Wigner distribution and associated uncertainty principles in the framework of octonion linear canonical transform

The most recent generalization of octonion Fourier transform (OFT) is the linear canonical (OLCT) that has become popular in present era due to its applications color image and signal processing. On other hand Wigner distribution (WD) analysis cannot be excluded. In this paper, we introduce novel integral coined as domain (WDOL). We first propose definition one dimensional WDOL (1DWDOL), extend relationship with 1DOLCT 1DOFT. Then explore several important properties 1DWDOL, such reconstruction formula, Rayleighs theorem. Second, three (3DWDOL) establish relationships WD associated quaternion LCT (WDQLCT) 3DWD (3DWDLCT). study like theorem Riemann Lebesgue Lemma 3DWDOL. crux paper lies developing well known uncertainty principles (UPs) including Heisenbergs UP, Logarithmic UP Hausdorff Young inequality