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Note: In all the problems, be mindful of the units of various quantities and the sign conventions
for currents and voltages.
Your submission must include:
1. A .pdf file clearly documenting your code, figures, and results.
2. Your code.
There are three questions in this HW and you should submit three codes. We should be able
to run these three code files and obtain all the figures for each of the three questions. You will
lose credit if your code is absent or cannot be run.
Store your write-up and code in a single directory named hw1 yourID (for example hw1 12D423222)
and submit it in Keats.
Do not wait till the last minute to start the Assignment as you will require at least at least 8
hours to complete all the questions.
You may discuss the overall approach and high-level aspects with your group partners, but
codes and submitted documents should be your own.
Late submission policy:
Before the solution key is uploaded in Keats: If your original score is S and you submitted
the HW X hours after the deadline, your score will be S exp(?X/24).
After the solution key is uploaded in Keats: 0 credit.
In this assignment, we will study a simple case of a SNN receiving time-dependent inputs.
Problem 1: Interconnected network of neurons with non-plastic synapses
The connectivity relationship between the neurons can be represented by a N × N matrix W
where wi,j is the strength of connection from neuron j to neuron i.
(a) Write the connectivity matrix for the following 3-neuron, 9-synapse network: Neuron 1 receives
input from Neuron 3 with a strength of 100. Neuron 2 receives input from Neuron 1 with
a strength of 500. Neuron 3 receives input from both Neuron 1 and neuron 2 with a strength of
300 and 200 respectively. 2 points
(b) The spiking state of the neurons can be represented by a N × 1 column vector, S. At any
time instant, if the k
th neuron spikes, the k
th entry of this column vector is 1, else it is 0.