摘要
目前广泛应用的希尔伯特变换器是用有限冲激响应(FIR)数字滤波器实现的，但它的阶数较高。因而提出采用通用参数滤波器作为基本单元，结合希尔伯特变换器的设计理论，构成IIR型希尔伯特变换器设计的新方案。
本文分为三章：
第一章为通用参数滤波器的基本理论部分，介绍了抽样率转换和数字滤波器组的基本概念，多速率信号处理的基本概念和理论，数字滤波器组的基本知识，是第二章的理论基础。第二章为基于通用参数滤波器的IIR型希尔伯特变换器的分析部分，引入了具有能考虑相位特性的通用参数滤波器作为构成单元，在导师刘泽民教授的指导下，提出了一种希尔伯特变换器的新方案，本章给出了详细的分析过程。第三章介绍了IIR型希尔伯特变换器的设计过程，最后进行了仿真验证。
第二章和第三章是论文的主要内容。
The Hilbert Transformer used at present adopt Finite Impulse Response(FIR) digital filter which used as a Pulse Shaping Filter popularly at present has the disadvantages such as high orders.So we present a new approach to design the IIR Hilbert Transformer,whose basic unit is general parameter filter.This paper has been divided into three parts. Part 1, the basic theories of multirate digital signal processing and digital filter banks have been reviewed. On the basis of Part 1,Part 2 - IIR Hilbert Transformer theory is introduced.Part 2,Using the general parameter filter which can consider the phase character as the unit of orthogonal filter banks,we present a new method for designing IIR Hilbert Transformer with the guidance of the professor Zemin Liu.To prove this theory's facility,the simulation results are given as follow.Part 3, we make a simulation to verify it.Part 2 and Part 3 are the central contents of this article.
引文
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