Journal ArticleDOI
On linear structure and phase rotation invariant properties of block M-PSK modulation codes
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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
Statistical analysis of the product high-order ambiguity function
Anna Scaglione,Sergio Barbarossa +1 more
TL;DR: A statistical analysis of the PHAF in the presence of additive white Gaussian noise (AWGN) valid for high signal-to-noise ratio (SNR) and a finite number of data samples is derived.
Journal ArticleDOI
Multilevel construction of block and trellis group codes
Roberto Garello,S. Benedetto +1 more
TL;DR: This paper studies the problem of building multilevel group codes, i.e., codes obtained combining separate coding at different levels in such a way that the resulting code is a group code.
Journal ArticleDOI
Multilevel block codes for Rayleigh-fading channels
Lin Zhang,Branka Vucetic +1 more
TL;DR: New multilevel block codes for Rayleigh-fading channels are presented and two modified forms of Reed-Muller codes are proposed giving a good trade-off between the decoder complexity and the effective code rates.
Journal ArticleDOI
Block-coded PSK modulation using two-level group codes over dihedral groups
J. Bali,B.S. Rajan +1 more
TL;DR: Using two-level group codes over D/sub M/ as label codes, the performance of a block-coded modulation scheme is discussed under all possible matched labelings of 2M-APSK and 2mPSK signal sets in terms of the minimum squared Euclidean distance.
Patent
Method for choosing coding schemes, mappings, and puncturing rates for modulations/encoding systems
TL;DR: In this article, a method for choosing the coding schemes, mappings, and puncturing rates for a modulation/demodulation system which would allow the system to compensate for certain transformations of the code in a post-Viterbi step was presented.
References
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Channel coding with multilevel/phase signals
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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.
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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.