Abstract-The Wigner-Ville distribution (WVD) in the offset linear canonical transform (OLCT) domain (WOL) is a tool for signal processing and optics, which has the advantages of the OLCT and good properties of WVD. In this paper, a more simple definition of the WOL is introduced, without changing the instantaneous autocorrelation function to generalization form. Moreover, some new and important properties of the WOL are derived.
Hybrid transforms are constructed by associating the Wigner-Ville distribution (WVD) with widely-known signal processing tools, such as fractional Fourier transform, linear canonical transform, offset linear canonical transform (OLCT), and their quaternion-valued versions. We call them hybrid transforms because they combine the advantages of both transforms. Compared to classical transforms, they show better results in applications. The WVD associated with the OLCT (WVD-OLCT) is a class of hybrid transform that generalizes most hybrid transforms. This chapter summarizes research on hybrid transforms by reviewing a computationally efficient type of the WVD-OLCT, which has simplicity in marginal properties compared to WVD-OLCT and WVD.
Owner: RPA «National Academy of Sciences of the Republic of Kazakhstan» (Almaty). The certificate of registration of a periodical printed publication in the Committee of information of the Ministry of Information and Social Development of the Republic of Kazakhstan No. 16906-Ж, issued 14.02.2018 Thematic scope: series physics and information technology. Currently: included in the list of journals recommended by the CCSES MES RK in the direction of «information and communication technologies». Periodicity: 4 times a year. Circulation: 300 copies.
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