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Introducing phase correlation into the course of signals and systems

机译:在信号和系统过程中引入相位相关性

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Phase correlation has been widely used in many areas, such as, time delay estimation, motion estimation for video coding, and image registration. The fundamental of phase correlation is some basic properties of the Fourier Transform. It is proposed in this paper to introduce phase correlation into the course of signals and systems, and it is suggested that phase correlation be taught just on finishing the following properties of the Fourier Transform: linearity, time shifting, frequency shifting, scaling and symmetry. In this paper, phase correlation is proved as one property (called as phase correlation property) of the Fourier Transform, and examples are used to demonstrate the efficiency of the time delay estimation method based on the phase correlation property, even when noises exist in the delayed version of the original signal. Some problems for homework are also provided. These contents were first taught experimentally in two classes including 73 students, at Yangtze University in the Spring of 2010, and the results are satisfactory.
机译:相位相关已广泛用于许多领域,例如时延估计,视频编码的运动估计和图像配准。相位相关的基础是傅立叶变换的一些基本属性。本文提出将相位相关性引入信号和系统的过程中,并建议仅在完成傅立叶变换的以下特性(线性度,时移,频移,缩放和对称性)时教授相位相关性。在本文中,相位相关被证明是傅立叶变换的一个特性(称为相位相关特性),并且使用示例演示了基于相位相关特性的时延估计方法的效率,即使在噪声存在的情况下也是如此。原始信号的延迟版本。还提供一些作业方面的问题。这些内容首先于2010年春季在长江大学的73名学生的两个班级中进行了实验教学,结果令人满意。

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