Journal ArticleDOI
On linear structure and phase rotation invariant properties of block M-PSK modulation codes
Reads0
Chats0
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
More filters
Journal ArticleDOI
Trellis-coded multidimensional phase modulation
TL;DR: A systematic approach to partitioning L*MPSK signal sets that is based on block coding is used and an encoder system approach is developed that incorporates the design of a differential precoder, a systematic convolutional encoder, and a signal set mapper.
Journal ArticleDOI
On complexity of trellis structure of linear block codes
TL;DR: An upper bound on the number of states of a minimal trellis diagram for a linear block code is derived and a cyclic code or its extended code is shown to be the worst in terms of Trellis state complexity among the linear codes of the same length and dimension.
Journal ArticleDOI
On multilevel block modulation codes
TL;DR: The multilevel technique for combining block coding and modulation is investigated, and a technique is presented for analyzing the error performance of block modulation codes for an additive white Gaussian noise channel based on soft-decision maximum likelihood decoding.
Journal ArticleDOI
Linear block codes over cyclic groups
Giuseppe Caire,Ezio Biglieri +1 more
TL;DR: The main building block for the construction of a geometrically uniform coded modulation scheme is a subgroup of G/sup I/, where G is a group generating a low-dimensional signal constellation and I is an index set, and this paper study the properties of these subgroups when G is cyclic.
Journal ArticleDOI
Multistage decoding of multilevel block M-PSK modulation codes and its performance analysis
TL;DR: The computation and simulation results for these codes show that with multistage decoding, significant coding gains can be achieved with large reduction in decoding complexity.
References
More filters
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.