. The calculations rest on a general technique for deriving, from a given model, a formula which specifies the analyser most sensitive to any given stimulus.

Affiliations: 1: School of Psychology, Queen's University, Belfast, BT9 5BP, UK

10.1163/156856896X00088
/content/journals/10.1163/156856896x00088
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/content/journals/10.1163/156856896x00088
1996-01-01
2016-12-03

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