Analysis and Improvement of Actual Sampling System in Fractional Fourier Transform Domain
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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。Abstract: 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.
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