Trellis-coded multidimensional phase modulation
- 1 January 1990
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 36 (1) , 63-89
- https://doi.org/10.1109/18.50375
Abstract
An upper bound on the bit-error probability (BEP) of a linear cyclic code over GF(2l) with hard-decision (HD) maximum-likelihood (ML) decoding on memoryless symmetric channels is derived. Performance results are presented for Reed-Solomon codes on GF(32), GF(64), and GF(128). Also, a union upper bound on the BEP of a linear cyclic code with either hard- or soft-decision ML decoding is developed, as well as the corresponding bounds for the extended code of a linear cyclic code. Using these bounds, which are tight at low bit error rate, the performance advantage of soft-decision (SD) ML and HD ML over bounded-distance (BD) decoding is establisheKeywords
This publication has 25 references indexed in Scilit:
- On multilevel block modulation codesIEEE Transactions on Information Theory, 1991
- Block coset codes for M-ary phase shift keyingIEEE Journal on Selected Areas in Communications, 1989
- Wide-band digital subscriber access with multidimensional block modulation and decision-feedback equalizationIEEE Journal on Selected Areas in Communications, 1989
- High rate concatenated coding systems using multidimensional bandwidth-efficient trellis inner codesIEEE Transactions on Communications, 1989
- Coset codes. I. Introduction and geometrical classificationIEEE Transactions on Information Theory, 1988
- Coset codes. II. Binary lattices and related codesIEEE Transactions on Information Theory, 1988
- New trellis codes based on lattices and cosetsIEEE Transactions on Information Theory, 1987
- A Class of Optimum Block Codes in Signal SpaceIEEE Transactions on Communications, 1986
- Error control codes for QAM signallingElectronics Letters, 1984
- A new multilevel coding method using error-correcting codesIEEE Transactions on Information Theory, 1977