Unequal error protection coding approaches to the noisy 20 questions problem

In this paper, we propose an unequal error protection coding strategy based on superposition coding for the noisy 20 questions problem. In this problem, a player wishes to successively refine an estimate of the value of a continuous random variable by posing binary queries and receiving noisy responses. When the queries are designed non-adaptively as a single block and the noisy responses are modeled as the output of a binary symmetric channel the 20 questions problem can be mapped to an equivalent problem of channel coding with unequal error protection (UEP). A superposition coding strategy with UEP is introduced that has error exponent that is significantly better than that of the UEP repetition code introduced by Variani et al. [1].