In engineering practice, including signal compression sensing, image processing, and speech processing, the construction of wavelet and framelet systems becomes important.In particular, the construction problem of orthogonal wavelets and tight framelets is transferred to the Paraunitary Filter Bank(PUFB) design problem based on the unitary extension principle and the oblique extension principle.In the context of designing a symmetric paraunitary filter bank with a fast implementation framework, we are interested in the parameterization of a symmetric paraunitary filter bank based on the...