The application of compressed sensing in wireless sensor network

Abstract

This paper firstly introduces the compressed sensing theory that is very hot in recent research. Our research combines the compressed sensing with wireless sensor network to improve the prior classical formulas due to the great advantage of capabilities of compressing data in large scale wireless network. When the transmission data decrease sharply, the throughput increases obviously in our research models. The traditional analysis of capacity can be revised to the order of Θ(√nW ÷ M √log n) in our network mechanism. Meanwhile the ideal lower bound is approximate to Θ(W÷M). The two results bound the capacity in wireless sensor network with the help of compressed sensing theory. At last, we analyze the delay in this system. Queuing theory facilitates our analysis, thus the result 1 ÷ µ − λ can help us for the further future work.