This section derives a linear model for the spatial filtering that occurs in lateral LI. First consider the surface of a Limulus CE as an oval, defining an area in x,y angle space. Assume that each ommatidium is represented by a differential area (solid angle) of AxAy located at jAx, kAy. The frequency of its E-cell will be affected, in general, by the frequency of a spiking E-cell located at pAx, qAy. To simplify interpretation, set the firing thresholds, ^ ^ 0. Thus, by superposition, j=i or, more simply,
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