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Monthly Runoff Forecasting by Non-Generalizing Machine Learning Model and Feature Space Transformation (Vakhsh River Case Study) 基于非广义机器学习模型和特征空间变换的月径流预测(瓦赫什河案例研究)
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.08
P. Matrenin, M. Safaraliev, N. Kiryanova, S. Sultonov
Energy prices and сost of materials for solar and wind power plants have increased over the past year. Therefore, significance increases for the hydropower and long-term (1–10 years) planning generation for the existing hydropower plants, which requires forecasting the average monthly values of the river flow. This task is especially urgent for countries without their own oil-fields and opportunity to invest in the creation of solar or wind power plants. The aim of the research is to decrease the mean absolute forecasting error of the long-term prediction for the Vakhsh River flow (Tajikistan) based on the long-term observations. A study of existing methods for the river runoff forecasting in relation to the object under consideration was carried out, and a new transformation model for the space of the input features was developed. The most significant results are the decrease in the average forecast error in the Vakhsh river flow achieved by the use of the proposed space of polynomial logarithmic features in comparison with other methods, and the need to use at least the 20 year-old observational data for the long-term operation planning of the hydropower plants and cascades of the hydropower plants obtained from the results of computational experiments. The significance of the results lies in the fact that a new approach to the long-term forecasting of river flow has been proposed and verified using the long-term observations. This approach does not require the use of the long-term meteorological forecasts, which are not possible to obtain with high accuracy for all regions.
过去一年,太阳能和风能发电厂的能源价格和材料成本都有所上涨。因此,现有水电站的水电和长期(1-10年)规划发电量显著增加,这需要预测河流流量的月平均值。对于那些没有自己的油田和投资建设太阳能或风能发电厂的机会的国家来说,这项任务尤其紧迫。本研究的目的是在长期观测的基础上,降低瓦赫什河(塔吉克斯坦)流量长期预测的平均绝对预测误差。针对所考虑的对象,对现有的河流径流预测方法进行了研究,并开发了一个新的输入特征空间转换模型。最显著的结果是,与其他方法相比,通过使用所提出的多项式对数特征空间,以及需要使用至少20年的观测数据来进行水力发电厂和水力发电厂梯级的长期运行规划,这些数据是从计算实验的结果中获得的。研究结果的重要意义在于,提出了一种新的河流流量长期预测方法,并利用长期观测进行了验证。这种方法不需要使用长期气象预报,不可能对所有地区都获得高精度的气象预报。
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引用次数: 0
Determination of the Optimal Algorithm for the Operation of a Hybrid Power System with a Regulating Generator 带调节发电机的混合电力系统运行最优算法的确定
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.07
N. Kuznetsov, O. Lysenko
The purpose of the article is to study the possibilities of preventing the imbalance caused by the stochastic nature of RES by regulating the electricity accumulation and the backup generator. The subject of the research is random processes of energy generation and consumption. The goal is achieved by a mathematical model construction in which the system parameters would be formalized and allow the choice of optimal options. The mathematical model uses random functions to obtain statistical estimates, and is implemented as sequential models of energy generation and consumption as an integrated random process. The models’ adequacy is confirmed by comparing the simulated and real indicators for a number of existing RES in Ukraine. The proposed approach made it possible to establish the presence of system parameters that minimize energy losses and consumption, reduce the probability of energy imbalance, and effectively use the reserve power. The proposed mathematical model allows determining the probability of various system states, it estimates the reliability of energy supply, and minimizes losses at the stages of designing a power system and planning its operating modes. The above estimates are typical for certain climatic conditions and modes of energy consumption, and are of a specific nature. The significance of the work lies in the fact that the proposed formulation of the problem makes it possible to adapt the mathematical model to various conditions, to find implicit dependencies between the technical parameters of the system and its indicators in order to find optimal solutions.
本文的目的是研究通过调节电力积累和备用发电机来防止可再生能源随机性造成的不平衡的可能性。研究的主题是能源产生和消耗的随机过程。该目标是通过数学模型构建来实现的,其中系统参数将被形式化,并允许选择最佳选项。该数学模型使用随机函数来获得统计估计,并作为一个集成的随机过程实现为能源生产和消耗的顺序模型。通过比较乌克兰一些现有可再生能源的模拟指标和实际指标,证实了模型的充分性。所提出的方法使建立系统参数成为可能,这些参数可以最大限度地减少能量损失和消耗,降低能量不平衡的概率,并有效地使用备用功率。所提出的数学模型可以确定各种系统状态的概率,估计能源供应的可靠性,并在设计电力系统和规划其运行模式的阶段最大限度地减少损失。上述估算是特定气候条件和能源消耗模式的典型估算,具有特定性质。这项工作的意义在于,所提出的问题公式使数学模型能够适应各种条件,找到系统技术参数与其指标之间的隐含相关性,从而找到最佳解决方案。
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引用次数: 0
Using the Mathematical Apparatus of Cellular Automata to Solve the Problem of Monitoring Critical Infrastructure Objects by Unmanned Aerial Vehicles 利用元胞自动机数学装置解决无人机关键基础设施目标监控问题
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.12
V. Chistov, I. Zakharchenko, V. Pavlenko, M. Pavlenko, P. Berdnik, A. Timochko, K. Kryzhevskaya
The purpose of this work is the development of mathematical tools for formalizing decisionmaking problems in open expert real-time control systems. The goal was achieved by defining and formally describing all the elements of a formal system. The most significant result was the proposed approach to formalization. With its help, within the framework of a single formalism, the dynamic properties of the subject area and the logical-analytical activity of the power system dispatcher, presented in different classes of formal logics, were described. The significance of the results obtained lies in the possibility of a rigorous description of various aspects of knowledge within the framework of a single formal apparatus with further pragmatic interpretation in the management process. The proposed approach was distinguished by using the axioms of aletic and deontic logics and the development of axioms that reflect the specifics of the problems being solved. The introduced system of basic concepts and relations makes it possible to classify many decision-making problems for the power systems management. The goals were described within the framework of a single formalism form the basis of the apparatus for formalizing the decision-making problems of the class under consideration. The formalization apparatus provides a description of the dynamic properties of the system within each aspect of knowledge of the content paradigm. The direction of further research is the construction of an appropriate formal theory based on the proposed formal system.
这项工作的目的是开发数学工具,用于将开放式专家实时控制系统中的决策问题形式化。这一目标是通过定义和正式描述正式系统的所有要素来实现的。最重要的结果是拟议的形式化方法。借助它,在单一形式主义的框架内,描述了主题区域的动态特性和电力系统调度员的逻辑分析活动,这些特性以不同类别的形式逻辑呈现。所获得的结果的意义在于,有可能在一个单一的正式机构的框架内对知识的各个方面进行严格的描述,并在管理过程中进行进一步的语用解释。所提出的方法是通过使用阿列逻辑和道义逻辑的公理以及反映所解决问题的具体情况的公理的发展来区分的。引入的基本概念和关系体系使得对电力系统管理的许多决策问题进行分类成为可能。这些目标是在单一形式主义的框架内描述的,该形式主义构成了将所考虑的班级的决策问题形式化的装置的基础。形式化装置在内容范式的知识的每个方面内提供系统的动态特性的描述。进一步研究的方向是在所提出的形式体系的基础上构建一个合适的形式理论。
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引用次数: 0
Analysis and Simulation of Overmodulation Modes of a Three-Inverter Block of the Photovoltaic Installation 光伏三逆变器模块过调制模式分析与仿真
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.02
V. Oleschuk
The purpose of this work is to modernize the control scheme of a transformer-based photovoltaic system with three inverters controlled by the modified algorithms of synchronous spacevector PWM in order to ensure linear regulation of the system in the overmodulation zone of the inverter block in the process of forming a symmetrical and synchronized (with the operating frequency of the system) voltage on the inverter-side windings of a power transformer. This goal is achieved by the fact that the process of two-stage control of the system in the zone of overmodulation of inverters is carried out on the basis of synchronized phase shifts between the control signals of inverters (a constant phase shift, as well as an additional adjustable phase shift between the inverter signals as a function of the duration of clock subintervals), with an appropriate modification of the algorithms of synchronous PWM of inverters due to the inclusion of two specialized correction factors in the basic functional dependencies. The most significant results of the work include the fact that in a system with a modified control scheme and modulation of the inverter block in the overmodulation zone, the resulting voltage on the inverter-side windings of the power transformer is characterized by quarterwave symmetry, and its spectrum contains no even-order harmonics, as well as subharmonics, including regimes of fluctuations in the operating frequency of the system connected to a three-phase network, thereby helping to reduce losses in the transformer windings and improve the efficiency of photovoltaic systems.
本工作的目的是对具有三个逆变器的基于变压器的光伏系统的控制方案进行现代化改造,该逆变器由同步空间矢量PWM的修改算法控制,以确保系统在逆变器块的过调制区内形成对称和同步(与系统的工作频率)的过程中进行线性调节电力变压器的逆变器侧绕组上的电压。该目标是通过以下事实实现的:在逆变器的过调制区域中的系统的两阶段控制过程是基于逆变器的控制信号之间的同步相移(恒定相移以及作为时钟子间隔的持续时间的函数的逆变器信号之间的附加可调相移)来执行的,由于在基本函数相关性中包括两个专门的校正因子,对逆变器的同步PWM的算法进行了适当的修改。这项工作最重要的结果包括,在具有修改的控制方案和过调制区逆变器块调制的系统中,电力变压器逆变器侧绕组上产生的电压具有四分之一波对称性,其频谱不包含偶次谐波和次谐波,包括连接到三相网络的系统的操作频率的波动状态,从而有助于减少变压器绕组中的损耗并提高光伏系统的效率。
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引用次数: 1
Thermal Model of the Output Traction Converter of an Electric Locomotive with Induction Motors 感应电动机电力机车输出牵引变流器的热模型
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.01
S. Goolak, M. Kyrychenko
The aim of research is to develop a thermal model of the output converter of an electric locomotive with vector control, taking into account the operating modes of the electric locomotive. The aim was achieved by using energy losses at the moments of switching functions that describe the nature of the change in the curves of currents and power voltages of transistors and converter diodes. The object of research is an autonomous voltage converter, which is part of the traction drive of an electric locomotive with a vector control system. The simulation was carried out for an autonomous voltage converter, the load of which is two traction induction motors operating in the nominal mode. The temperature of transistors and diodes is obtained for the established modes of operation of traction motors. The most important results are the analytical dependence of thermal power losses in the inverter as a function of inverter phase currents and voltages. The significance of the results obtained is to establish the dependence of the temperature of the power devices of the inverter on the actual operating conditions of the electric locomotive. The established dependencies will further determine the spectral power of thermal noise. This will allow, when designing a traction drive control system, to develop an effective system for filtering thermal noise. This will increase the energy performance of the traction drive of the electric locomotive by improving the accuracy of regulation.
研究的目的是在考虑电力机车运行模式的情况下,开发具有矢量控制的电力机车输出变流器的热模型。该目的是通过使用开关函数时刻的能量损失来实现的,开关函数描述了晶体管和转换器二极管的电流和功率电压曲线变化的性质。研究对象是一种自主电压转换器,它是带有矢量控制系统的电力机车牵引传动的一部分。对一个自主式电压转换器进行了仿真,该转换器的负载是两个在标称模式下运行的牵引感应电机。晶体管和二极管的温度是为牵引电机的既定运行模式而获得的。最重要的结果是逆变器中的热功率损耗作为逆变器相电流和电压的函数的分析相关性。所获得的结果的意义在于建立逆变器功率装置的温度对电力机车实际运行条件的依赖性。所建立的相关性将进一步确定热噪声的频谱功率。这将允许在设计牵引驱动控制系统时,开发一种用于过滤热噪声的有效系统。这将通过提高调节精度来提高电力机车牵引传动的能量性能。
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引用次数: 2
Identification of Internal Electromagnetic Defects of Implicit-Pole Synchronous Generators Based on the Information of its External Magnetic 基于外磁信息的隐极同步发电机内部电磁缺陷识别
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.03
A. Morozov, Ju.B. Kazakov, N. Morozov, S. Nesterov
The objectives of the work are to develop a non-contact method of detecting internal electromagnetic defects in synchronous generators based on the analysis of asymmetry of the external magnetic field distribution resulting from damage, establishing the relationship of defects of a generator with the pattern of field distribution, identifying diagnostic signs for the defects. These objectives are achieved by developing and using three-dimensional finite-element models of the external magnetic field of synchronous generators, by studying and analyzing the results of numerical simulation of external magnetic fields, by comparing the simulation results with experimental data. Significant results of the work include the improvement of the non-contact method for detecting internal electromagnetic defects in synchronous generators, revealing how defects of the generator manifest themselves in the asymmetry of magnetic field distribution, and detecting the correlation of field asymmetry with the type and severity of defects. For implicit-pole synchronous generators, it is reasonable to use the field asymmetry coefficient determined by the shift in the magnetic field distribution caused by field coils damage. The sign of the coefficient indicates the pole with a damaged field coil. The value of the coefficient characterizes the severity of damage to the field coils, with a critical value of 0.1. The significance of the results lies in the possibility of timely and non-contact diagnostics of internal electromagnetic defects of implicitpole synchronous generators, which can significantly reduce the economic damage from failures of generators without installation of diagnostic sensors of damage inside the generators.
本文的工作目标是在分析同步发电机损坏引起的外磁场分布不对称的基础上,建立同步发电机缺陷与磁场分布模式的关系,确定缺陷的诊断标志,建立同步发电机内部电磁缺陷的非接触检测方法。通过建立和应用同步发电机外磁场的三维有限元模型,研究和分析外磁场的数值模拟结果,并将模拟结果与实验数据进行比较,实现了上述目标。改进了同步发电机内部电磁缺陷的非接触检测方法,揭示了同步发电机内部电磁缺陷在磁场分布不对称性中的表现,检测了磁场不对称性与缺陷类型和严重程度的相关性。对于隐极同步发电机,采用由磁场线圈损坏引起的磁场分布位移决定的磁场不对称系数是合理的。系数的符号表示有损坏的磁场线圈的极。该系数的值表征了磁场线圈损坏的严重程度,临界值为0.1。研究结果的意义在于,可以在不安装发电机内部损伤诊断传感器的情况下,对隐极同步发电机内部电磁缺陷进行及时、非接触诊断,大大减少发电机故障造成的经济损失。
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引用次数: 0
Energetics and Kinetics of Plant Raw Material Dehydration Processes 植物原料脱水过程的能量学和动力学
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.9
O. Burdo, S. Terziev, A. Burdo, I. Sirotyuk, E.A. Pylypenko, A. Akimov, M.Yu. Molchanov
The aim of this work is the energy-efficient equipment creation for production of a highquality dry product from a plant raw material and development of scientific and engineering foundation for the design of such an equipment. The achievement of this aim lies in a deep analysis of tendency in the development of a drying theory and technique. The graph is presented, on the basis of which the development of heat and moisture transfer model of A.V. Lykov is given, taking into account the P. A. Rebinder moisture bond forms specificity. The problems of convective drying modern technologies are determined; the reasons of high-energy consumption during their work are substantiated. The electrodynamic dehydrators classification is given, which consideres the combined simple modes (drying) and hybrid dehydration modes. On the basis of the first law of thermodynamics, the possibility of a significant decrease in energy consumption is shown by the organization of a “vapordynamic” effect. The most significant result of the work is the construction of the electrodynamic apparatus module for dehydration of food and medicinal plant raw material. By the combination of electromagnetic field with the filtration process the specific energy consumptions were 1.9 MJ per 1 kg of the removed moisture, at the hybrid processes — juice yield exceeded vapor yield by 3.5 times. The significance of the work consists in the fact that the scientific conception of the authors on the possibilities of the significant decrease in energy consumption during the raw material dehydration at the innovative electrodynamic type apparatuses was practically proven.
这项工作的目的是用植物原料生产高质量干产品的节能设备,并为这种设备的设计奠定科学和工程基础。这一目标的实现在于对干燥理论和技术发展趋势的深入分析。给出了该图,在此基础上,考虑到P.A.Rebinder湿键形式的特异性,给出了A.V.Lykov热湿传递模型的发展。确定了现代对流干燥技术存在的问题;论证了他们工作中高能耗的原因。给出了电动脱水机的分类,其中考虑了简单模式(干燥)和混合脱水模式的组合。根据热力学第一定律,通过组织“蒸汽动力学”效应,表明了能源消耗显著降低的可能性。这项工作的最重要成果是建造了用于食品和药用植物原料脱水的电动装置模块。通过将电磁场与过滤过程相结合,在混合过程中,每1kg去除的水分的比能耗为1.9MJ——果汁产量比蒸汽产量高3.5倍。这项工作的意义在于,作者关于在创新的电动型装置中大幅降低原料脱水过程中能耗的可能性的科学概念得到了实际证明。
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引用次数: 2
The Coal Dust Combustion Scheme for an Invert Furnace of an A-USC M-Shaped Boiler A-USC型m型锅炉反炉煤尘燃烧方案
IF 0.3 Pub Date : 2022-08-01 DOI: 10.52254/1857-0070.2022.3-55.04
V. Prokhorov, V. Kirichkov, S. Chernov, N. Fomenko
The M-shaped boiler construction for the advanced ultrasupercritical steam parameters (A-USC) is proposed in this work. The boiler was designed to operate in a 500 MW unit on low volatile hard coal. This design allows reducing the pipelines length of the high cost steam pipelines made of nickel alloys. A downstream (invert) furnace is offered for this boiler type. The coal dust burning scheme design using the direct-flow burners and nozzles in a system of vertical and horizontal tangential torches and the solid ash removal are proposed. This approach was extensively used earlier on standard shaped boilers, and it was upgraded now for an invert furnace. The goals are achieved by conducting research on the physical furnace model and thermal furnace processes numerical simulation by computational fluid dynamics software. The most significant research results were as follows: the oxidizer stage supply was performed along the torch length and furnace height; the dynamic jet pressure on the furnace walls was excluded; a high degree of coal burnout was ensured due to the vortex furnace aerodynamics implementation; the uniform furnace section filling with air jets was performed; turbulent jets ejection was significantly higher than that for a flat submerged jet; chemical underburning loss did not exceed 0.1%; and unburned carbon loss was 0.8%. The carbon monoxide concentration at the furnace outlet in terms of air excess ratio equal to α=1.4 was 226 mg/nm3 . The nitrogen oxides concentration in the flue gases (normalized) was 424 mg/nm3 . The results significance obtained during the research is efficient solid fuel use with high technical and economic boiler performance.
本文提出了先进超临界蒸汽参数(A-USC)的m型锅炉结构。该锅炉设计用于500mw低挥发性硬煤机组运行。这种设计可以减少高成本的镍合金蒸汽管道的管道长度。这种类型的锅炉提供了一个下游(逆变)炉。提出了在垂直和水平切向火炬系统中采用直流式燃烧器和喷嘴的煤尘燃烧方案设计以及固体灰的清除。这种方法以前广泛用于标准形状的锅炉,现在升级为倒置炉。采用计算流体力学软件对炉体模型进行了研究,并对炉体过程进行了数值模拟。最显著的研究结果是:氧化剂分段供给沿炬长和炉高方向进行;排除炉壁上的动射流压力;涡流炉空气动力学的实现保证了高燃烬度;采用气流均匀填充炉段;湍流射流的喷射量显著高于平坦水下射流;化学欠燃损失不超过0.1%;未燃烧碳损失为0.8%。以α=1.4的空气过剩比计算,炉口一氧化碳浓度为226 mg/nm3。烟气中氮氧化物浓度(归一化)为424 mg/nm3。研究结果的意义在于固体燃料的高效利用和锅炉技术经济性能的提高。
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引用次数: 0
Increasing the Energy Efficiency of Blast-Furnace Smelting by Choosing Rational Parameters for Loading a Multicomponent Charge 选择合理的多组分装药参数提高高炉冶炼能效
IF 0.3 Pub Date : 2022-05-01 DOI: 10.52254/1857-0070.2022.2-54.05
N. Ivancha, V. Vishnyakov, I. Muravieva, V. Shcherbachev, E. Ermolina
The purpose of this study was to develop a calculation tool for researchers and technologists - metallurgists, providing the ability to quickly assess the distribution of charge materials in a blast furnace when it is loaded with a multicomponent charge. The goal is achieved by analyzing and summarizing the multidimensional matrix of values for the content of the charge components in the annular zones of the blast furnace, obtained using a mathematical model of its loading under various modes, changing the content of pellets in the charge and the moment the pellets are unloaded onto the main conveyor. The most important results of the studies carried out are the substantiation of the possibility of obtaining and applying calculated dependencies to determine the characteristics of the distribution of charge components with an accuracy acceptable for technological practice, as well as the established relationship between the content of the component in the charge and the value of the set point for the start of unloading it onto the conveyor with the content of this component in the annular zones of the top. Estimated composition of mixtures of charge materials formed in different zones of a blast furnace makes it possible to predict the properties of melts formed from them and to correct them in order to achieve the required level of energy efficiency in melting a multicomponent charge by promptly choosing rational parameters of the loading mode.
本研究的目的是为研究人员和技术人员-冶金学家开发一种计算工具,提供快速评估高炉中加载多组分装药时装药材料分布的能力。通过分析和总结高炉环形区域内装药成分含量的多维值矩阵,得到不同模式下高炉装药的数学模型,改变装药中球团的含量和球团卸至主输送机的时刻,从而达到目的。所进行的研究的最重要的结果是证实了以技术实践可接受的精度获得和应用计算依赖关系来确定电荷分量分布特性的可能性。以及物料中成分的含量与开始将其卸载到输送机上的设定值之间建立的关系,该成分的含量在顶部的环形区域。对在高炉不同区域形成的装料混合物的成分进行估计,可以预测由它们形成的熔体的性能,并对其进行修正,以便通过及时选择合理的加载方式参数,在熔化多组分装料时达到所需的能效水平。
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引用次数: 1
The Sufficient Condition for Ensuring the Reliability of Perception of the Steganographic Message in the Walsh-Hadamard Transform Domain Walsh-Hadamard变换域中保证隐写信息感知可靠性的充分条件
IF 0.3 Pub Date : 2022-05-01 DOI: 10.52254/1857-0070.2022.2-54.08
A. Kobozeva, A. Sokolov
In view of the high compatibility of the Walsh-Hadamard transform to the architecture of modern computing facilities, it is sensible to use it in methods of steganography and steganalysis. Now, there are some efficient steganographic methods that use the Walsh-Hadamard transform domain for information embedding presented in the literature. It is known that to ensure the reliability of the steganographic message perception, information should be embedded in its high-frequency components; nevertheless, the issues of the correspondence of the Walsh-Hadamard transformants to the frequency components of the original matrix of the cover image are poorly researched. The purpose of this paper is to develop a formal sufficient condition for ensuring the reliability of perception of steganographic messages in the Walsh-Hadamard transform domain. This purpose was achieved by establishing the relationship between the Walsh-Hadamard transformants and the discrete cosine transform transformants, which was theoretically substantiated in two ways, and also experimentally confirmed. Based on the established relationship between the Walsh-Hadamard transform and the discrete cosine transform, as well as the components of the singular value decomposition of the corresponding matrices, a sufficient condition has been developed to ensure the reliability of the perception of steganographic messages in the Walsh-Hadamard transform domain. The sufficient condition consists in the fact that after embedding of additional information using any steganographic method, those WalshHadamard transformants that correspond to the singular triples of the matrix corresponding to small (smallest) in value singular numbers, should change.
鉴于沃尔什-阿达玛变换对现代计算设施的高度兼容性,在隐写和隐写分析方法中使用它是明智的。目前,文献中提出了一些利用Walsh-Hadamard变换域进行信息嵌入的高效隐写方法。我们知道,为了保证隐写信息感知的可靠性,信息应该嵌入到其高频分量中;然而,对沃尔什-阿达玛变换与封面图像原始矩阵频率分量的对应问题研究甚少。本文的目的是建立一个在Walsh-Hadamard变换域中保证隐写信息感知可靠性的形式化充分条件。这一目的是通过建立Walsh-Hadamard变换与离散余弦变换变换之间的关系来实现的,该关系从两个方面得到了理论证明,并得到了实验证实。基于已建立的Walsh-Hadamard变换与离散余弦变换之间的关系,以及对应矩阵的奇异值分解分量,给出了在Walsh-Hadamard变换域中保证隐写信息感知可靠性的充分条件。其充分条件在于,在使用任何隐写方法嵌入附加信息后,与值奇异数中较小(最小)对应的矩阵的奇异组对应的WalshHadamard变换应该发生变化。
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引用次数: 1
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