Figure P510a

a. Find an expression for the transfer function, R(u)/F(u) = H(u), in the frequency domain when ki(x) = kio exp(-a|x|).

b. Give an expression for, and plot to scale the spatial impulse response, h(x), of the statocyst continuous model LI system. Let f(x) = S(x). Ignore negative frequencies.

c. Assume that f(x) is modeled by f(x) = fo exp(-y|x|) mg. Calculate the continuous distribution of output frequency vs. x, r(x). Neglect negative frequency values. Note that the FT pair, f(x)

(downward)

i-h * cuia ill ill ill ill mi ill ill ill ill ili

Inhibitory synapses Lateral inhibition r(0) r(nAx)

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