中文摘要：

主要关注非线性相位单位解析信号的一些新进展,推广了传统的Shannon采样定理,使得它对于非带限信号也成立.首先将带限信号空间推广,使得任一信号都与推广的空间有关,而这个推广的空间与事先构造的三角波有关,这样就得到了对于一般信号的采样定理.

英文摘要：

This study concerned on some new development of unit analytic signals with nonlinear phase.It included triangle shape filter,generalized Sinc function based on nonlinear Fourier atoms,generalized sampling theorem for Non-bandlimited Signals.Firstly,introduced the triangle shape filter and gave its impulse response,Secondly,we established a Shannon type sampling theorem based on geneeralizde Sinc function for this type of non-bandlimited signals.