The synthetic aperture (SA) architecture theoretically allows the generation of equivalent, sharper, high-resolution, directional sensitivity functions in a CE system. As a general rule, the sharper and narrower the DSF of an ommatidium, the larger the intensity contrast will be for a given contrasting object (spot, stripes) moved over that ommatidium, and the higher the spatial frequency bandwidth of the system. The sharper DSFs generated by SA architecture still have the same angular spacing in the CE as do individual ommatidia.
Figure 5.2-9 illustrates a two-receptor SA system. The outputs from two retinula cells, each from one of two adjacent ommatidia, are multiplied together to form an SA output. (Two retinula cells from nearest-neighbor ommatidia are used here for simplicity. Analysis is also carried out in one dimension for simplicity.) Both retinula cells have a Hill or "Cauchy" type of DSF, whose spatial impulse response is given by s(x) =
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