Abstract：In this paper, the properties of doubly stochastic matrices and doubly stochastic Markov chains are researched from the viewpoints of the classification of states and equilibrium distributions. These properties are applicable to the analysis and modeling of differential frequency hopping G-functions. It is proved that the doubly stochastic matrix model of G-functions is complete in terms of the state transition’s uniformity. Based on this mathematic model, a periodic grouping method is proposed to design G-functions by regarding the state transition as a periodic doubly stochastic Markov chain, and it can achieve good performance both in error-correcting and in frequency interval.
李天昀; 许漫坤; 葛临东. 相关跳频转移函数的双随机矩阵模型及其应用[J]. 电子与信息学报, 2007, 29(9): 2182-2186 .
Li Tian-yun; Xu Man-kun; Ge Lin-dong. Doubly Stochastic Matrices Model of DFH G-Function and Its Application. , 2007, 29(9): 2182-2186 .
2007, Vol. 29 
