- Two-Dimensional Analytic Signal Construction
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- 论文类型： 会议论文
- 发表时间： 2016-01-01
- 收录刊物： CPCI-S
- 页面范围： 883-887
- 关键字： Analytic Signal; Quaternion; Quaternionic Fourier Transform (QFT)
- 摘要： This paper provides a brief overview of the approaches for two-dimensional analytic signal construction. According to the basis of definition for one-dimensional analytic signal, a set of desirable properties is determined as the guideline to measure a new definition for two-dimensional analytic signal. To appreciate this guideline, several important definitions are brought out, such as total analytic signal, partial analytic signal and Hahn's two-dimensional analytic signal, etc. It is a pity that these definitions cannot satisfy the main properties in the guideline. A chance to solve this problem is provided by the quaternion theory. Based on the Quaternionic Fourier Transform (QFT), a novel definition called quaternionic analytic signal is introduced. This novel definition fulfills most properties in the guideline.
