Journal ArticleDOI
On linear structure and phase rotation invariant properties of block M-PSK modulation codes
TLDR
Two important structural properties of block M(=2/sup '/)-ary PSK modulation codes, linear structure and phase symmetry, are investigated.Abstract:
Two important structural properties of block M(=2/sup '/)-ary PSK modulation codes, linear structure and phase symmetry, are investigated. An M-ary modulation code is first represented as a code with symbols from the integer group S/sub M-PSK/=(0,1,2,---,M-1) under modulo-M addition. Then the linear structure of block M-PSK modulation codes over S/sub M-PSK/ with respect to modulo-M vector addition is defined, and conditions are derived under which a block M-PSK modulation code is linear. Once the linear structure is developed, the phase symmetry of block M-PSK modulation codes is studied. In particular, a necessary and sufficient condition for a block M-PSK modulation code that is linear as a binary code to be invariant under 2/sup h/180 degrees /M phase rotation, for 1 >read more
Citations
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Journal ArticleDOI
Algebraic construction of cyclic codes over Z/sub 8/ with a good Euclidean minimum distance
TL;DR: Let S(8) denote the set of the eight admissible signals of an 8PSK communication system and three cyclic codes over Z/sub 8/ are constructed, which contain 64, 64, and 512 codewords.
Journal ArticleDOI
Multidimensional trellis coded phase modulation using a multilevel concatenation approach. I. Code design
S. Rajpal,D.J. Rhee,S. Lin +2 more
TL;DR: A simple and systematic technique for constructing multidimensional M-ary phase shift keying (MPSK) trellis coded modulation (TCM) codes and a multistage decoding scheme for these codes is proposed.
Book ChapterDOI
Low-complexity and high-performance multilevel coded modulation for the AWGN and Rayleigh fading channels
TL;DR: The multilevel coding method is a powerful technique for constructing bandwidth efficient modulation codes systematically with arbitrarily large distance parameters from Hamming distance component codes in conjunction with proper bitsto-signal mapping through signal-set partitioning.
Proceedings ArticleDOI
Suboptimum multistage decoding of multilevel block codes
TL;DR: This paper proposes a new method for multistage decoding of multilevel block codes that achieves better error performance than conventional multistages at expense of higher decoding complexity.
Multi-stage decoding for multi-level block modulation codes
TL;DR: The difference in performance between the suboptimum multi-stage soft-decision maximum likelihood decoding of a modulation code and the single-stage optimum decoding of the overall code is very small: only a fraction of dB loss in SNR at the probability of an incorrect decoding for a block of 10(exp -6).
References
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Journal ArticleDOI
Channel coding with multilevel/phase signals
TL;DR: A coding technique is described which improves error performance of synchronous data links without sacrificing data rate or requiring more bandwidth by channel coding with expanded sets of multilevel/phase signals in a manner which increases free Euclidean distance.
Journal ArticleDOI
A new multilevel coding method using error-correcting codes
Hideki Imai,S. Hirakawa +1 more
TL;DR: A new multilevel coding method that uses several error-correcting codes that makes effective use of soft-decisions to improve the performance of decoding and is superior to other multileVEL coding systems.
Journal ArticleDOI
Trellis-coded modulation with redundant signal sets Part I: Introduction
TL;DR: An introduction into TCM is given, reasons for the development of TCM are reviewed, and examples of simple TCM schemes are discussed.
Journal ArticleDOI
Coset codes. II. Binary lattices and related codes
TL;DR: The family of Barnes-Wall lattices and their principal sublattices, which are useful in constructing coset codes, are generated by iteration of a simple construction called the squaring construction, and are represented by trellis diagrams that display their structure and interrelationships and that lead to efficient maximum-likelihood decoding algorithms.
Coset Codes-Part 11: Binary Lattices and Related Codes
TL;DR: The family of Barnes-Wall lattices and their principal sublattices, which are useful in con- structing coset codes, are generated by iteration of a simple construction called the "squaring construction," and the closely related Reed-Muller codes are generate by the same construction.