TY - GEN
T1 - Codeword or noise? Exact random coding exponents for slotted asynchronism
AU - Weinberger, Nir
AU - Merhav, Neri
PY - 2014
Y1 - 2014
N2 - We consider the problem of slotted asynchronous ccoded communication, where in each time frame (slot), the ctransmitter is either silent or transmits a codeword from a given c(randomly selected) codebook. The task of the decoder is to decide cwhether transmission has taken place, and if so, to decode the cmessage. We derive the optimum detection/decoding rule in the csense of the best trade-off among the probabilities of decoding cerror, false alarm, and misdetection. For this detection/decoding crule, we then derive single-letter characterizations of the exact cexponential rates of these three probabilities for the average code cin the ensemble. It is shown that previously suggested decoders care in general strictly sub-optimal.
AB - We consider the problem of slotted asynchronous ccoded communication, where in each time frame (slot), the ctransmitter is either silent or transmits a codeword from a given c(randomly selected) codebook. The task of the decoder is to decide cwhether transmission has taken place, and if so, to decode the cmessage. We derive the optimum detection/decoding rule in the csense of the best trade-off among the probabilities of decoding cerror, false alarm, and misdetection. For this detection/decoding crule, we then derive single-letter characterizations of the exact cexponential rates of these three probabilities for the average code cin the ensemble. It is shown that previously suggested decoders care in general strictly sub-optimal.
UR - http://www.scopus.com/inward/record.url?scp=84906542515&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2014.6875286
DO - 10.1109/ISIT.2014.6875286
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AN - SCOPUS:84906542515
SN - 9781479951864
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2509
EP - 2513
BT - 2014 IEEE International Symposium on Information Theory, ISIT 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE International Symposium on Information Theory, ISIT 2014
Y2 - 29 June 2014 through 4 July 2014
ER -