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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lattice factorization-based symmetric paraunitary matrix extension

Lattice factorization-based symmetric paraunitary matrix extension

Choi, Pyongil
Ri, Chiwon
Pak, Duyong

Paperback

General Mathematics

ISBN10: 620884827X
ISBN13: 9786208848279
Publisher: Scholars' Press
Published: Aug 8 2025
Pages: 196
Weight: 0.59
Height: 0.45 Width: 6.00 Depth: 9.00
Language: English
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 lattice factorization of a polyphase matrix.In this lattice factorization there are unitary matrices corresponding to the order of the polyphase matrix, which can be chosen arbitrarily.Hence, this book presents a new proposal for symmetric paraunitary matrix extension that provides a fast implementation framework with lattice factorization-based parameterization.Based on these methods, we also consider methods for constructing symmetric orthogonal wavelets and symmetric tight framelets that satisfy the shortest support condition.

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