Research On Compressed Sensing And The Application In UWB Channel Estimation

Ultra-wideband is a kind of communication with many advantages and compressed sensing theory provided an opportunity for the development of ultra-wideband. Compressed sensing theory has been confirmed that could improve the performance of the communication system, and also has been paid wide attention. In this paper, this technology will be used in ultra-wideband channel estimation with a positive contribution and significance.In this paper, based on compressive sensing theory, ultra-wideband channel will be accurately estimated by using ultra-wideband channel sparse characteristics for the channel parameter estimation. Theoretical analysis and experimental simulation support it. It has important theoretical and practical significance to construct safe and practical algorithm. The main works are as follows:Firstly, UWB channel estimation based on Logistic chaos sequence was proposed according to the pseudo-random property of chaos sequence. A Bayesian Compressed Sensing (BCS) mathematical model is presented. Theoretical analysis and simulation results show that under the same conditions, the proposed method shows better anti-noise ability and recovery accuracy than those of the traditional reconstruction algorithm. Comparing with other types of measure matrixes, it is feasible and effective by low SNR and times of measurements analysis. Moreover, the new matrix is easier implementable and channel estimates are more stable.Secondly, based on fast-RVM Distributed Bayesian Compressed Sensing (DBCS) was analyzed and optimized. This algorithm solves the shortcoming of the traditional Bayesian on the multi-user UWB system. By using the statistical relation among the channels for multi-user, the distributed compressive sensing signal model based on fast-RVM corresponding to multi-user UWB channel model is constructed, and the multi-user signal processing frame corresponding to the distributed Bayesian compressive sensing reconstruction algorithm is built. The simulation results show that the proposed method reduces the times of measurements for channel estimation of multi-user UWB system.Also, the method performance analysis of algorithm for signal reconstruction provides a new direction for the future research when chaos measurement matrix is used in the UWB channel modeling.