LSFR算法在多传感器分布式检测中的优化研究

在多传感器分布式检测系统中,常规融合规则算法要求传感器误差概率已知,且系统中传感器和融合中心同时优化存在一定困难.提出最小二乘融合规则(LSFR)算法,算法不依赖噪声环境稳定性以及传感器的虚警概率与检测概率,融合中心根据各个传感器的硬决策,得到全局的硬决策,并在传感器和融合中心处理达到最优时,获得最佳全局性能.仿真结果表明:对比似然比融合决策算法与Neyman Pearson融合规则(NPFR)算法,LSFR算法全局检测概率显著提高,且在不同数量规模传感器和更多类型的分布式检测系统中具有较好兼容性.     

Unified fusion rules for multisensor multihypothesis network decision systems

In this paper, we present a fusion rule for distributed multihypothesis decision systems where communication patterns among sensors are given and the fusion center may also observe data. It is a specific form of the most general fusion rule, independent of statistical characteristics of observations and decision criteria, and thus, is called a unified fusion rule of the decision system. To achieve globally optimum performance, only sensor rules need to be optimized under the proposed fusion rule for the given conditional distributions of observations and decision criterion. Following this idea, we present a systematic and efficient scheme for generating optimum sensor rules and hence, optimum fusion rules, which reduce computation tremendously as compared with the commonly used exhaustive search. Numerical examples are given, which support the above results and provide a guideline on how to assign sensors to nodes in a signal detection networks with a given communication pattern. In addition, performance of parallel and tandem networks is compared.     

Optimization of a serial distributed detection system with 2 bits communication constraint

In this paper, we consider a serial distributed detection system of two sensors in which the first sensor is allowed to communicate 2 bits to the second sensor (global detector). We use the J divergence to optimize the system and the optimization is obtained by varying the binary thresholds of the first sensor to obtain the maximum value of the global probability of detection for a specified global probability of false alarm. The numerical results obtained for the J divergence does not satisfy the expected performance improvement. Motivated by this, we propose a new more direct optimization procedure. The numerical results indicate the performance superiority of the proposed procedure over that of the J divergence method. Moreover, the performance of J divergence and the proposed method is better than that of the distributed system in which 1 bit hard decision is communicated between sensors.     

分布式贝叶斯检测融合优化算法及其计算机仿真

该文研究了利用分布式多传感器获得全局决策的分布式信号检测问题。在这种检测系统中各传感器将其各自关于观测对象的决策传送至融合中心,融合中心根据融合规则给出全局决策。研究重点是基于贝叶斯准则的分布式并联检测融合系统的数据融合理论,给出了使系统全局最优的融合规则和传感器决策规则,提出了对融合规则和传感器决策规则进行优化计算的非线性高斯一赛德尔算法,具体讨论了两相同传感器、两个不同传感器和三个相同传感器在具有独立观测时的数据融合问题。给出了利用本文所提算法对上述几种情况进行计算机仿真的仿真实例。仿真结果表明：融合系统的性能相对传感器有显著改善,采用三个相同传感器的融合系统,其贝叶斯风险下降了26．5％。     

On the performance of distributed Neyman-Pearson detection systems

The performance of a distributed Neyman-Pearson detection system is considered. We assume that the decision rules of the sensors are given and that decisions from different sensors are mutually independent conditioned on both hypotheses. The purpose of decision fusion is to improve the performance of the overall system, and we are interested to know under what conditions can a better performance be achieved at fusion center, and under what conditions cannot. We assume that the probabilities of detection and false alarm of the sensors can be different. By comparing the probability of detection at fusion center with that of each of the sensors, with the probability of false alarm at fusion center constrained equal to that of the sensor, we give conditions for a better performance to be achieved at fusion center     

分布式自动删除平均恒虚警率检测技术

根据自动删除平均算法提出了一种新的分布式多传感器的目标检测算法. 在该方法中, 首先根据自动删除平均算法(Censored cell-averaging, CCA)得到各传感器的杂波/噪声电平估计, 然后将检测单元电平与得到的杂波/噪声电平估计值相比较, 得到有无目标的局部判决,并将其传送到融合中心. 融合中心采用"k/N'融合准则得到有无目标的全局判决. 其中, 自动删除平均算法的优势明显, 它不需要干扰的先验信息, 可以容纳的干扰目标数不会像顺序统计量OS (k) (Order statistics)方法那样受指定k值的限制, 更接近实际. 自动删除平均算法还可以检测本身可能是目标的干扰. 在假定目标服从Swerling 2型起伏的情况下, 导出了相应的检测概率与虚警概率解析表达式. 多种检测器数值和图表分析的比较结果表明了该方法的有效性和优越性.     

通信约束下的水声信号分布式检测融合算法研究

针对水声传感器网络中大延迟、低可靠通信约束下的水声信号分布式检测问题，提出了一种基于时间窗口的自适应融合算法．传感器节点依据声纳接收机的特性计算局部判决并发送给融合中心节点．融合中心节点在时间窗口内，基于已收到的局部判决在线自适应地调整融合规则，从而由最优融合算法得到最终判决．通过仿真，讨论了时间窗口的选择问题以及融合算法的性能．仿真结果表明，新算法具有很高的实用性，能够在动态变化的水声通信条件下保证整个系统高效运行．     

分布式检测系统的一种软决策融合算法

在分布式检测系统中,为了进一步提高系统的性能,各传感器可以向融合中心发送多位二进制判决信息.对于这种发送多位判决信息的软决策融合系统,提出了一种对各传感器观测空间进行再划分的方法,它将各传感器的观测空间按照其检测概率和虚警概率进行再划分.这种划分方法能够简化融合中心的计算,且计算机仿真结果表明,应用该方法后融合系统的检测性能有明显的提高.     

Optimal decision f usion given sens or rules

When all the rules of sensor decision are known ,the optimal distributed decision fusion ,which relies only on the joint conditional probability densities , can be derived for very general decision systems. They include those systems with interdependent sensor observations and any network structure. It is also valid for m-ary Bayesian decision problems and binary problems under the Neyman- Pearson criterion. Local decision rules of a sensor with communication from other sensors that are optimal for the sensor itself are also presented ,which take the form of a generalized likelihood ratio test . Numerical examples are given to reveal some interesting phenomena that communication between sensors can improve performance of a senor decision ,but cannot guarantee to improve the global fusion performance when sensor rules were given before fusing.     

Optimal decision fusion given sensor rules

When all the rules of sensor decision are known,the optimal distributed decision fusion,which relies only on the joint conditional probability densities, can be derived for very general decision systems. They include those systems with interdependent sensor observations and any network structure. It is also valid for m-ary Bayesian decision problems and binary problems under the Neyman-Pearson criterion. Local decision rules of a sensor withfrom other sensors that are optimal for the sensor itself are also presented, which take the form of a generalized likelihood ratio test. Numerical examples are given to reveal some interesting phenomem that communication between sensors can improve performance of a senor decision,but cannot guarantee to improve the global fusion performance when sensor rules were given before fusing.     

基于粒子滤波的分布式故障诊断

针对非线性、非高斯环境下多传感器的系统故障诊断问题,提出了一种新的基于粒子滤波的分布式故障诊断方法。通过粒子滤波得到的状态估计值的全概率分布信息可用于故障检测。首先建立系统分布式故障诊断模型,由于通信限制,假设各传感器只能向信息融合中心传输二进制数。在各观测值独立同分布的条件下,提出了分布式故障诊断算法,包括本地判决的设计和融合中心的准则设计。仿真结果表明了所提出算法的有效性和优越性。     

Optimal sensor rules and unified fusion rules for multisensor multi-hypothesis network decision systems with channel errors

In this paper, for general jointly distributed sensor observations, we present optimal sensor rules with channel errors for a given fusion rule. Then, the unified fusion rules problem for multisensor multi-hypothesis network decision systems with channel errors is studied as an extension of our previous results for ideal channels, i.e., people only need to optimize sensor rules under the proposed unified fusion rules to achieve global optimal decision performance. More significantly, the unified fusion rules do not depend on distributions of sensor observations, decision criterion, and the characteristics of fading channels. Finally, several numerical examples support the above analytic results and show some interesting phenomena which can not be seen in ideal channel case.     

Decentralized M-ary detection via hierarchical binary decision fusion

We consider the distributed M-ary detection problem. The M-ary decision-making process is implemented via a sequence of binary decision-making processes. The resulting binary decisions represent a hierarchical partition of the M-ary object space, which is organized in the form of a binary decision tree. This approach breaks a complex M-ary decision fusion problem into a set of much simpler binary decision fusion problems. We first develop a method for partitioning the M-ary object space. We then obtain the optimal decision rules that the fusion center and the sensors employ at the internal nodes of the binary decision tree. The results are illustrated in an example.     

Optimal Kalman filtering fusion with cross-correlated sensor noises

When there is no feedback from the fusion center to local sensors, we present a distributed Kalman filtering fusion formula for linear dynamic systems with sensor noises cross-correlated, and prove that under a mild condition the fused state estimate is equivalent to the centralized Kalman filtering using all sensor measurements, therefore, it achieves the best performance. Then, for the same dynamic system, when there is feedback, a modified Kalman filtering fusion with feedback for distributed recursive state estimators is proposed, and prove that the fusion formula with feedback is, as the fusion without feedback, still exactly equivalent to the corresponding centralized Kalman filtering fusion formula; the various P matrices in the feedback Kalman filtering at both local filters and the fusion center are still the covariance matrices of tracking errors; the feedback does reduce the covariance of each local tracking error.     

Distributed fusion Kalman filtering under binary sensors

Binary sensors are special sensors that only transmit one‐bit information at each time and have been widely applied to environmental awareness and medical monitoring. This paper is concerned with the distributed fusion Kalman filtering problem for a class of binary sensor systems. A novel uncertainty approach is proposed to better extract valid information from binary sensors at switching instant. By minimizing a local estimation error covariance, the local robust Kalman estimates are firstly obtained. Then, the distributed fusion Kalman filter is designed by resorting to the covariance intersection fusion criterion. Finally, a blood oxygen content model is employed to show the effectiveness of the proposed methods.     

无线传感器网络中基于衰减信道的决策融合

无线传感器网络中的链路通信质量对上层应用有重要的影响.为此,本文研究了基于衰减信道的多传感器决策融合问题,提出了最优似然比融合规则,并推导出适用于无线传感器网络的二种次优融合规则,最后讨论了相同传感器和相同信道模型下的融合情况.仿真结果表明此方法能比较好的适应在无线传感器网络中信息融合时所遇到的链路衰减和噪声干扰等问题.     

多传感器分布式信息融合粒子滤波器

针对非线性非Gaussian系统的状态估计问题,提出一种基于信息融合的多传感器分布式粒子滤波算法。该算法首先利用粒子滤波方法分别计算局部传感器的状态估值,再应用分布式标量加权融合准则对状态估值进行信息融合。仿真结果表明和单传感器情形相比可提高滤波的精度。     

Distributed decision fusion under nonideal communication channels with adaptive topology

Multi-sensor decision fusion has attracted some attention in information fusion field, meanwhile, the distributed target detection has been a well-studied topic in the multi-sensor detection theory. This paper investigates the increase in detection reliability that an adaptive network (with adaptive topologies and nonideal channels and decision fusion rules) can provide, compared with a fixed topology network. We consider a network, consisting of K-local uncertainty sensors and a Fusion Center (FC) tasked with detecting the presence or absence of a target in the Region of Interest (ROI). Sensors transmit binary modulated local decisions over nonideal channels modeled as Gaussian noise or fading channels. Assuming that the signal intensity emitted by a target follows the isotropic attenuation power model, we consider three classes of network topology architectures: (1) serial topology; (2) tree topology, and (3) parallel topology. Under the Neyman–Pearson (NP) criterion, we derive the optimal threshold fusion rule with adaptive topology to minimize the error probability. Extensive simulations are conducted to validate the correctness and effectiveness of the proposed algorithms.     

Unexpected properties and optimum-distributed sensor detectors fordependent observation cases

Optimum-distributed signal detection system design is studied for cases with statistically dependent observations from sensor to sensor. The common parallel architecture is assumed. Here, each sensor sends a decision to a fusion center that determines a final binary decision using a nonrandomized fusion rule. General L sensor cases are considered. A discretized iterative algorithm is suggested that can provide approximate solutions to the necessary conditions for optimum distributed sensor decision rules under a fixed fusion rule. The algorithm is shown to converge in a finite number of iterations, and the solutions obtained are shown to approach the solutions to the original problem, without discretization, as the variable step size shrinks to zero. In the formulation, both binary and multiple-bit sensor decisions cases are considered. Illustrative numerical examples are presented for two-, three-, and four-sensor cases, in which a common random Gaussian signal is to be detected in Gaussian noise     

衰落信道对无线传感器网络决策融合的影响分析

户外环境监测中的无线信道非常复杂,受到多径衰落和噪声等多重因素的影响,严重降低了信号的接收质量。对衰落信道特性的深入研究,有助于网络更好地接收信号,提高系统检测性能。详细分析了信道衰落的影响因子,研究了衰落信道下信号的传输性能,仿真了衰落信道对无线传感器网络检测概率的影响,得出了决策融合中节点上传决策的最佳位数。仿真结果表明,衰落信道下的检测概率较理想信道有较大差距,且上传一位决策值是最佳融合策略。