2008/10/14 by Yura Kozlovskii, Kozlovskii, Yura
Agricultural and Biological Sciences · Engineering · Physics and Astronomy · #Advanced Research in Systems and Signal Processing #Advanced Scientific Research Methods #FOS: Physical sciences #Optical and Acousto-Optic Technologies #Optics (physics.optics) #Popular Physics (physics.pop-ph) #physics.optics #physics.pop-ph
paper · pdf · doi:10.48550/arxiv.0810.2559
arxiv created 2008/10/14 · openalex publication_date 2008/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.