Let Y={Y_n;n∈N^2} be a stationary linear random field generated by a two- dimensional martingale difference. Where N^2 denotes the two dimensional integer lattice. The main purpose of this paper is to obtain the LIL ...Let Y={Y_n;n∈N^2} be a stationary linear random field generated by a two- dimensional martingale difference. Where N^2 denotes the two dimensional integer lattice. The main purpose of this paper is to obtain the LIL convergence for the partial-sums of Y.展开更多
In this paper we establish asymptotic results and a generalized uniform law of the iterated logarithm （LIL） for the increments of a strictly stationary random process, whose results are proved by separating linearly...In this paper we establish asymptotic results and a generalized uniform law of the iterated logarithm （LIL） for the increments of a strictly stationary random process, whose results are proved by separating linearly positive quadrant dependent （LPQD） random process and linearly negative quadrant dependent （LNQD） one, respectively.展开更多
Let {ξ<SUB> j </SUB>; j ∈ ℤ<SUB>+</SUB><SUP> d </SUP>be a centered stationary Gaussian random field, where ℤ<SUB>+</SUB><SUP>...Let {ξ<SUB> j </SUB>; j ∈ ℤ<SUB>+</SUB><SUP> d </SUP>be a centered stationary Gaussian random field, where ℤ<SUB>+</SUB><SUP> d </SUP>is the d-dimensional lattice of all points in d-dimensional Euclidean space ℝ<SUP>d</SUP>, having nonnegative integer coordinates. For each j = (j <SUB>1 </SUB>, ..., jd) in ℤ<SUB>+</SUB><SUP> d </SUP>, we denote |j| = j <SUB>1 </SUB>... j <SUB>d </SUB>and for m, n ∈ ℤ<SUB>+</SUB><SUP> d </SUP>, define S(m, n] = Σ<SUB> m【j≤n </SUB>ζ<SUB> j </SUB>, σ<SUP>2</SUP>(|n−m|) = ES <SUP>2 </SUP>(m, n], S <SUB>n </SUB>= S(0, n] and S <SUB>0 </SUB>= 0. Assume that σ(|n|) can be extended to a continuous function σ(t) of t 】 0, which is nondecreasing and regularly varying with exponent α at b ≥ 0 for some 0 【 α 【 1. Under some additional conditions, we study limsup results for increments of partial sum processes and prove as well the law of the iterated logarithm for such partial sum processes.展开更多
In this paper, we have formulated a strategy that the limited available codesequences in pure Direct-Sequence (DS) or Frequency-Hopping (FH) system can be reused to realizedense optical CDMA: the strategy of novel hyb...In this paper, we have formulated a strategy that the limited available codesequences in pure Direct-Sequence (DS) or Frequency-Hopping (FH) system can be reused to realizedense optical CDMA: the strategy of novel hybrid DS/FH system. In which, the case that there are nusers employing the same FH pattern but different DS code patterns is considered. On the conditionthat the impact of channel noises is neglected, the upper bound probability of error is evaluatedbased on the stationary random process theory. The results shout that the hybrid system is suitablefor Dense Optical CDMA (DOCDMA) communication. Moreover, the problems such as the link-impairment,dispersion of group velocity, etc. in the pure (DS or FH) system can be solved effectively.展开更多
文摘Let Y={Y_n;n∈N^2} be a stationary linear random field generated by a two- dimensional martingale difference. Where N^2 denotes the two dimensional integer lattice. The main purpose of this paper is to obtain the LIL convergence for the partial-sums of Y.
文摘In this paper we establish asymptotic results and a generalized uniform law of the iterated logarithm （LIL） for the increments of a strictly stationary random process, whose results are proved by separating linearly positive quadrant dependent （LPQD） random process and linearly negative quadrant dependent （LNQD） one, respectively.
基金NSERC Canada grants of Miklos Csorgo and Barbara Szyszkowicz at Carleton University,Ottawa,and by KRF-2003-C00098NSERC Canada grants at Carleton University,Ottawa
文摘Let {ξ<SUB> j </SUB>; j ∈ ℤ<SUB>+</SUB><SUP> d </SUP>be a centered stationary Gaussian random field, where ℤ<SUB>+</SUB><SUP> d </SUP>is the d-dimensional lattice of all points in d-dimensional Euclidean space ℝ<SUP>d</SUP>, having nonnegative integer coordinates. For each j = (j <SUB>1 </SUB>, ..., jd) in ℤ<SUB>+</SUB><SUP> d </SUP>, we denote |j| = j <SUB>1 </SUB>... j <SUB>d </SUB>and for m, n ∈ ℤ<SUB>+</SUB><SUP> d </SUP>, define S(m, n] = Σ<SUB> m【j≤n </SUB>ζ<SUB> j </SUB>, σ<SUP>2</SUP>(|n−m|) = ES <SUP>2 </SUP>(m, n], S <SUB>n </SUB>= S(0, n] and S <SUB>0 </SUB>= 0. Assume that σ(|n|) can be extended to a continuous function σ(t) of t 】 0, which is nondecreasing and regularly varying with exponent α at b ≥ 0 for some 0 【 α 【 1. Under some additional conditions, we study limsup results for increments of partial sum processes and prove as well the law of the iterated logarithm for such partial sum processes.
文摘In this paper, we have formulated a strategy that the limited available codesequences in pure Direct-Sequence (DS) or Frequency-Hopping (FH) system can be reused to realizedense optical CDMA: the strategy of novel hybrid DS/FH system. In which, the case that there are nusers employing the same FH pattern but different DS code patterns is considered. On the conditionthat the impact of channel noises is neglected, the upper bound probability of error is evaluatedbased on the stationary random process theory. The results shout that the hybrid system is suitablefor Dense Optical CDMA (DOCDMA) communication. Moreover, the problems such as the link-impairment,dispersion of group velocity, etc. in the pure (DS or FH) system can be solved effectively.
