工程采样系统的分数阶傅里叶域分析与改进  

Analysis and Improvement of Actual Sampling System in Fractional Fourier Transform Domain

作　　者：鲁溟峰[1,2] 张峰[1] 倪国强[2] 陶然[1] 

机构地区：[1]北京理工大学信息与电子学院,北京100081 [2]北京理工大学光电学院,北京100081

出　　处：《电子与信息学报》2013年第9期2094-2099,共6页Journal of Electronics & Information Technology

基　　金：国家杰出青年科学基金(60625104);国家自然科学基金(61201354)资助课题

摘　　要：采样和重构是信号处理的基本问题。已有的分数阶傅里叶域采样理论是对理想的采样系统进行分析的,工程中的A/D和D/A转换是基于采样保持电路实现的,该文在分数阶傅里叶域对采样保持系统进行分析,提出一个可行的工程采样和重构模型,该模型仅需在传统采样保持系统上增加两级乘法器就可实现。所得结果进一步完善了分数阶傅里叶域采样定理,为分数阶傅里叶域采样定理的实用化提供了理论基础。Sampling and reconstruction is a basic issue in signal processing. The known sampling theory in the FRactional Fourier Transform （FRFT） domain is based on the analysis of ideal sampling system. The actual Analog-to-Digital conversion is implemented through sample-and-hold circuits. This paper analyzes the actual sample-and-hold system in the FRFT domain, and then makes a feasible sample and reconstruction model. This model can be realized by adding two multipliers to the traditional sample-and-hold system. The result obtained in this paper makes the sampling theorem for the FRFT domain more perfect, and provides the theoretical foundation for practical implementation of sampling theorem in the FRFT domain.

关 键 词：信号处理 分数阶傅里叶变换 采样保持系统 重构 

分 类 号：TN911.7[电子电信—通信与信息系统]