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
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
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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
A concatenated coded modulation scheme for error control
TL;DR: In this article, a concatenated coded modulation scheme is presented for error control in data communications, which is achieved by concatenating a Reed-Solomon outer code and a bandwidth efficient block inner code for M-ary phase-shift keying modulation.