Distributed Detection and Estimation in Wireless Sensor Networks

In this article we consider the problems of distributed detection and estimation in wireless sensor networks. In the first part, we provide a general framework aimed to show how an efficient design of a sensor network requires a joint organization of in-network processing and communication. Then, we recall the basic features of consensus algorithm, which is a basic tool to reach globally optimal decisions through a distributed approach. The main part of the paper starts addressing the distributed estimation problem. We show first an entirely decentralized approach, where observations and estimations are performed without the intervention of a fusion center. Then, we consider the case where the estimation is performed at a fusion center, showing how to allocate quantization bits and transmit powers in the links between the nodes and the fusion center, in order to accommodate the requirement on the maximum estimation variance, under a constraint on the global transmit power. We extend the approach to the detection problem. Also in this case, we consider the distributed approach, where every node can achieve a globally optimal decision, and the case where the decision is taken at a central node. In the latter case, we show how to allocate coding bits and transmit power in order to maximize the detection probability, under constraints on the false alarm rate and the global transmit power. Then, we generalize consensus algorithms illustrating a distributed procedure that converges to the projection of the observation vector onto a signal subspace. We then address the issue of energy consumption in sensor networks, thus showing how to optimize the network topology in order to minimize the energy necessary to achieve a global consensus. Finally, we address the problem of matching the topology of the network to the graph describing the statistical dependencies among the observed variables.Comment: 92 pages, 24 figures. To appear in E-Reference Signal Processing, R. Chellapa and S. Theodoridis, Eds., Elsevier, 201

On Uniformly Most Powerful Decentralized Detection

The theory behind Uniformly Most Powerful (UMP) composite binary hypothesis testing is mature and well defined in centralized detection where all observations are directly accessible at one central node. However, within the area of decentralized detection, UMP tests have not been researched, even though tests of this nature have properties that are highly desirable. The purpose of this research is to extend the UMP concept into decentralized detection, which we define as UMP decentralized detection (UMP-DD). First, the standard parallel decentralized detection model with conditionally independent observations will be explored. This section will introduce theorems and corollaries that define when UMP-DD exists and provide counterintuitive examples where UMP-DD tests do not exist. Second, we explore UMP-DD for directed single-rooted trees of bounded height. We will show that a binary relay tree achieves a Type II error probability exponent that is equivalent to the parallel structure even if all the observations are not identically distributed. We then show that the optimal configuration can also achieve UMP-DD performance, while the tandem configuration does not achieve UMP-DD performance. Finally, we relax the assumption of conditional independence and show under specific constraints that both the parallel and binary relay tree configurations can still be UMP-DD. Throughout, examples will be provided that tie this theoretical work together with current research in fields such as Cognitive Radio

Massive MIMO for Wireless Sensing with a Coherent Multiple Access Channel

We consider the detection and estimation of a zero-mean Gaussian signal in a wireless sensor network with a coherent multiple access channel, when the fusion center (FC) is configured with a large number of antennas and the wireless channels between the sensor nodes and FC experience Rayleigh fading. For the detection problem, we study the Neyman-Pearson (NP) Detector and Energy Detector (ED), and find optimal values for the sensor transmission gains. For the NP detector which requires channel state information (CSI), we show that detection performance remains asymptotically constant with the number of FC antennas if the sensor transmit power decreases proportionally with the increase in the number of antennas. Performance bounds show that the benefit of multiple antennas at the FC disappears as the transmit power grows. The results of the NP detector are also generalized to the linear minimum mean squared error estimator. For the ED which does not require CSI, we derive optimal gains that maximize the deflection coefficient of the detector, and we show that a constant deflection can be asymptotically achieved if the sensor transmit power scales as the inverse square root of the number of FC antennas. Unlike the NP detector, for high sensor power the multi-antenna ED is observed to empirically have significantly better performance than the single-antenna implementation. A number of simulation results are included to validate the analysis.Comment: 32 pages, 6 figures, accepted by IEEE Transactions on Signal Processing, Feb. 201

Cooperative retransmission protocols in fading channels : issues, solutions and applications

Future wireless systems are expected to extensively rely on cooperation between terminals, mimicking MIMO scenarios when terminal dimensions limit implementation of multiple antenna technology. On this line, cooperative retransmission protocols are considered as particularly promising technology due to their opportunistic and flexible exploitation of both spatial and time diversity. In this dissertation, some of the major issues that hinder the practical implementation of this technology are identified and pertaining solutions are proposed and analyzed. Potentials of cooperative and cooperative retransmission protocols for a practical implementation of dynamic spectrum access paradigm are also recognized and investigated. Detailed contributions follow. While conventionally regarded as energy efficient communications paradigms, both cooperative and retransmission concepts increase circuitry energy and may lead to energy overconsumption as in, e.g., sensor networks. In this context, advantages of cooperative retransmission protocols are reexamined in this dissertation and their limitation for short transmission ranges observed. An optimization effort is provided for extending an energy- efficient applicability of these protocols. Underlying assumption of altruistic relaying has always been a major stumbling block for implementation of cooperative technologies. In this dissertation, provision is made to alleviate this assumption and opportunistic mechanisms are designed that incentivize relaying via a spectrum leasing approach. Mechanisms are provided for both cooperative and cooperative retransmission protocols, obtaining a meaningful upsurge of spectral efficiency for all involved nodes (source-destination link and the relays). It is further recognized in this dissertation that the proposed relaying-incentivizing schemes have an additional and certainly not less important application, that is in dynamic spectrum access for property-rights cognitive-radio implementation. Provided solutions avoid commons-model cognitive-radio strict sensing requirements and regulatory and taxonomy issues of a property-rights model

Secrecy Constrained Distributed Inference in Wireless Sensor Networks

Comprised of a large number of low-cost, low-power, mobile and miniature sensors, wireless sensor networks are widely employed in many applications, such as environmental monitoring, health-care, and diagnostics of complex systems. In wireless sensor networks, the sensor outputs are transmitted across a wireless communication network to legitimate users such as fusion centers for final decision-making. Because of the wireless links across the network, the data are vulnerable to security breaches. For many applications, the data collected by local sensors are extremely sensitive, and care must be taken to prevent that information from being leaked to any malicious third parties, e.g., eavesdroppers. Eavesdropping is one of the most significant threats to wireless sensor networks, where local sensors are tapped by an eavesdropper in order to intercept information. I considered distributed inference in the presence of a global, greedy and informed eavesdropper who has access to all local node outputs rather than access. My goal is to develop secured distributed systems against eavesdropping attacks using a physical-layer security approach instead of cryptography techniques because of the stringent constraints on sensor networks energy and computational capability. The physical-layer security approach utilizes the characteristics of the physical layer, including transmission channels noises, and the information of the source. Additionally, physical-layer security for distributed inference is scalable due to the low computational complexity. I first investigate secrecy constrained distributed detection under both Neyman-Pearson and Bayesian frameworks. I analyze the asymptotic detection performance and proposed a novel way of analyzing the maximum performance trade-off using Kullback-Leibler divergence ratio between the fusion center and eavesdropper. Under the Neyman-Pearson framework, I show that the eavesdropper\u27s detection performance can be limited such that her decision-making is no better than random guessing; meanwhile, the detection performance at the fusion center is guaranteed at the prespecified level. Similar analyses and proofs are provided under the Bayesian framework, where it was shown that an eavesdropper can be constrained to an error probability level equal to her prior information. Additionally, I derive the asymptotic error exponent and show that asymptotic perfect secrecy and asymptotic perfect detection are possible by increasing the number of sensors under both frameworks if the fusion center has noiseless channels to the sensors. For secrecy constrained distributed estimation, I conducted similar analysis under both a classical setting and Bayesian setting. I derived the maximum achievable secrecy performance and show that under the condition that the eavesdropper has noisy channels and the fusion center has noiseless channels, both asymptotic perfect secrecy and asymptotic perfect estimation can be achieved under a classical setting. Similarly, under a Bayesian setting, I derived the performance trade-off using Fisher information ratio and show that the fusion center outperforms the eavesdropper significantly in the simulation section. Secrecy constrained in distributed inference with Rayleigh fading binary symmetric channel is considered as well. Similarly, I derive the maximum achievable secrecy performance ratio for both detection and estimation. The maximum achievable trade-off turns out to be almost the same in distributed estimation as in distributed detection. This suggests that a universal framework for generally structured inference problems are feasible. Further investigations are needed to justify this conjecture for more general applications