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线性正则变换与模糊函数的关系研究

Relations between Linear Canonical Transform and Ambiguity Function
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摘要 线性正则变换是一种有效的信号处理工具,它是Fourier变换、分数阶Fourier变换更为广义的形式.模糊函数又称联合时频相关函数,是研究雷达信号的主要工具.从线性正则变换的定义出发,利用模糊函数的性质并借助于线性正则变换矩阵分解形式揭示和推导了线性正则变换与模糊函数的关系,给出了仿真实例和几何图形解释,为进一步研究线性正则变换在雷达信号分析中的应用奠定了理论基础. The linear canonical transform is a useful tool for signal processing. It is the generalization of the Fourier transform and the fractional Fourier transform. The ambiguity function can be interpreted as a joint timefrequency correlation function. It is an important and common tool used to analyze signals in radar applications. In this paper, from the definition of the linear canonical transform and some special cases, using the properties of the ambiguity function,
作者 向强
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期549-553,共5页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(60603009)资助项目 西南民族大学校级基金对本文的资助
关键词 线性正则变换 信号处理 模糊函数 WIGNER分布 linear canonical transform signal processing ambiguity function Wigner distribution
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