关于希尔伯特变换的分析和研究

Analysis and Research on Hilbert Transform

首先从数学定义上直观地分析希尔伯特变换 ,接着讨论了离散希尔伯特变换的基本原理 ,并研究如何利用有限冲激响应滤波器 ( FIR)设计方案来实现该变换。最后 ,举例说明希尔伯特变换在数字 I-Q下变频器中的应用 。

Since discrete Hilbert transform can produce I-Q channels with high balance,it has been broadly applied in many systems which demand using signal orthogonal decomposition technique, including communications, radar, voice processing and so on. This paper analyzes Hilbert transform from the mathematics definition at first, and then discusses the basic principle of discrete Hilbert transform and studies how to implement the transform by using FIR filter design scheme. Finally, the application of discrete Hilbert transform in digital I-Q frequency down-converter is showed by giving a example in order that students have a good grasp of the concept.