Title :
Error exponents for optimum decoding of the degraded broadcast channel using moments of type class enumerators
Author :
Kaspi, Yonatan ; Merhav, Neri
Author_Institution :
Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel
Abstract :
The analysis of random coding error exponents pertaining to optimal decoding in a degraded broadcast with degraded message sets is revisited. Instead of using Jensens inequality as well as some other inequalities in the derivation, we demonstrate that, after an initial step, an exponentially tight analysis can be carried out by assessing the relevant moments of a certain type class enumerator.
Keywords :
broadcast channels; channel coding; decoding; error statistics; random codes; Jensens inequality; degraded message set; error probability; memoryless degraded broadcast channel; optimal decoding; random coding error exponent; type class enumerator; Broadcast technology; Broadcasting; Cities and towns; Clouds; Codes; Degradation; Maximum likelihood decoding; Random variables; Transmitters;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 2008. IEEEI 2008. IEEE 25th Convention of
Conference_Location :
Eilat
Print_ISBN :
978-1-4244-2481-8
Electronic_ISBN :
978-1-4244-2482-5
DOI :
10.1109/EEEI.2008.4736640