The Novel Reconstruction Strategy for Signals with Uncertain Dynamic Properties
For the reconstruction of signals based on a sequence of observations governed by uncertain dynamic properties, we propose a new method by using Taylors formula and tracking differentiators. The method can be summarized as follows: Firstly, for a sequence of observations with uncertain dynamic properties, and/or the measurement contains noise, we use tracking-differentiators to smooth the observation results or filter the noise, and obtain the estimation of their differential values. Secondly, for the reconstruction of the signal nearby the given points, we use Taylors formula to construct the values. Theoretical estimation is provided to guarantee the precision of the relevant reconstruction results. Comparative analysis is also provided to show the advantages of the method. And simulation results for reconstructing certain kinds of observations indicate the effectiveness of the method.
Wei Wang
Department of Mathematics, Information School, Renmin University of China, No.59, Zhongguancun, Beijing 100872, P. R. China
国际会议
2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)
上海
英文
2526-2530
2011-10-15(万方平台首次上网日期,不代表论文的发表时间)