基于特征选择的决策树方法在磷酸铝AlPO4-5定向合成中的应用

分子筛类开放骨架材料的合成与结构关系研究对实现这类材料的定向合成起着至关重要的作用. 本文在建立开放骨架磷酸铝合成反应数据库的基础上, 提出了利用基于特征选择的决策树(C5.0)方法, 考察了不同反应条件(即各反应特征参数)对磷酸铝分子筛AlPO4-5生成的影响. 基于决策树模型, 利用8个反应特征参数,可以有效预测磷酸铝分子筛AlPO4-5的生成, 准确率达到88.18%, 接收者操作特性(ROC)曲线下面积(AUC)达到90%. 研究结果表明, 在众多的反应特征参数中, 有机模板剂的几何尺寸参数, 特别是模板剂的次长距离, 是影响AlPO4-5分子筛合成的重要因素.     

Moment-based modulation classification for Rician time-varying aeronautical channels

Modulation classification is a classical topic in the field of signal classification, and is of great significance in various applications including aeronautical communications. However, changes in the features of the signals transmitted through the Rician time-varying channels deteriorate the performance of modulation classification. In this study, a robust moment-based algorithm is proposed to counter the influence of the channels. The statistical correlation of the received samples are utilized for the estimation on the Rician factor. According to the derivation of the relationship between the moments of the transmitted samples and the received samples, the features utilized for classification are compensated mathematically. Finally, decision tree and random forest classifier are presented for classification. The estimation and classification performance of the proposed algorithm are analyzed for aeronautical en-route (EN) and arrival/takeoff (AT) channels through simulations. Meanwhile, real world signals of L-band digital aeronautical communication system (L-DACS1) are utilized for verification. The results show that our algorithm has high classification accuracy and low computational complexity.     

Finitistic Dimensions of Dual Extensions of Monomial Algebras#

We use Bottomup and Topdown to study the finitistic dimensions of the dual extension of a monomial algebra.     

Constructing Minimal Projective Resolutions

Let Λ be a monomial algebra. For any Λ-module M, we describe graphically its minimal projective resolution as a weighted graph Δ(M). If M is finitely generated we give two algorithms for computing Δ(M). We also give a short computation-like argument to reprove a famous Syzygy Theorem.     

Analysis of a game of graph solitaire

Let G be a simple undirected graph. To each vertex assign one of two colours say red or blue. A solitaire game is played on G as follows. A move consists of selecting a blue vertex, inverting the colours of its neighbours and then deleting the chosen vertex and all edges incident upon it. The goal is to delete all the vertices. The question of finding a winning strategy in the case when G is a simple cycle was proposed in the problems section of the American Mathematical Monthly. In this article some general results on winning colour configurations are derived and the game is analysed for certain other graph classes.     

正则树的双变量色多项式研究

最近Klaus Dohmen等人提出新的双变量色多项式概念,对此,本文提出—个—般性的减边公式.通过反复运用该公式,可以方便求得任何简单图的双变量色多项式.由此减边公式,研究了一些特殊图和多分支图的双变量色多项式公式.本文还研究了由互不相连的多个子图都与某个顶点相连而成的图的双变量色多项式计算的删点公式以及简单图的双变量色多项式系数和问题.进而,本文提出—个新概念—正则树.利用这个减边公式,研究了正则树的双变量色多项式计算公式和—些性质,以及正则树整子图的双变量色多项式公式及其有关性质.     

Optimization of fat tree encoder for ultra high speed analog to digital converter using 45 nanometer technology

The design of high speed, compact and low power fat tree encoder circuits using static CMOS gates is presented. In this paper, we propose a modified 3 bit fat tree encoder (FTE) that can operate in high frequency without a sophisticated circuit structure. In addition, the technique of hardware sharing is adopted in this design to reduce the number of transistors. The study uses complementary metal oxide semiconductor (CMOS) 45 nm-technology. The proposed static design has improved delay and power compared to a conventional ROM encoder circuit implementation. The simulation result indicates that it functions successfully and works at 200-MHz speed. The average power consumption of the circuit under room temperature is 20.7 nW. The total core area is 0.011 mm². As expected, the proposed design can be easily integrated in various kind of digital application.