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].
['Hye Won Chung', 'Lizhong Zheng', 'Brian M. Sadler', 'Alfred O. Hero']
Unequal error protection coding approaches to the noisy 20 questions problem