小波空间中采样理论研究  

Study on sampling theory for wavelet space

作　　者：王建新[1] 徐艳国[1] 谭雪琴[1] 

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094

出　　处：《电路与系统学报》2007年第6期99-103,共5页Journal of Circuits and Systems

基　　金：南京理工大学科研发展基金资助项目(AB96021)

摘　　要：本文研究了小波理论在非带限信号采样中的应用,分析了Walter子波空间采样定理及其突破Nyquist率限制的理论依据;介绍了在信号恢复的过程中可以避免无限冲激响应滤波器出现的周期性非均匀采样及导数采样理论,并以紧支信号为例分别进行了仿真验证。The application of wavelet theory in non-band limited sampling is studied in this paper. It analyzes Waiter＇s sampling theorem and the theory base beyond the Nyquist rate. Then it introduces periodical nonuniform sampling and derivatives sampling theorem, which uses FIR filter, rather than IIR filter, during the reconstruction. Simulation results are given for the sampling and reconstruction of compactly supported signals.

关 键 词：小波空间 采样定理 非均匀采样 非带限信号 

分 类 号：TN911.21[电子电信—通信与信息系统]