Optimal Power Constrained Distributed Detection over a Noisy Multiaccess Channel

Zhiwen Hu,Zhenhua Xu

doi:10.1155/2015/580289

Abstract

The problem of optimal power constrained distributed detection over a noisy multiaccess channel (MAC) is addressed. Under local power constraints, we define the transformation function for sensor to realize the mapping from local decision to transmitted waveform. The deflection coefficient maximization (DCM) is used to optimize the performance of power constrained fusion system. Using optimality conditions, we derive the closed-form solution to the considered problem. Monte Carlo simulations are carried out to evaluate the performance of the proposed new method. Simulation results show that the proposed method could significantly improve the detection performance of the fusion system with low signal-to-noise ratio (SNR). We also show that the proposed new method has a robust detection performance for broad SNR region.

Highlights

Distributed detection of phenomenon of interest constitutes an important application of wireless sensor networks
Simulation results show that the proposed method could significantly improve the detection performance of the fusion system with low signal-to-noise ratio (SNR)
The problem of optimal power constrained distributed detection over a noisy multiaccess channel has been studied in this paper

Summary

Introduction

Distributed detection of phenomenon of interest constitutes an important application of wireless sensor networks. In [11], when the whole system is subjected to a total average power constraint in noisy and band-limited channels, it showed that it is better to combine as many local decisions as possible rather than only relying on a few very good local decisions in the case of deterministic signal detection They have shown that the optimal power allocation is determined by the qualities of the local decisions of the sensors and the communication channels. In [16], it was shown that, in addition to vastly improved bandwidth efficiency, MAC fusion with optimal local mapping rules yields better detection performance as measured by error exponents compared with PAC fusion under the same transmission power constraint. The stringent power constraint of local sensor is an important issue; we are motivated to study the distributed detection fusion problem under power constraints of local sensors over noisy multiaccess channel

System Model

Distributed Detection via Deflection Coefficient Maximization

Numerical Simulation and Analysis

Findings

Conclusions