TY - GEN
T1 - Capacity and error exponent analysis of multilevel coding with multistage decoding
AU - Ingber, Amir
AU - Feder, Meir
N1 - Funding Information:
Most of the work reported in this paper has been funded by the European Commission Framework 6 Priority 1.4 Aeronautics and Space Programme "4D Virtual Airspace Management System" Contract No. 012328. We would also like to acknowledge the efforts of our colleagues on the project from NEXT Ingegneria dei Sistemi SpA, ENAV SpA, Digital Video SpA, and Space Applications, Belgium, in this work.
PY - 2009
Y1 - 2009
N2 - The capacity and random coding error exponent of multilevel coding (MLC) with multistage decoding (MSD) are analyzed. General discrete memoryless channels with arbitrary input distributions are considered. The capacities of MLC with maximum likelihood decoding and with MSD are calculated, and it is shown that using MLC may result in loss in the achievable rate for reliable communication. Necessary and sufficient conditions for the rate loss to be zero are derived. A new random coding error exponent is derived for MLC with MSD. For the special case of uniform inputs, the new error exponent can be easily calculated by its inverse function, which is given by the sum of the inverse error exponents of the conditional su b-channels.
AB - The capacity and random coding error exponent of multilevel coding (MLC) with multistage decoding (MSD) are analyzed. General discrete memoryless channels with arbitrary input distributions are considered. The capacities of MLC with maximum likelihood decoding and with MSD are calculated, and it is shown that using MLC may result in loss in the achievable rate for reliable communication. Necessary and sufficient conditions for the rate loss to be zero are derived. A new random coding error exponent is derived for MLC with MSD. For the special case of uniform inputs, the new error exponent can be easily calculated by its inverse function, which is given by the sum of the inverse error exponents of the conditional su b-channels.
UR - http://www.scopus.com/inward/record.url?scp=70449473959&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2009.5205311
DO - 10.1109/ISIT.2009.5205311
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AN - SCOPUS:70449473959
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1799
EP - 1803
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -