27 citations · 72 across the 39 of their papers we have counts for
39 papers
A Gröbner Basis Approach to Combinatorial Nullstellensatz
Yang Xu, Haibin Kan, Guangyue Han
In this paper, using some conditions that arise naturally in Alon's combinatorial Nullstellensatz as well as its various extensions and generalizations, we characterize Gröbner bas…
Feedback Capacity of the Continuous-Time ARMA(1,1) Gaussian Channel
Jun Su, Guangyue Han, Shlomo Shamai
We consider the continuous-time ARMA(1,1) Gaussian channel and derive its feedback capacity in closed form. More specifically, the channel is given by $\boldsymbol{y}(t) =\boldsymb…
Markov Capacity for Factor Codes with an Unambiguous Symbol
Guangyue Han, Brian Marcus, Chengyu Wu
In this paper, we first give a necessary and sufficient condition for a factor code with an unambiguous symbol to admit a subshift of finite type restricted to which it is one-to-o…
Renyi Entropy Rate of Stationary Ergodic Processes
Chengyu Wu, Yonglong Li, Li Xu +1
In this paper, we examine the Renyi entropy rate of stationary ergodic processes. For a special class of stationary ergodic processes, we prove that the Renyi entropy rate always e…
Isometries and MacWilliams Extension Property for Weighted Poset Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the cartesian product of a family of left modules over a ring , indexed by a finite set . We are concerned with the -weight on $\mathbf{H}…
Reflexivity of Partitions Induced by Weighted Poset Metric and Combinatorial Metric
Yang Xu, Haibin Kan, Guangyue Han
Let be the Cartesian product of a family of finite abelian groups. Via a polynomial approach, we give sufficient conditions for a partition of induced by…