A dual N-ary orthogonal hybrid modulation system is introduced in this paper, which can increase the data rate greatly compared with conventional N-ary orthogonal spread spectrum system, so it can be used for high rat...A dual N-ary orthogonal hybrid modulation system is introduced in this paper, which can increase the data rate greatly compared with conventional N-ary orthogonal spread spectrum system, so it can be used for high rate data communication. Then, three code recognition algorithms are presented for dual N-ary orthogonal hybrid modulation system and the analytic bit error rate （BER） performance of the system in additive white Gaussian noise （AWGN） and fiat Rayleigh fading channel is derived. Finally, the computer simulation of the system with three code recognition algorithms is performed, which shows that the simplified maximum a posteriori （MAP） algorithm is the best for the system with a compromise between the performance and the complexity.展开更多
A t-(v,k,λ)design(X,B)is a set X of points,of cardinality v,and a collection B of k-subsets of X called blocks,with the property that every t-subset of X is contained in precisely λ blocks.A t-design is a t-(v,k,λ)...A t-(v,k,λ)design(X,B)is a set X of points,of cardinality v,and a collection B of k-subsets of X called blocks,with the property that every t-subset of X is contained in precisely λ blocks.A t-design is a t-(v,k,λ) design for some v,k,γ.In this paper,we give a generalization of t-design called balanced n-ary t-design,and obtain some properties of the new combinatorial structure.展开更多
In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of （normal） TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concep...In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of （normal） TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concept of L-fuzzy sets, the notion of ~）-lower and T-upper L-fuzzy rough approximation operators with respect to an L-fuzzy set is introduced and some related properties are presented. Then a new algebraic structure called （normal） TL-fuzzy rough n-ary polygroup is defined and investigated. Also, the （strong） homomorphism of θ-lower and T-upper L-fuzzy rough approximation operators is studied.展开更多
In this paper,we study such polyadic analog of an identity of a group asm-neutral sequence.In particular,we prove that all Post's equivalence classes of thefree covering group of any n-ary group[where n=k(m-1)+1 a...In this paper,we study such polyadic analog of an identity of a group asm-neutral sequence.In particular,we prove that all Post's equivalence classes of thefree covering group of any n-ary group[where n=k(m-1)+1 and k≥1]definedby m-neutral sequences form the(k+1)-ary group,which is isomorphic to the n-arysubgroup of all identities of the n-ary group in the case when m=2.展开更多
In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. Firs...In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. First, we define a hyperoperation × （mating） on F2 and prove that it is a cyclic Hv-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure f associated to the genotypes of F2 and prove that （F2, f） is a ternary Hv-semigroup. Finally, we define a 4-ary hyperstructure g associated to the genotypes of F2 and prove that （F2, g） is a 4-ary Hv-semigroup.展开更多
基金the National Basic Research Program of China(No5130601)Jiangsu Provincial Natural Science Foundation(NoBK2006701)
文摘A dual N-ary orthogonal hybrid modulation system is introduced in this paper, which can increase the data rate greatly compared with conventional N-ary orthogonal spread spectrum system, so it can be used for high rate data communication. Then, three code recognition algorithms are presented for dual N-ary orthogonal hybrid modulation system and the analytic bit error rate （BER） performance of the system in additive white Gaussian noise （AWGN） and fiat Rayleigh fading channel is derived. Finally, the computer simulation of the system with three code recognition algorithms is performed, which shows that the simplified maximum a posteriori （MAP） algorithm is the best for the system with a compromise between the performance and the complexity.
文摘A t-(v,k,λ)design(X,B)is a set X of points,of cardinality v,and a collection B of k-subsets of X called blocks,with the property that every t-subset of X is contained in precisely λ blocks.A t-design is a t-(v,k,λ) design for some v,k,γ.In this paper,we give a generalization of t-design called balanced n-ary t-design,and obtain some properties of the new combinatorial structure.
基金The second author is supported by National Natural Science Foundation of China （Grant Nos. 60774049, 60875034）, Natural Science Foundation of Education Committee of Hubei Province, China （Grant Nos. D20092901, Q20092907, D20082903, B200529001） and Natural Science Foundation of Hubei Province, China （Grant No. 2008CDB341）
文摘In this paper, we consider the relations among L-fuzzy sets, rough sets and n-ary polygroup theory. Some properties of （normal） TL-fuzzy n-ary subpolygroups of an n-ary polygroup are first obtained. Using the concept of L-fuzzy sets, the notion of ~）-lower and T-upper L-fuzzy rough approximation operators with respect to an L-fuzzy set is introduced and some related properties are presented. Then a new algebraic structure called （normal） TL-fuzzy rough n-ary polygroup is defined and investigated. Also, the （strong） homomorphism of θ-lower and T-upper L-fuzzy rough approximation operators is studied.
文摘In this paper,we study such polyadic analog of an identity of a group asm-neutral sequence.In particular,we prove that all Post's equivalence classes of thefree covering group of any n-ary group[where n=k(m-1)+1 and k≥1]definedby m-neutral sequences form the(k+1)-ary group,which is isomorphic to the n-arysubgroup of all identities of the n-ary group in the case when m=2.
文摘In this paper, we consider an application of hyperstructure theory in biological inher- itance in which we deal with n-ary hyperstructures associated to the genotypes of the second generation F2 for n ： 2, 3, 4. First, we define a hyperoperation × （mating） on F2 and prove that it is a cyclic Hv-semigroup under the defined hyperoperation. Then we define a ternary hyperstructure f associated to the genotypes of F2 and prove that （F2, f） is a ternary Hv-semigroup. Finally, we define a 4-ary hyperstructure g associated to the genotypes of F2 and prove that （F2, g） is a 4-ary Hv-semigroup.
