高斯信号的互空频分布
Mutual space-frequency distribution of Gaussian signal
摘要：
提出了互空频分布，并证明了Wigner和Weyl分布函数只是这些分布的特例。给出了高斯信号的互分布的解析表达式。建立了Wigner分布和Weyl分布之间的简单联系。结果表明，Wigner分布是Weyl分布在共轭坐标$(x;p)$的信息图上的旋转位移，旋转角与互参数$t$成正比.给出了高斯信号在互域中的互分布的直接计算结果。
英文摘要：
Mutual space-frequency distribution is proposed and it is shown that Wigner and Weyl distribution functions are only particular cases of these distribution. Mutual distribution for Gaussian signal is analytically obtained. The simple connection between Wigner and Weyl distributions is established. It is shown that Wigner distribution forms as the rotational displacement of Weyl distribution on informational diagram of conjugate coordinates $(x;p)$ on an angle proportional to the mutual parameter $t$. The results of direct calculations of mutual distribution for Gaussian signal in the mutual domain are presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
