Impact of Thresholding on Signal Processing Performance with Applications
In this paper the approximation behavior of the Shannon sampling series is analyzed for the Paley-Wiener space PW1π,if the samples are disturbed by the nonlinear threshold operator.This operator sets all samples,whose absolute value is smaller than some threshold,to zero.It is shown that the peak approximation error can grow arbitrarily large,independently of how small the threshold is.However,if oversampling is applied and an appropriate kernel is chosen,then the reconstructed signal converges to the original signal,uniformly on the whole real axis,as the threshold goes to zero.Furthermore,we analyze the approximation behavior if not the signal itself is to be reconstructed but the output of some stable linear time invariant system.In particular,we show for the Hilbert transform that the peak approximation error is unbounded,even if oversampling is applied.
Holger Boche Ullrich J.M(o)nich
Fraunhofer German-Sino Lab for Mobile Communications (MCI),Berlin,Germany;Technische Universitat Ber Technische Universitat Berlin,Heinrich Hertz Chair for Mobile Communications
国际会议
9th International Conference on Signal Processing(第九届国际信号处理学术会议)(ICSP08)
北京
英文
2008-10-26（万方平台首次上网日期，不代表论文的发表时间）