We consider the upper bounds of the finite block length capacity Cn,FB(P ) of the discrete time Gaussian channel with feedback. We prove the refinements of relations Cn(P ) ≤ Cn,FB(P ) ≤ Cn(P ) + 1 2 and Cn(P ) ≤ Cn,FB(P ) ≤ 2Cn(P ), which are given by Cover and Pombra. And we prove the relation C2(P ) ≤ C2,FB(P ) < C2(2P ), which is a partial solution of the conjecture given by Cover.

The aims of this study were to investigate potential functional relationships among milk protein fractions in dairy cattle and carry out a structural equation model (SEM) GWAS provide decomposition total SNP effects into direct mediated by traits that are upstream phenotypic network. To achieve these aims, we first fitted mixed Bayesian multitrait genomic infer the correlations 6 nitrogen [4 ca...

Alkaline chlorination, an efficient but high chemical cost process, is commonly employed for cyanide (CN−) removal from CN-rich wastewater streams. CN− and recovery through the precipitation of Prussian Blue (Fe4III[FeII(CN)6]3, PB) or Turnbull’s (Fe3II[FeIII(CN)6]2, TB) were realized using iron salts, leading to a cost-effective sustainable process producing valuable product. However, PB TB hi...

(75) Inventors: Yan Zhu, Macau (CN); Chi-Hang OTHER PUBLICATIONS Chan, Macau (CN); U-Fat ChiO, Macau Yan Zhu, Chi-Hang Chan, U-Fat Chio, Sai-Weng Sin, Seng-Pan U, (CN); Sai-Weng Sin, Macau (CN); Rui Paulo Da Silva Martins, Franco Maloberti, “A 10-bit 100-MS/s Seng-Pan U, Macau (CN); Rui Paulo Reference-Free SAR ADC in 90nm CMOS,” IEEE Journal of Solid Da Silva Martins, Macau (CN); Franco State ...

For a sequence (cn) of complex numbers we consider the quadratic polynomials fcn(z) := z 2 + cn and the sequence (Fn) of iterates Fn := fcn ◦ · · · ◦ fc1 . The Fatou set F(cn) is by definition the set of all z ∈ Ĉ such that (Fn) is normal in some neighbourhood of z, while the complement of F(cn) is called the Julia set J(cn). The aim of this article is to study geometric properties, Lebesgue me...

We give an upper bound to the finite block length capacity of discrete time nonstationary Gaussian channel with feedback. With the aid of minimization of a quadratic form, it is proved that the feedback capacity Cn,FB(P ) and the nonfeedback capacity Cn(P ) satisfies Cn(P ) ≤ Cn,FB(P ) ≤ Cn(P∗), where P∗ is concretely given.