Block-coded modulation using two-level group codes over generalized quaternion groups
نویسندگان
چکیده
منابع مشابه
Block Coded Modulation Using Two-Level Group Codes Over Generalized Quaternion Groups
This paper deals with Euclidean space codes obtained from two-level group codes of length n over a Generalized Quaternion Group Q,, m23, with 2"' elements, with generators x and y, given by the presentation Q,,,= using a matched labelling of a 4-dimensional signal set with 2" elements with Q,. I. TWO LEVEL GROUP CODES OVER e,. Four dimensional signal sets in conne...
متن کاملBlock-Coded Modulation Using Two-Level Group Codes Over Generalized Quaternion Groups
A length n group code over a group G is a subgroup of G under component-wise group operation. Two-level group codes over the class of generalized quaternion groups, Q2m, TM > 3, are constructed using a binary code and a code over Z2m-i, the ring of integers modulo 2 , as component codes and a mapping / from Z2 X Z2m_i to Q2m. A set of necessary and sufficient conditions on the component codes i...
متن کاملBlock-Coded Modulation Using Two-Level Group Codes Over Generalized Quaternion Groups - Information Theory, IEEE Transactions on
A length n group code over a group G is a subgroup of G under component-wise group operation. Two-level group codes over the class of generalized quaternion groups, Q2 ; m 3, are constructed using a binary code and a code over Z 2 , the ring of integers modulo 2 m , as component codes and a mapping f from Z2 Z2 to Q2 . A set of necessary and sufficient conditions on the component codes is deriv...
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A length n group code over a group G is a subgroup of G under component-wise group operation. Group codes over dihedral groups DM , with 2M elements, that are two-level constructible using a binary code and a code over ZM residue class integer ring modulo M , as component codes are studied for arbitrary M . A set of necessary and sufficient conditions on the component codes for the two-level co...
متن کاملOn block-coded modulation using unequal error protection codes over Rayleigh-fading channels
This letter considers block-coded 8-phase-shiftkeying (PSK) modulations for the unequal error protection (UEP) of information transmitted over Rayleigh-fading channels. Both conventional linear block codes and linear UEP (LUEP) codes are combined with a naturally labeled 8-PSK signal set, using the multilevel construction of Imai and Hirakawa [1]. Computer simulation results are presented showi...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1999
ISSN: 0018-9448
DOI: 10.1109/18.746847