Let {X（t）, t ≥ 0} be a standard（zero-mean, unit-variance） stationary Gaussian process with correlation function r（·） and continuous sample paths. In this paper, we consider the maxima M（T） = max{X（t）, ...Let {X（t）, t ≥ 0} be a standard（zero-mean, unit-variance） stationary Gaussian process with correlation function r（·） and continuous sample paths. In this paper, we consider the maxima M（T） = max{X（t）, t∈ [0, T ]} with random index TT, where TT /T converges to a non-degenerate distribution or to a positive random variable in probability, and show that the limit distribution of M（TT） exists under some additional conditions related to the correlation function r（·）.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
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
基金Supported by National Science Foundation of China(Grant No.11326175)Research Start-up Foundation of Jiaxing University(Grant No.70512021)
文摘Let {X（t）, t ≥ 0} be a standard（zero-mean, unit-variance） stationary Gaussian process with correlation function r（·） and continuous sample paths. In this paper, we consider the maxima M（T） = max{X（t）, t∈ [0, T ]} with random index TT, where TT /T converges to a non-degenerate distribution or to a positive random variable in probability, and show that the limit distribution of M（TT） exists under some additional conditions related to the correlation function r（·）.
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.
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.
