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Automated Detection of Assets and Calculation of their Criticality for the Analysis of Information System Security 面向信息系统安全分析的资产自动检测及其临界性计算
Q3 Mathematics Pub Date : 2019-09-19 DOI: 10.15622/sp.2019.18.5.1182-1211
E. Doynikova, A. Fedorchenko, Igor Kotenko
The research aims to develop the technique for an automated detection of information system assets and comparative assessment of their criticality for farther security analysis of the target infrastructure. The assets are all information and technology objects of the target infrastructure. The size, heterogeneity, complexity of interconnections, distribution and constant modification of the modern information systems complicate this task. An automated and adaptive determination of information and technology assets and connections between them based on the determination of the static and dynamic objects of the initially uncertain infrastructure is rather challenging problem. The paper proposes dynamic model of connections between objects of the target infrastructure and the technique for its building based on the event correlation approach. The developed technique is based on the statistical analysis of the empirical data on the system events. The technique allows determining main types of analysed infrastructure, their characteristics and hierarchy. The hierarchy is constructed considering the frequency of objects use, and as the result represents their relative criticality for the system operation. For the listed goals the indexes are introduced that determine belonging of properties to the same type, joint use of the properties, as well as dynamic indexes that characterize the variability of properties relative to each other. The resulting model is used for the initial comparative assessment of criticality for the system objects. The paper describes the input data, the developed models and proposed technique for the assets detection and comparison of their criticality. The experiments that demonstrate an application of the developed technique on the example of analyzing security logs of Windows operating system are provided.
该研究旨在开发一种自动检测信息系统资产的技术,并对其重要性进行比较评估,以进一步对目标基础设施进行安全分析。资产是目标基础设施的所有信息和技术对象。现代信息系统的规模、异质性、相互联系的复杂性、分布和不断修改使这项任务复杂化。在确定最初不确定的基础设施的静态和动态对象的基础上,对信息和技术资产及其之间的连接进行自动化和自适应的确定是一个相当具有挑战性的问题。提出了基于事件关联方法的目标基础设施对象间连接的动态模型及其构建技术。所开发的技术是基于对系统事件经验数据的统计分析。该技术允许确定所分析的基础设施的主要类型、特征和层次结构。层次结构是考虑对象使用的频率而构建的,其结果表示它们对系统运行的相对临界性。对于列出的目标,引入了确定属性属于同一类型的指标、属性的联合使用以及表征属性相对于其他属性的可变性的动态指标。所得到的模型用于对系统对象的临界性进行初步比较评估。本文介绍了资产检测的输入数据、开发的模型和提出的技术,并对资产的临界性进行了比较。最后以Windows操作系统的安全日志分析为例,进行了实验验证。
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引用次数: 2
Accurate and Boundary Estimate of Communication Network Connectivity Probability Based on Model State Complete Enumeration Method 基于模型状态完全枚举法的通信网络连通概率精确边界估计
Q3 Mathematics Pub Date : 2019-09-19 DOI: 10.15622/sp.2019.18.5.1093-1118
K. Batenkov
We consider one of communication network structure analysis and synthesis methods, based on the simplest approach to connectivity probability calculation – a method of full network typical state search. In this case, the typical states of the network are understood as the events of network graph connectivity and disconnection, which are simple graph chains and sections. Despite significant drawback of typical state enumeration method, which involves significant calculation complexity, it is quite popular at stage of debugging new analysis methods. In addition, on its basis it is possible to obtain boundary estimates of network connectivity probability. Thus, when calculating Asari–Proshana boundaries use full set of incoherent (top) and cohesive (bottom) communication network states. These boundaries are based on statement that network connectivity probability under same conditions is higher (lower) than that of network composed of independent disjoint (connected) subgraph complete set serial (parallel) connection. When calculating Litvak–Ushakov boundaries, only edge-disjoint sections (for upper) and connected subgraphs (for lower) are used, i.e. subsets of elements such that any element does not meet two-rods. This boundary takes into account the well-known natural monotonicity property, which is to reduce (increase) network reliability with decrease (increase) any element reliability. From a computational view point Asari–Proshana boundaries have huge drawback: they require references of all connected subgraphs to compute upper bounds and all minimal cuts for bottom, which in itself is non-trivial. Litvak–Ushakov boundaries are devoid of these drawback: by calculating them, we can stop at any searching step for variants of sets of independent connected and disconnected graph states.
基于最简单的连通性概率计算方法——全网络典型状态搜索方法,研究了通信网络结构分析与综合方法之一。在这种情况下,网络的典型状态被理解为网络图连接和断开的事件,它们是简单的图链和图段。尽管典型的状态枚举法存在计算复杂度大的缺点,但在新分析方法的调试阶段,它还是受到了广泛的欢迎。此外,在此基础上可以得到网络连通概率的边界估计。因此,在计算Asari-Proshana边界时,使用完整的不连贯(顶部)和内聚(底部)通信网络状态集。这些边界是基于相同条件下网络连通概率高于(低于)独立不相交(连通)子图完备集串联(并行)连接构成的网络。当计算Litvak-Ushakov边界时,只使用边缘不相交的部分(用于上)和连接的子图(用于下),即任何元素不满足两杆的元素子集。该边界考虑了众所周知的自然单调性,即随着任意元素可靠性的降低(增加)而降低(增加)网络可靠性。从计算的角度来看,Asari-Proshana边界有很大的缺点:它们需要引用所有连接的子图来计算上界,并且需要引用所有最小切来计算底,这本身就是不平凡的。Litvak-Ushakov边界没有这些缺点:通过计算它们,我们可以在任何搜索步骤中停止寻找独立连接和断开的图状态集的变体。
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引用次数: 3
Statistical Stability Analysis of Stationary Markov Models 平稳马尔可夫模型的统计稳定性分析
Q3 Mathematics Pub Date : 2019-09-19 DOI: 10.15622/sp.2019.18.5.1119-1148
Julia Doronina, A. Skatkov
An approach is proposed to assess the quality of stationary Markov models without absorbing states on the basis of a measure of statistical stability: the description is formulated and its properties are determined. It is shown that the estimates of statistical stability of models were raised by different authors, either as a methodological aspect of the model quality, or within the framework of other model properties. When solving practical problems of simulation, for example, based on Markov models, there is a pronounced problem of ensuring the dimension of the required samples. On the basis of the introduced formulations, a constructive approach to solving the problems of sample size optimization and statistical volatility analysis of the Markov model to the emerging anomalies with restrictions on the accuracy of the results is proposed, which ensures the required reliability and the exclusion of non-functional redundancy. To analyze the type of transitions in the transition matrix, a measure of its divergence (normalized and centered) is introduced. This measure does not have the completeness of the description and is used as an illustrative characteristic of the models of a certain property. The estimation of the divergence of transition matrices can be useful in the study of models with high sensitivity of detection of the studied properties of objects. The key stages of the approach associated with the study of quasi-homogeneous models are formulated. Quantitative estimates of statistical stability and statistical volatility of the model are proposed on the example of modeling a real technical object with failures, recovery and prevention. The effectiveness of the proposed approaches in solving the problem of statistical stability analysis in the problems of qualimetric analysis of quasi-homogeneous models of complex systems is shown. On the basis of the offered constructive approach the operational tool of decision-making on parametric and functional adjustment of difficult technical objects on long-term and short-term prospects is received.
提出了一种基于统计稳定性度量来评估无吸收状态的平稳马尔可夫模型的质量的方法:给出了描述并确定了其性质。结果表明,模型的统计稳定性的估计是由不同的作者提出的,无论是作为模型质量的方法学方面,还是在其他模型属性的框架内。在解决模拟的实际问题时,例如,基于马尔可夫模型,有一个明显的问题是确保所需样本的维度。在引入的公式的基础上,提出了一种建设性的方法来解决马尔可夫模型的样本容量优化和统计波动分析问题,以限制结果的准确性,以确保所需的可靠性和排除非功能冗余。为了分析转移矩阵中的转移类型,引入了转移矩阵散度(归一化和中心化)的度量。这种度量不具有描述的完整性,并被用作某一属性的模型的说明性特征。转移矩阵散度的估计可以用于对所研究对象的性质具有高灵敏度的模型的研究。该方法的关键阶段与准齐次模型的研究有关。以一个具有故障、恢复和预防的实际技术对象为例,对模型的统计稳定性和统计波动率进行了定量估计。本文所提出的方法在解决复杂系统准齐次模型定性分析问题中的统计稳定性分析问题方面是有效的。在提出的建设性方法的基础上,收到了关于长期和短期前景的困难技术对象的参数和功能调整的决策操作工具。
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引用次数: 3
Comparison of Objects’ Images based on Computational Topology Methods 基于计算拓扑方法的物体图像比较
Q3 Mathematics Pub Date : 2019-09-19 DOI: 10.15622/sp.2019.18.5.1043-1065
S. Chukanov
The paper considers methods for comparison of objects’ images represented by sets of points using computational topology methods. The algorithms for construction of sets of real barcodes for comparison of objects’ images are proposed. The determination of barcodes of object forms allows us to study continuous and discrete structures, making it useful in computational topology. A distinctive feature of the use of the proposed comparison methods versus the methods of algebraic topology is obtaining more information about objects’ form. An important area of application of real-valued barcodes is studying invariants of big data. Proposed method combines the technology of barcodes construction with embedded non-geometrical information (color, time of formation, pen pressure), represented as functions of simplicial complexes. To do this, barcodes are expanded with functions from simplexes to represent heterogeneous information. The proposed structure of extended barcodes increases the effectiveness of persistent homology methods when comparing images and pattern recognition. A modification of the Wasserstein method is proposed for finding the distance between images by introducing non-geometric information about the distances between images, due to inequalities of the functions of the source and terminal images of the corresponding simplexes. The geometric characteristics of an object can change with diffeomorphic deformations; the proposed algorithms for the formation of expanded image barcodes are invariant to rotation and translation transformations. We considered a method for determining the distance between sets of points representing the curves, taking into account an orientation of curves’ segments. The article is intended for a reader who is familiar with basic concepts of algebraic and computational topology, the theory of Lie groups, and diffeomorphic transformations.
本文研究了用计算拓扑方法对点集表示的物体图像进行比较的方法。提出了用于物体图像比较的真实条码集的构造算法。物体形状的条形码的确定使我们能够研究连续和离散结构,使其在计算拓扑中很有用。与代数拓扑方法相比,使用所提出的比较方法的一个显著特征是获得更多关于对象形式的信息。实值条形码的一个重要应用领域是研究大数据的不变量。该方法将条形码构建技术与嵌入的非几何信息(颜色、形成时间、笔压)结合起来,以简单复合体的函数表示。为了做到这一点,条形码被从简单函数扩展到表示异构信息。所提出的扩展条形码结构增加了持久同源方法在比较图像和模式识别时的有效性。由于相应简单体的源图像和终端图像的函数不相等,提出了一种改进的Wasserstein方法,通过引入关于图像之间距离的非几何信息来查找图像之间的距离。物体的几何特征可以随微分变形而改变;本文提出的扩展图像条形码生成算法对旋转和平移变换具有不变性。我们考虑了一种方法来确定代表曲线的点集之间的距离,同时考虑到曲线段的方向。本文的目标读者是熟悉代数和计算拓扑的基本概念、李群理论和微分同构变换。
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引用次数: 5
Technique of Informative Features Selection in Geoacoustic Emission Signals 地声发射信号信息特征选择技术
Q3 Mathematics Pub Date : 2019-09-19 DOI: 10.15622/sp.2019.18.5.1066-1092
Y. Senkevich, Y. Marapulets, O. Lukovenkova, A. Solodchuk
Studies of geoacoustic emission in a seismically active region in Kamchatka show that geoacoustic signals produce pronounced pulse anomalies during the earthquake preparation and post-seismic relaxation of the local stresses field at the observation point. The qualitative selection of such anomalies is complicated by a strong distortion and weakening of the signal amplitude. A review of existing acoustic emission analysis methods shows that most often researchers turn to the analysis of more accessible to study statistical properties and energy of signals. The distinctive features of the approach proposed by the authors are the extraction of informative features based on the analysis of time and frequency-time structures of geoacoustic signals and the description of various forms of recognizable pulses by a limited pattern set. This study opens up new ideas to develop methods for detecting anomalous behavior of geoacoustic signals, including anomalies before earthquakes. The paper describes a technique of information extraction from geoacoustic emission pulse streams of sound frequency range. A geoacoustic pulse mathematical model, reflecting the signal generation process from a variety of elementary sources, is presented. A solution to the problem of detection of geoacoustic signal informative features is presented by the means of description of signal fragments by the matrixes of local extrema amplitude ratios and of interval ratios between them. The result of applying the developed algorithm to describe automatically the structure of the detected pulses and to form a pattern set is shown. The patterns characterize the features of geoacoustic emission signals observed at IKIR FEB RAS field stations. A technique of reduction of the detected pulse set dimensions is presented. It allows us to find patterns similar in structure. A solution to the problem of processing of a large data flow by unifying pulses description and their systematization is proposed. A method to identify a geoacoustic emission pulse model using sparse approximation schemes is suggested. An algorithmic solution of the problem of reducing the computational complexity of the matching pursuit method is described. It is to include an iterative refinement algorithm for the solution at each step in the method. The results of the research allowed the authors to create a tool to investigate the dynamic properties of geoacoustic emission signal in order to develop earthquake prediction detectors.
对堪察加地震活跃区地声发射的研究表明,地声信号在地震准备过程中产生明显的脉冲异常,并在地震后引起观测点局部应力场的松弛。这种异常的定性选择由于信号幅度的强烈失真和减弱而变得复杂。对现有声发射分析方法的回顾表明,研究人员往往转向更容易研究信号的统计性质和能量的分析。该方法的特点是通过分析地声信号的时间和频率-时间结构提取信息特征,并通过有限模式集描述各种形式的可识别脉冲。本研究为开发探测包括地震前异常在内的地声信号异常行为的方法开辟了新的思路。本文介绍了一种从声发射脉冲流中提取信息的方法。提出了一个反映各种基本源信号产生过程的地声脉冲数学模型。提出了用局部极值幅度比矩阵和区间比矩阵描述信号片段的方法,解决了地声信号信息特征的检测问题。最后给出了应用该算法自动描述被测脉冲的结构并形成模式集的结果。这些模式描述了ikiir FEB - RAS野外台站观测到的地声发射信号的特征。提出了一种减小被检测脉冲集尺寸的方法。它能让我们找到结构相似的模式。提出了一种统一脉冲描述及其系统化的方法来解决大数据流处理问题。提出了一种利用稀疏逼近方法识别地声发射脉冲模型的方法。描述了降低匹配追踪方法计算复杂度问题的算法解决方案。它是在方法的每一步都包含一个解的迭代细化算法。研究结果使作者能够创建一个工具来研究地声发射信号的动态特性,从而开发地震预测探测器。
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引用次数: 2
Parametric Optimization of Packet Transmission with Resending Packets Mechanism 基于重发包机制的分组传输参数优化
Q3 Mathematics Pub Date : 2019-07-31 DOI: 10.15622/SP.2019.18.4.809-830
N. Kuznetsov, K. Semenikhin
The data transmission process is modelled by a Markov closed queuing network, which consists of two stations. The primary station describes the process of sending packets over a lossy channel by means of a finite and single-channel queue. The auxiliary station, being a multichannel queuing system, accumulates packets lost by the primary station and forwards them back for retrial. The transmission rate at the primary station and the retrial rate at the auxiliary station are in the specified ranges and are subject to optimization in order to minimize the time of successful delivery and the amount of network resources used. The explicit expressions for these characteristics are derived in the steady-state mode in order to formulate the problem of bi-criterion optimization. The optimal policies are established in two scenarios: the first problem is to minimize the average time of successful transmission with limited resources; the second problem is to minimize the consumption of network resources under the constraint on the time for successful transmission. The set of Pareto-optimal policies is obtained by solving the problem of minimization of the augmented functional. The quality characteristics of approximate solutions that do not take into account the service rate in the auxiliary system are analyzed.
数据传输过程采用马尔可夫封闭排队网络建模,该网络由两个站点组成。主站描述了通过有限的单通道队列在有损通道上发送数据包的过程。辅助站是一个多通道排队系统,它收集主站丢失的数据包,并将它们转发回来进行重审。所述主站的传输速率和所述辅助站的重传速率均在规定的范围内,并进行优化,以使成功传输的时间和所使用的网络资源量最小。在稳态模式下,导出了这些特性的显式表达式,从而形成了双准则优化问题。在两种情况下建立了最优策略:第一个问题是在有限资源下最小化成功传输的平均时间;第二个问题是在传输成功时间的约束下,最小化网络资源的消耗。通过求解增广泛函的最小化问题,得到了pareto最优策略集。分析了辅助系统中不考虑服务率的近似解的质量特性。
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引用次数: 2
Analysis of Information Interaction Efficiency in Low-Orbit Satellite Constellations 低轨道卫星星座信息交互效率分析
Q3 Mathematics Pub Date : 2019-07-18 DOI: 10.15622/SP.2019.18.4.858-886
O. Karsaev
The objects of the research are networks and information interactions in low-orbit satellite constellations performing tasks of remote sensing of the Earth. Research of network creation questions in this case is a necessary condition as opportunities and efficiency of information interaction directly depend on opportunities of a network. DTN (Delay-and-Disruption Tolerant Networking) technology is a basis of the network creation and CGR (Contact Graph Routing) approach is a basis of message routing. DTN technology and CGR approach are originally developed and used to provide communication with spacecraft located in a deep space. Therefore, the article discusses issues and problems arising in the context of their use in relation to low-orbit satellite constellations. The purpose of the information interaction study is development of effective interaction schemes (protocols). In the paper, the schemes of information interaction that can be used by a group of satellites in case of autonomous planning are considered. Along with autonomous planning, the paper also considers information interaction that can be used to implement network control of a satellite constellation in the case of ground planning. The effectiveness of the information interaction schemes are assessed by efficiency of orders’ execution. Measurement of efficiency is estimated via simulation of the communication network and the corresponding scheme of information interaction.
研究的对象是执行地球遥感任务的低轨道卫星星座的网络和信息交互。在这种情况下,研究网络创建问题是必要条件,因为信息交互的机会和效率直接取决于网络的机会。DTN(容忍延迟和中断的网络)技术是网络创建的基础,CGR(接触图路由)方法是消息路由的基础。DTN技术和CGR方法最初是为与位于深空的航天器通信而开发和使用的。因此,本文讨论了在与低轨道卫星星座相关的使用背景下出现的问题和问题。信息交互研究的目的是开发有效的交互方案(协议)。本文研究了一组卫星在自主规划情况下的信息交互方案。在自主规划的同时,本文还考虑了在地面规划的情况下,利用信息交互实现卫星星座的网络控制。信息交互方案的有效性通过订单执行效率来评价。通过对通信网络的仿真和相应的信息交互方案来估计效率的度量。
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引用次数: 0
Definition of Set of diagnostic Parameters of System based on the Functional Spaces Theory 基于功能空间理论的系统诊断参数集定义
Q3 Mathematics Pub Date : 2019-07-18 DOI: 10.15622/SP.2019.18.4.949-975
V. Senchenkov, D. Absalyamov, D. Avsyukevich
The development of methodical and mathematical apparatus for formation of a set of diagnostic parameters of complex technical systems, the content of which consists of processing the trajectories of the output processes of the system using the theory of functional spaces, is  considered in this paper. The trajectories of the output variables are considered as Lebesgue measurable functions. It ensures a unified approach to obtaining diagnostic parameters regardless  a physical nature of these variables and a set of their jump-like changes (finite discontinuities of trajectories). It adequately takes into account a complexity of the construction, a variety of physical principles and algorithms of systems operation. A structure of factor-spaces of measurable square Lebesgue integrable functions, ( spaces) is defined on sets of trajectories. The properties of these spaces allow to decompose the trajectories by the countable set of mutually orthogonal directions and represent them in the form of a convergent series. The choice of a set of diagnostic parameters as an ordered sequence of coefficients of decomposition of trajectories into partial sums of Fourier series is substantiated. The procedure of formation of a set of diagnostic parameters of the system, improved in comparison with the initial variants, when the trajectory is decomposed into a partial sum of Fourier series by an orthonormal Legendre basis, is presented. A method for the numerical determination of the power of such a set is proposed. New aspects of obtaining diagnostic information from the vibration processes of the system are revealed. A structure of spaces of continuous square Riemann integrable functions ( spaces) is defined on the sets of vibrotrajectories. Since they are subspaces in the afore mentioned factor-spaces, the general methodological bases for the transformation of vibrotrajectories remain unchanged. However, the algorithmic component of the choice of diagnostic parameters becomes more specific and observable. It is demonstrated by implementing a numerical procedure for decomposing vibrotrajectories by an orthogonal trigonometric basis, which is contained in spaces. The processing of the results of experimental studies of the vibration process and the setting on this basis of a subset of diagnostic parameters in one of the control points of the system is provided. The materials of the article are a contribution to the theory of obtaining information about the technical condition of complex systems. The applied value of the proposed development is a possibility of their use for the synthesis of algorithmic support of automated diagnostic tools.
本文考虑了复杂技术系统的一组诊断参数形成的方法和数学装置的发展,其内容包括使用泛函空间理论处理系统输出过程的轨迹。输出变量的轨迹被认为是勒贝格可测函数。它确保了一种统一的方法来获得诊断参数,而不管这些变量的物理性质和它们的一组跳变(轨迹的有限不连续)。它充分考虑到结构的复杂性、系统运行的各种物理原理和算法。在轨迹集上定义了可测方形勒贝格可积函数的因子空间结构(空间)。这些空间的性质允许将轨迹分解为相互正交方向的可数集合,并以收敛级数的形式表示它们。一组诊断参数的选择作为一个有序序列的分解系数的轨迹成傅立叶级数的部分和被证实。给出了用正交勒让德基将轨迹分解为傅立叶级数的部分和时,与初始变量相比改进的系统诊断参数集的形成过程。提出了一种确定该集合幂的数值方法。揭示了从系统振动过程中获取诊断信息的新途径。在振动轨迹集上定义了连续平方黎曼可积函数(空间)的空间结构。由于它们是上述因子空间中的子空间,因此振动轨迹变换的一般方法基础保持不变。然而,选择诊断参数的算法组件变得更加具体和可观察。通过实现一个用正交三角基分解振动轨迹的数值过程来证明这一点,振动轨迹包含在空间中。给出了振动过程实验研究结果的处理方法,并在此基础上对系统某控制点的诊断参数子集进行了设置。本文的材料是对获取复杂系统技术条件信息理论的贡献。所提出的发展的应用价值是它们用于自动诊断工具的合成算法支持的可能性。
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引用次数: 1
Algorithms of Processing Fluorescence Signals for Mass Parallel Sequencing of Nucleic Acids 核酸大规模平行测序荧光信号处理算法研究
Q3 Mathematics Pub Date : 2019-07-18 DOI: 10.15622/SP.2019.18.4.1010-1036
V. Manoilov, A. Borodinov, I. Zarutsky, A. Petrov, V. Kurochkin
Determination of the nucleotide sequence of DNA or RNA containing from several hundred to hundreds of millions of monomers units allows to obtain detailed information about the genome of humans, animals and plants. The deciphering of nucleic acids’ structure was learned quite a long time ago, but initially the decoding methods were low-performing, inefficient and expensive. Methods for decoding nucleotide nucleic acid sequences are usually called sequencing methods. Instruments designed to implement sequencing methods are called sequencers. Sequencing new generation (SNP), mass parallel sequencing are related terms that describe the technology of high-performance DNA sequencing in which the entire human genome can be sequenced within a day or two. The previous technology used to decipher the human genome required more than ten years to get final results. A hardware-software complex (HSC) is being developed to decipher the nucleic acid sequence (NA) of pathogenic microorganisms using the method of NGS in the Institute for Analytical Instrumentation of the Russian Academy of Sciences. The software included in the HSC plays an essential role in solving genome deciphering problems. The purpose of this article is to show the need to create algorithms for the software of the HSC for processing signals obtained in the process of genetic analysis when solving genome deciphering problems, and also to demonstrate the capabilities of these algorithms. The paper discusses the main problems of signal processing and methods for solving them, including: automatic and semi-automatic focusing, background correction, detection of cluster images, estimation of the coordinates of their positions, creation of templates of clusters of NA molecules on the surface of the reaction cell, correction of influence neighboring optical channels for intensities of signals and the assessment of the reliability of the results of genetic analysis
测定含有数亿个单体单位的DNA或RNA的核苷酸序列,可以获得有关人类、动物和植物基因组的详细信息。核酸结构的破译很早以前就有了,但最初的解码方法性能低、效率低、成本高。解码核苷酸核酸序列的方法通常称为测序方法。为实现测序方法而设计的仪器称为测序仪。测序新一代(SNP),大规模平行测序是描述高性能DNA测序技术的相关术语,该技术可以在一两天内对整个人类基因组进行测序。以前用于破译人类基因组的技术需要十多年才能获得最终结果。俄罗斯科学院分析仪器研究所正在开发一种软硬件复合体(HSC),用于利用NGS方法破译病原微生物的核酸序列(NA)。包含在HSC中的软件在解决基因组破译问题中起着至关重要的作用。本文的目的是展示在解决基因组解密问题时,需要为HSC软件创建算法来处理遗传分析过程中获得的信号,并演示这些算法的功能。本文讨论了信号处理中的主要问题及其解决方法,包括:自动和半自动聚焦、背景校正、聚类图像的检测、聚类图像位置坐标的估计、反应细胞表面NA分子簇模板的创建、对信号强度的相邻光通道影响的校正以及遗传分析结果可靠性的评估
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引用次数: 1
Formation of Quinary Gordon-Mills-Welch Sequences for Discrete Information Transmission Systems 离散信息传输系统的五元Gordon-Mills-Welch序列的形成
Q3 Mathematics Pub Date : 2019-07-18 DOI: 10.15622/SP.2019.18.4.912-948
V. Starodubtsev
An algorithm for the formation of the quinary Gordon-Mills-Welch sequences (GMWS) with a period of N=54-1=624 over a finite field with a double extension GF[(52)2] is proposed. The algorithm is based on a matrix representation of a basic M-sequence (MS) with a primitive verification polynomial hмs(x) and a similar period. The transition to non-binary sequences is determined by the increased requirements for the information content of the information transfer processes, the speed of transmission through communication channels and the structural secrecy of the transmitted messages. It is demonstrated that the verification polynomial hG(x) of the GMWS can be represented as a product of fourth-degree polynomials-factors that are indivisible over a simple field GF(5). The relations between roots of the polynomial hмs(x) of the basic MS and roots of the polynomials hсi(x) are obtained. The entire list of GMWS with a period N=624 can be formed on the basis of the obtained ratios. It is demonstrated that for each of the 48 primitive fourth-degree polynomials that are test polynomials for basis MS, three GMWS with equivalent linear complexity (ELC) of ls=12, 24, 40 can be formed. The total number of quinary GMWS with period of N=624 is equal to 144. A device for the formation of a GMWS as a set of shift registers with linear feedbacks is presented. The mod5 multipliers and summators in registers are arranged in accordance with the coefficients of indivisible polynomials hсi(x). The symbols from the registers come to the adder mod5, on the output of which the GMWS is formed. Depending on the required ELC, the GMWS forming device consists of three, six or ten registers. The initial state of cells of the shift registers is determined by the decimation of the symbols of the basic MS at the indexes of decimation, equal to the minimum of the exponents of the roots of polynomials hсi(x). A feature of determining the initial States of the devices for the formation of quinary GMWS with respect to binary sequences is the presence of cyclic shifts of the summed sequences by a multiple of N/(p–1). The obtained results allow to synthesize the devices for the formation of a complete list of 144 quinary GMWS with a period of N=624 and different ELC. The results can also be used to construct other classes of pseudo-random sequences that allow analytical representation in finite fields.
提出了在具有双扩展GF[(52)2]的有限域上形成周期N=54-1=624的五元Gordon-Mills-Welch序列(GMWS)的一种算法。该算法基于具有原始验证多项式hмs(x)和相似周期的基本m序列(MS)的矩阵表示。向非二进制序列的过渡是由对信息传输过程的信息内容、通过通信通道的传输速度和传输消息的结构保密性的增加要求决定的。证明了GMWS的验证多项式hG(x)可以表示为一个简单域GF(5)上不可分的四次多项式因子的乘积。得到了基本质谱的多项式hмs(x)的根与多项式h (x)的根之间的关系。根据所得的比值,可以得到周期N=624的GMWS的完整列表。结果表明,对于作为基质谱测试多项式的48个原始四次多项式,每一个都可以形成三个等效线性复杂度(ELC)为ls= 12,24,40的GMWS。周期N=624的五元GMWS总数为144。提出了一种由线性反馈移位寄存器组成的GMWS器件。寄存器中的mod5乘数和和数按照不可分多项式h (x)的系数排列。来自寄存器的符号进入加法器mod5,在其输出上形成GMWS。根据所需的ELC, GMWS成形装置由三个,六个或十个寄存器组成。移位寄存器的单元的初始状态由基本MS的符号在抽取索引处的抽取决定,等于多项式h (x)根的指数的最小值。对于二进制序列,确定形成五元GMWS的器件的初始状态的一个特征是,和序列的循环移位倍数为N/(p-1)。所得结果可用于合成周期N=624的144个不同ELC的五元GMWS的完整列表。结果也可用于构造允许在有限域中解析表示的其他类伪随机序列。
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引用次数: 1
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