Research On Sampling Theorem For Non-band-limited Signal

Sampling theorem is one of the basic issues of the signal processing,which has drawn lots of researchers' attention.Classic sampling theorem focuses on the band-limited signals.Many researchers had already made further research of the sampling for non-band-limited signal.Based on the current results,this paper shows sampling theorem for non-band-limited signals based on stepped filter.The main work of this thesis can be summarized as foiiows:(1)It introduces the basic knowledge of the signal and signal sampling.Based on the existed band-limited signal,this part introduces the non-band-limited signals'property.(2)Based on the existed sampling for non-band-limited signal,the paper proves the sampling theorem under the following three conditions.① Polynomial step filter;② Two parameter polynomial step filter;③ Rational function step filter.(3)This paper provides the error analysis,Focusing on the sampling theorem for non-band-limited signals.