一种基于El Gamal加密算法的压缩数据收集方法

压缩感知技术在信号处理、图像处理、数据收集与分析等方面有很大优势，是近年来的研究热点。研究了如何安全高效地运用压缩感知技术来收集无线传感器网络中的数据。传统的基于压缩感知技术的数据收集方法并不考虑数据收集的安全性，而且网络内的所有节点都会参与每个测量值的收集。将El Gamal加密算法和基于稀疏随机矩阵的压缩感知技术相结合，提出了一种基于El Gamal加密算法的稀疏压缩数据收集方法（El Gamal based sparse compressive data gathering，ESCDG）。理论分析和数值实验表明，ESCDG不仅能降低网络资源的消耗而且能抵御多项式算力的内部攻击和外部攻击。

A compressive data gathering method based on El Gamal cryptography

As a hot researching area,compressive sensing has advantages in signal process,image processing and data gathering and analysis.How to effectively and safely apply compressive sensing technology to collect data in wireless sensor networks is studied.Conventional compressive sensing technology based data collection method does not consider the security issue.Furthermore,every nod in the network must participate in the process of collecting measurements.The El Gamal cryptography and sparse matrices based compressive sensing technology were combined,and the El Gamal based sparse compressive data gathering (ESCDG) method was proposed.Theoretical analysis and numerical experiments show that ESCDG not only decreases the network resource consumption but also be able to defense the internal and external attacks.