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66 results about "Poisson point process" patented technology

In probability, statistics and related fields, a Poisson point process is a type of random mathematical object that consists of points randomly located on a mathematical space. The Poisson point process is often called simply the Poisson process, but it is also called a Poisson random measure, Poisson random point field or Poisson point field. This point process has convenient mathematical properties, which has led to it being frequently defined in Euclidean space and used as a mathematical model for seemingly random processes in numerous disciplines such as astronomy, biology, ecology, geology, seismology, physics, economics, image processing, and telecommunications.

Heterogeneous cellular network base station deployment method based on Poisson cluster process

ActiveCN106454919AEasy to analyzeHigh probability of coverageWireless communicationProbit modelCoverage probability
The invention provides a heterogeneous cellular network base station deployment method based on a Poisson cluster process. The method comprises the following steps: on the basis of a random geometry theory, according to a hypothetical system model and adopting an instantaneous SINR cell selection mechanism as a cell selection mechanism of a user, deducing an SINR model based on the Poisson cluster process; carrying out analysis and inference on an interference model of a multi-layer heterogeneous cellular network by utilizing characteristics of the Poisson cluster process and a probability generation function thereof to obtain an interference distribution model; with the SINR model and the interference distribution model being combined, deducing a coverage probability model of the multi-layer heterogeneous cellular network; and carrying out simulated comparison and analysis on difference of coverage probabilities of the Poisson cluster process and a Poisson point process. The method is much closer to real communication scenes, is larger in coverage probability, can analyze coverage probability and throughput capacity better, and is of great importance in study of the heterogeneous cellular network in the future.
Owner:UNIV OF SCI & TECH BEIJING

Poisson-process-model-based method for predicting event popularity in social network

The invention provides a Poisson-process-model-based method for predicting the event popularity in a social network. The method comprises the steps as follows: Step 1, selecting a sample event, and obtaining a micro-blog propagation chain of the sample event; Step 2, performing user influence calculation, screening users with the strong influence as critical users, and marking the rest users as non-critical users; Step 3, modeling micro-blog forwarding processes brought by the critical users as a Poisson process model, and simply processing micro-blog forwarding processes brought by the non-critical users; Step 4, learning and estimating parameters of the Poisson process model of the critical users and parameters of the non-critical users by the aid of information of the sample event; Step 5, giving a new event with evolution information in certain duration, and predicting the popularity of the new event at a certain moment in the future according to the model in Step 3. By the aid of the method, the better popularity prediction can be provided at the initial stage of a micro-blog event, and very effective help can be provided for reasonable guidance of development of the event.
Owner:上海深杳智能科技有限公司 +1

Reliability model of competitive failure systems with multiple degradation processes and stochastic shocks

The invention discloses a new reliability model of a multi-degradation process and a stochastic impact competition failure system. It is assumed that random shocks obey homogeneous Poisson process, and the probability that the shocks are fatal and non-fatal is p (t) and q (t), respectively, where once the fatal shocks occur, the system will invalidate immediately; non-lethal shocks can have an impact on the degradation process, on the one hand,phase step degeneration increase will be increased, on the other hand, it will increase the degradation rate, and its effect is reflected by cumulativedamage. On this basis, by modifying the existing nonlinear Wiener process degradation model, the effect of non-lethal shock on degradation is considered, and the final system reliability function is established by time-varying Copula function. Finally, a numerical example is given to illustrate the mathematical model proposed in this paper.
Owner:BEIHANG UNIV

Coverage and data plane separated super-dense heterogeneous cellular network user access method

ActiveCN109327851AReduce switching timesIncreased achievable data rateAssess restrictionHigh rateData simulation
The invention belongs to the technical field of user accessing to a super-dense heterogeneous cellular network, and discloses a coverage and data plane separated super-dense heterogeneous cellular network user access method. The method comprises the following steps: building a microcellular base station system model based on a Poisson cluster process; assisting, by multiple micro base stations distributed around the same hotspot, a user in access service; building a macro base station system model based on a Poisson point process; on the premise that a macro base station is mainly used for completing a coverage function and the micro base stations are used for high-rate data transmission, respectively deducting an SINR (Signal to Interference plus Noise Ratio) distribution model and an interference distribution model which are received by a macro base station user and a micro base station user; deducting an average accessible rate when users in a network are served by different types of base stations by using the SINR distribution model and a known distance distribution model; and deducting a reliable closed upper bound and lower bound of Laplace transformation of the interferencedistribution model. A data simulation result shows that the coverage and data plane separated super-dense heterogeneous cellular network user access method provided by the invention can achieve a higher data rate.
Owner:JILIN UNIV

Method for gradually deforming an initial object distribution in a heterogeneous medium, generated by simulation of an object type stochastic model, to best adapt it to imposed physical constraints

A geostatistical method for gradually deforming an initial distribution of objects, of geologic type for example, from measurements or observations, so as to best adapt it to imposed physical constraints of, for example, a hydrodynamic type having applications of geostatistical modelling of heterogeneous reservoirs of various objects: fracture, channels, vesicles, etc., for example. The objects are distributed in a zone of a heterogeneous medium according to a Poisson point process in form of figurative points with a point density λ(x) that varies according to their position (x) in the zone, a realization of a uniform random vector according to which the position of each object is defined while respecting density λ(x) is formed, and the uniform random vector is gradually modified according to a gradual deformation process so as to obtain gradual migration of each object until a final realization best adjusted to parameters relative to the structure of the medium, such as hydrodynamic parameters, is obtained.
Owner:INST FR DU PETROLE

Cluster-based interference alignment method for two-layer network

ActiveCN106788812AEliminate cross-layer interferenceReduce cross-layer interferenceBaseband system detailsTransmission monitoringInterference eliminationCommunications system
The invention discloses a cluster-based interference alignment method for a two-layer network. The method comprises the steps of: firstly, modeling the two-layer network based on stochastic geometry, then clustering femtocell base stations and users, and finally eliminating interference by using an interference alignment technology. A three-dimensional femtocell network structure model, particularly, a femtocell network model conforming to three-dimensional Poisson point process distribution, is close to the actual interference scene. Femtocell base stations and users are clustered according to the principle of square error function decrease, and cross-layer interference of macrocell users and each cluster and inter-cluster interference in a femtocell layer are finally eliminated by using the interference alignment technology, so that the complexity of interference management is reduced, and the method is applicable to actual communication systems.
Owner:JIANGSU UNIV OF SCI & TECH

X-ray pulsar navigation TOA estimation method based on Bayes estimation

The invention belongs to the technical field of X-ray pulsar autonomous navigation and discloses an X-ray pulsar navigation TOA estimation method based on Bayes estimation. Under the condition that the overall trend of a photon counting rate accords with the Poisson distribution, an X-ray photon arrival time sequence can be modeled into a non-homogeneous Poisson process; the flow characteristics of PSR B0531 + 21 pulsars accord with the Poisson distribution, and a Poisson distribution signal model is established and divided into a time-frequency model and a frequency-stabilizing model; the frequency-stabilizing model of the photon sequence is selected to perform Fourier transform and then the frequency-stabilizing model is converted into a frequency domain to obtain a photon flow probability function expression with time delay estimation parameters; the photon flow probability function expression is converted into a likelihood function capable of calculating a time delay parameter by using a Bayes theorem for solving; and a Tool multi-mode nested sampling algorithm is calculated by Bayes estimation, iteration is carried out, and the parameter estimation value of the likelihood function is further calculated. The invention effectively improves the TOA estimation precision within the observation time and meets the future engineering development requirement of pulsar navigation.
Owner:XIDIAN UNIV

Rolling bearing vibration performance reliability variation process detection method and rolling bearing vibration performance reliability variation process detection device

The invention relates to a rolling bearing vibration performance reliability variation process detection method and a rolling bearing vibration performance reliability variation process detection device. In the method provided by the invention, according to a time sequence counting process, extremely little variation intensity original information shown by bearing vibration is obtained at a short time interval; through the self-help re-sampling on the variation intensity original information, much variation intensity generating information is simulated; the generating information is processed by using a grey prediction model, and a variation intensity estimation value is obtained; a Poisson process is used for expressing a reliability function; and the variation process of the bearing vibration performance reliability is predicted in real time. The method and the device provided by the invention have the advantages that on the basis of the time sequence of the vibration information, the grey self-help principle is merged into the Poisson process, and a grey self-help Poisson method is provided for predicating the variation process of the rolling bearing performance reliability.
Owner:HENAN UNIV OF SCI & TECH

Dynamic arrival spectrum sensing method based on absolute value accumulation

The invention provides a dynamic arrival spectrum sensing method based on absolute value accumulation. The method is mainly divided into two steps: a signal detection process and a signal decision process; and the method specifically includes the step that: a secondary user first takes a dynamic arrival signal of a Poisson process as a received signal, and then performs absolute value processing on the received signal, takes a cumulative summation result as the decision statistic, and further judges whether a primary user exists or not to achieve spectrum sensing. According to the scheme of the invention, in the case of low signal-to-noise ratios, the problem of 'spike' of Laplace noises can also be improved, the detection performance of an algorithm can be improved, and thus the effectiveutilization of spectrum can be achieved.
Owner:XIAN UNIV OF POSTS & TELECOMM

Wireless energy supply multi-hop communication system node selection method

The invention discloses a wireless energy supply multi-hop communication system node selection method, which comprises the following steps that: at a signal source S, all nodes collect energy firstly,then select the nodes and transmit information, and select a node SS with the maximum collected energy from the signal source S to send the information; at the relay R, if information needs to be forwarded, energy is collected from an environment radio frequency source for work, and then a node is selected as relay forwarding information, and the relay adopts a DF mode, and a node RS with the maximum collected energy is selected from all nodes with correct decoding in the relay R to forward the information to a receiving end; at a receiving end D, node receiving information with the maximum received signal to interference plus noise ratio is selected; and meanwhile, same-frequency interference signals existing in the system are considered, and the interference signals are modeled into a Poisson point process, and interference of nodes in the same cluster is used as a related event, and interference between different clusters is used as an independent event. A node selection scheme isprovided for the wireless energy supply multi-hop system, so that the system performance is improved, and the system outage probability is reduced.
Owner:XI AN JIAOTONG UNIV

Poisson process user-to-shop behavior prediction based on automatic fitting mean function

The invention discloses a Poisson process user-to-shop behavior prediction method based on an automatic fitting mean function, and in the prediction method, the Poisson process modeling prediction is performed by the means of an automatic fitting mean function in a case where a user-to-shop behavior of buying a commodity has a strong randomness, so as to fully analyze whether a user will go to the shop to buy a commodity in the future. According to the invention, the problems of the unknown supply and demand information relationship of the number of shops and commodity demanders in the unknown supply and demand information reflection is solved, and the problem that the customer loyalty cannot be evaluated in part is solved; meanwhile, a set of prediction algorithm suitable for the prediction of user-to-shop purchase and integrated with data acquisition, parameter training, training result analysis and modeling prediction is developed, the most appropriate prediction parameters for specified prediction indexes are set, and the purpose of accurate prediction is achieved; and finally, the invention solves the problem in the rational use of historical data and determination of the validity of prediction results by using the automatic fitting mean function.
Owner:四川银百迪科技有限公司

Shielding data-based open source software reliability evaluation method

InactiveCN108733407AMeet the needs of real-time rapid evaluation of software reliabilitySoftware metricsEvaluation resultFailure rate
The invention provides a shielding data-based open source software reliability evaluation method. According to characteristics of shielding data, and by utilizing a non-homogeneous Poisson process theory which can be superposed, a cumulative failure function and a failure rate of an open source software system are calculated, and the reliability of the open source software system is further evaluated. By using an EM (Expectation Maximization) algorithm, the problem that maximum likelihood estimation is difficult to implement in reliability evaluation of open source software under general shielding data can be solved, and a reliability evaluation result of the open source software can be timely given, so that the demand of rapidly evaluating the reliability of the software in real time is met.
Owner:GUIZHOU INST OF TECH

Earthquake random event set simulation method considering large earthquake time correlation

PendingCN111382908AEarthquake Hazard UnderestimationReflect spatiotemporal inhomogeneityForecastingResourcesTime correlationEarthquake engineering
The invention relates to the field of seismic engineering and the field of giant disaster insurance services, and provides a seismic random event set simulation method considering large seismic time correlation, which comprises the following steps: determining seismic activity parameters on a seismic zone and a potential seismic source area; setting a random event set seismic sequence time length;for the potential seismic source area, generating a seismic random event set according to seismic magnitude grades; adopting a Poisson process model to obtain the magnitude, the size and the time ofthe earthquake for the low-magnitude gear; adopting a time correlation process model for a high-magnitude gear to obtain the magnitude, the size and the time of an earthquake; and integrating the seismic directories of the potential seismic source regions to obtain a seismic directory on the whole seismic zone. The invention creatively proposes that the seismic activity on the seismic zone integrally meets the Poisson distribution (time independent model) in statistical significance, and meanwhile, the potential seismic source region locally adopts a large seismic time correlation model, so that the whole and the local are organically combined, the accuracy and the practicability of seismic random event set simulation are greatly improved, and the method has a good application prospect.
Owner:INST OF GEOPHYSICS CHINA EARTHQUAKE ADMINISTRATION
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