1. In this problem we'll
explore the role of noise in enhancing information transmission for
weak signals via a stochastic resonance mechanism.
Use you integrate-and-fire neuron model from Homework #2 with the
Drive the model with the
following weak input current:
I(t) = 0.3*sin(2*pi*f*t), with f = 1 Hz.
Add random gaussian noise (randn) to the input current at each
of the following noise levels (standard deviation): 0.0, 0.1, 0.2, 0.5,
1.0, 2.0, 5.0 and 10.0 nA
Generate plots of membrane
potential versus time for each noise level. Arrange the outputs
vertically with an offset of 100 mV between traces, as in the following
plot. Simulate 5 seconds of the response at each noise level (DT = 1 msec).
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