Channel Builder

Comments about homework T

Putting in a '1' makes you certain that you are open.

Putting in a '1' then a '0' makes you certain that you are closed.

Putting in more '0's leads to greater and greater certainty that you are stuck.

Putting in 0.5 leads to a situation where the measurement does not provide information. In this case the state posterior PMF converges to the "equilibrium distribution for the Markov chain," which is the unique PMF which is unchanged by the prediction. In our case this PMF is heavily weighted to STUCK. Note that if you run a simulation most of the time the channel is STUCK (because it is easy to get into this state but hard to get out). In the absence of any information your best guess is STUCK. Hence the model's behavior when data = 0.5 is repeated.

A datum of 0.5 is very unlikely for INoiselevel = 0.01 and leads to huge negative log-likelihoods. It is not so unlikely with a higher

A bonus problem for Lab T. Can you spot the problem in the answer for this Bonus Problem?