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Energy Efficiency Optimization for Heterogeneous Cellular Networks Modeled by Matérn Hard-Core Point Process 被引量:6
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作者 Yonghong Chen Jie Yang +1 位作者 Xuehong Cao Shibing Zhang 《China Communications》 SCIE CSCD 2020年第8期70-80,共11页
The Poisson point process(PPP) has been widely used in wireless network modeling and performance analysis due to the independence between its nodes. Therefore, it may not be a suitable model for many of the exclusive ... The Poisson point process(PPP) has been widely used in wireless network modeling and performance analysis due to the independence between its nodes. Therefore, it may not be a suitable model for many of the exclusive networks between the nodes. This paper analyzes the energy efficiency(EE) and optimizes the two-tier heterogeneous cellular networks(Het Nets). Considering the mutual exclusion between macro base stations(MBSs) distribution, the deployment of MBSs is modeled by the Matérn hard-core point process(MHCPP), and the deployment of pico base stations(PBSs) is modeled by the PPP. We adopt a simple approximation method to study the signal to interference ratio(SIR) distribution in two-tier MHCPP-PPP networks and then derive the coverage probabilities, the average data rates and the energy efficiency of Het Nets. Finally, an optimization algorithm is proposed to improve the EE of Het Nets by controlling the transmit power of PBSs. The simulation results show that the EE of a system can be effectively improved by selecting the appropriate transmit power for the PBSs. In addition, two-tier MHCPP-PPP Het Nets have higher energy efficiency than two-tier PPP-PPP Het Nets. 展开更多
关键词 energy efficiency heterogeneous cellular networks coverage probability matérn hard-core point process
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融入非平稳随机场正则化的可控源音频大地电磁法约束反演方法
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作者 戴前伟 郭泸遥 +5 位作者 武赟 熊哲贤 段旦 包中林 吴鸿飞 郝风云 《煤田地质与勘探》 北大核心 2025年第6期246-258,共13页
【目的】可控源音频大地电磁法反演的计算效率和分辨率问题始终是该领域的关键议题。为解决可控源音频大地电磁法反演中计算效率和分辨率不足的问题,特别是传统正则化方法对复杂地质结构估计的过度平滑现象,提出了一种改进的正则化反演... 【目的】可控源音频大地电磁法反演的计算效率和分辨率问题始终是该领域的关键议题。为解决可控源音频大地电磁法反演中计算效率和分辨率不足的问题,特别是传统正则化方法对复杂地质结构估计的过度平滑现象,提出了一种改进的正则化反演方法,旨在更真实地反映地下物性参数的空间分布特性。【方法】采用基于Matérn函数随机偏微分方程的构建法,通过引入矢量场及变程“椭圆”的形状参数,充分考虑地层的倾斜变化和物性分布的非平稳性,构建出满足非平稳假设的模型协方差矩阵,并以此作为正则化约束条件进行反演。通过从反演结果、残差值、视电阻率相对残差及不确定度这4个维度,对比分析了传统最平滑约束方法、基于平稳假设的协方差约束方法以及非平稳协方差约束方法的效果。此外,为验证方法的实际应用效果,将其应用于新疆哈巴河县也尔克曼−金坝金矿勘探的实测数据处理中。【结果】理论模型结果表明,非平稳假设约束下4组试验的残差值介于20.47%~21.29%,优于平稳假设约束(残差值分别为21.25%及22.83%),优于传统最平滑约束方法(残差值为32.46%),且能更真实地反映地质构造特征,以及更清晰地识别地质边界。实测数据结果表明,非平稳假设约束方法在成像效果方面明显优于传统Occam平滑约束方法,数据拟合残差提升达51.47%,显著增强对复杂地质结构的分辨能力,并在一定程度上降低深部区域反演的不确定性,从而有效提升了整体反演结果的可靠性。【结论】基于非平稳假设的Matérn函数正则化反演方法为解决可控源音频大地电磁法反演中的计算效率和分辨率问题提供了一种新的技术手段,对推动地球物理反演技术的发展具有重要意义。 展开更多
关键词 可控源音频大地电磁法 非平稳假设 matérn协方差函数 随机偏微分方程 矢量场
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Comparison of the local pivotal method and systematic sampling for national forest inventories 被引量:1
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作者 Minna Räty Mikko Kuronen +3 位作者 Mari Myllymäki Annika Kangas Kai Mäkisara Juha Heikkinen 《Forest Ecosystems》 SCIE CSCD 2020年第4期716-732,共17页
Background:The local pivotal method(LPM)utilizing auxiliary data in sample selection has recently been proposed as a sampling method for national forest inventories(NFIs).Its performance compared to simple random samp... Background:The local pivotal method(LPM)utilizing auxiliary data in sample selection has recently been proposed as a sampling method for national forest inventories(NFIs).Its performance compared to simple random sampling(SRS)and LPM with geographical coordinates has produced promising results in simulation studies.In this simulation study we compared all these sampling methods to systematic sampling.The LPM samples were selected solely using the coordinates(LPMxy)or,in addition to that,auxiliary remote sensing-based forest variables(RS variables).We utilized field measurement data(NFI-field)and Multi-Source NFI(MS-NFI)maps as target data,and independent MS-NFI maps as auxiliary data.The designs were compared using relative efficiency(RE);a ratio of mean squared errors of the reference sampling design against the studied design.Applying a method in NFI also requires a proven estimator for the variance.Therefore,three different variance estimators were evaluated against the empirical variance of replications:1)an estimator corresponding to SRS;2)a Grafström-Schelin estimator repurposed for LPM;and 3)a Matérn estimator applied in the Finnish NFI for systematic sampling design.Results:The LPMxy was nearly comparable with the systematic design for the most target variables.The REs of the LPM designs utilizing auxiliary data compared to the systematic design varied between 0.74–1.18,according to the studied target variable.The SRS estimator for variance was expectedly the most biased and conservative estimator.Similarly,the Grafström-Schelin estimator gave overestimates in the case of LPMxy.When the RS variables were utilized as auxiliary data,the Grafström-Schelin estimates tended to underestimate the empirical variance.In systematic sampling the Matérn and Grafström-Schelin estimators performed for practical purposes equally.Conclusions:LPM optimized for a specific variable tended to be more efficient than systematic sampling,but all of the considered LPM designs were less efficient than the systematic sampling design for some target variables.The Grafström-Schelin estimator could be used as such with LPMxy or instead of the Matérn estimator in systematic sampling.Further studies of the variance estimators are needed if other auxiliary variables are to be used in LPM. 展开更多
关键词 Auxiliary data Bias Local pivotal method matérn estimator National forest inventory Sampling efficiency Simple random sampling Spatially balanced sampling Systematic sampling Variance
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Outage Probability Analysis for D2D-Enabled Heterogeneous Cellular Networks with Exclusion Zone:A Stochastic Geometry Approach 被引量:1
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作者 Yulei Wang Li Feng +3 位作者 Shumin Yao Hong Liang Haoxu Shi Yuqiang Chen 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第1期639-661,共23页
Interference management is one of the most important issues in the device-to-device(D2D)-enabled heterogeneous cellular networks(HetCNets)due to the coexistence of massive cellular and D2D devices in which D2D devices... Interference management is one of the most important issues in the device-to-device(D2D)-enabled heterogeneous cellular networks(HetCNets)due to the coexistence of massive cellular and D2D devices in which D2D devices reuse the cellular spectrum.To alleviate the interference,an efficient interference management way is to set exclusion zones around the cellular receivers.In this paper,we adopt a stochastic geometry approach to analyze the outage probabilities of cellular and D2D users in the D2D-enabled HetCNets.The main difficulties contain three aspects:1)how to model the location randomness of base stations,cellular and D2D users in practical networks;2)how to capture the randomness and interrelation of cellular and D2D transmissions due to the existence of random exclusion zones;3)how to characterize the different types of interference and their impacts on the outage probabilities of cellular and D2D users.We then run extensive Monte-Carlo simulations which manifest that our theoretical model is very accurate. 展开更多
关键词 Device-to-device(D2D)-enabled heterogeneous cellular networks(HetCNets) exclusion zone stochastic geometry(SG) matérn hard-core process(MHCP)
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Accessing the spatial distribution of aboveground biomass in tropical mountain forests using regression kriging simulation:a geostatistical approach for local-scale estimates
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作者 Joel Carlos Rodrigues Otaviano Cássio Freitas Pereira de Almeida 《Ecological Processes》 2025年第2期317-340,共24页
Background Accurate measurements of aboveground biomass(AGB)are essential for understanding the planet's carbon balance.The Atlantic Forest of the Serra do Mar in southeastern Brazil contains large areas of well-p... Background Accurate measurements of aboveground biomass(AGB)are essential for understanding the planet's carbon balance.The Atlantic Forest of the Serra do Mar in southeastern Brazil contains large areas of well-preserved remnants,characterized by mountainous terrain with significant orographic contrasts along its elevation gradient.This diverse landscape creates a variety of biophysical factors that strongly influence the spatial distribution of AGB.This study aims to estimate AGB using a hybrid geostatistical methodology,regression kriging simulation(RKS),to analyze AGB spatial distribution at a local scale(84 plots,each 0.01 ha)across a small forest fragment covering the entire tree-covered area(8777 ha).Building on traditional regression kriging method,this study introduces an innovative approach by incorporating Gaussian simulation to interpolate residuals,allowing RKS to account for uncertainties in the estimation process and create new results.This allows us to clearly distinguish exogenous ecological processes from endogenous ones before reaching the model's final estimate.Results Four regression kriging models were created,and the best-performing model used the Enhanced Vegetation Index and direct solar radiation(DSR),achieving an R^(2) of 55%.A Gaussian simulation was performed to interpolate the residuals of this model.The final results indicate that RKS provides accurate AGB estimates(RMSE=1.333 Mg/0.01 ha and R^(2) of 77%).Additionally,the inclusion of DSR as a new predictor variable enhances the precision of AGB estimates.The analysis showed that 63%of the sample pairs exhibited measurable spatial dependence.Conclusions Regression kriging simulation is proposed using Gaussian simulation,altering the classical application of regression kriging.For this,a case study was conducted in the Atlantic Forest of Serra do Mar to estimate the spatial distribution of tree biomass in a forest fragment of this region.We demonstrate that the proposed method better captures the heterogeneity of the region and produces more comprehensive results than regression kriging.Regression kriging simulation estimates tree biomass by considering the actual fluctuations of the spatial distribution of tree biomass in the region,taking into account exogenous and endogenous ecological processes,addressing random noise,and allowing the creation of dynamic maps for use by environmental managers. 展开更多
关键词 Aboveground biomass Direct solar radiation Mountainous tropical forest Regression kriging simulation Regression kriging matérn Atlantic forest NDVI EVI2
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一种高斯过程回归的水体吸收系数反演模型 被引量:3
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作者 刘宸博 邢帅 +3 位作者 王丹菂 李鹏程 陈坤 吴立亭 《测绘科学技术学报》 CSCD 北大核心 2021年第4期384-390,共7页
水体吸收系数是评价水体环境质量和衡量海洋对全球气候影响的重要因子。水色遥感作为目前对大范围海洋进行长时间连续监测的唯一手段,可以借助于合适的反演模型从影像上获取水体吸收系数。然而现有模型多为经验模型,反演精度和水体适应... 水体吸收系数是评价水体环境质量和衡量海洋对全球气候影响的重要因子。水色遥感作为目前对大范围海洋进行长时间连续监测的唯一手段,可以借助于合适的反演模型从影像上获取水体吸收系数。然而现有模型多为经验模型,反演精度和水体适应性都较差。基于自建的全球水体光学原位测量数据集SeaBASS2020,通过选用412、443、490、510、560、620、665 nm波段的遥感反射率以及620、665 nm与其余5个波段的遥感反射率比值作为模型输入特征,并以Matérn函数作为模型的核函数,提出一种基于高斯过程回归的水体吸收系数反演模型GPR-a。实验结果表明,在反演精度上GPR-a较传统的波段比值经验模型有大幅提升,其中决定系数R 2提升了24.79%,均方根误差σRMSE和平均相对误差εMRE分别降低了50%和35.17%。此外,实验还验证了GPR-a具有较强的鲁棒性和极佳的反演值不确定度估计能力。 展开更多
关键词 高斯过程回归 吸收系数 matérn核函数 鲁棒性 不确定度
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