DocumentCode :
1780402
Title :
Codeword or noise? Exact random coding exponents for slotted asynchronism
Author :
Weinberger, Nir ; Merhav, Neri
Author_Institution :
Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel
fYear :
2014
fDate :
June 29 2014-July 4 2014
Firstpage :
2509
Lastpage :
2513
Abstract :
We consider the problem of slotted asynchronous coded communication, where in each time frame (slot), the transmitter is either silent or transmits a codeword from a given (randomly selected) codebook. The task of the decoder is to decide whether transmission has taken place, and if so, to decode the message. We derive the optimum detection/decoding rule in the sense of the best trade-off among the probabilities of decoding error, false alarm, and misdetection. For this detection/decoding rule, we then derive single-letter characterizations of the exact exponential rates of these three probabilities for the average code in the ensemble. It is shown that previously suggested decoders care in general strictly sub-optimal.
Keywords :
decoding; error statistics; noise; random codes; decoding error probability; exact random coding exponent; false alarm; message decoding; optimum decoding rule; optimum detection rule; slotted asynchronous coded communication; time frame; Decoding; Detectors; Encoding; Noise; Synchronization; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
Type :
conf
DOI :
10.1109/ISIT.2014.6875286
Filename :
6875286
Link To Document :
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