Universal decoding with an erasure option

Motivated by applications of rateless coding, decision feedback, and automatic repeat request (ARQ), we study the problem of universal decoding for unknown channels in the presence of an erasure option. Specifically, we harness the competitive minimax methodology developed in earlier studies, in order to derive a universal version of Forney's classical erasure/list decoder, which in the erasure case, optimally trades off between the probability of erasure and the probability of undetected error. The proposed universal erasure decoder guarantees universal achievability of a certain fraction of the optimum error exponents of these probabilities (in a sense to be made precise in the sequel). A single

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Neri Merhav, Meir Feder
• Keywords: CORR 2006, Education, Erasure, Universal, Universal Erasure Decoder