<p>The polar wavelet transform (PWT) has emerged as a promising tool for obtaining directional representations of signals in higher dimensions. However, the conventional PWT exhibits limitations in effectively capturing directional information with optimal localization. To address this issue, we propose the polar linear canonical wavelet transform (PLCWT), which leverages the advantages of the linear canonical transform (LCT) for efficient representation of signals whose energy is poorly localized in the Fourier domain. The preliminary analysis of the proposed transform is carried out using the framework of operator theory and the LCT. Furthermore, to broaden the scope of our investigation, we study the boundedness of the associated localization operators and examine various uncertainty principles related to the PLCWT in detail.</p>