Estimation and Control over a Nonstochastic Binary Erasure Channel
A Saberi, F Farokhi, G Nair
IFAC-PapersOnLine | Published : 2018
This paper considers a binary channel which erases up to a given number of bits in each consecutive block of given length, without any statistical structure. Nonzero upper and lower bounds on the zero-error capacity of the channel are found, as well as an exact expression for its zero-error capacity with perfect feedback. The results are compared with the stochastic case, and then used to find separate necessary and sufficient conditions to be able to uniformly estimate and control the states of a linear system with bounded noise via the channel.