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• W4320913407 abstract "Factorization of matrices of Laurent polynomials plays an important role in mathematics and engineering such as wavelet frame construction and filter bank design. Wavelet frames (a.k.a. framelets) are useful in applications such as signal and image processing. Motivated by the recent development of quasi-tight framelets, we study and characterize generalized spectral factorizations with symmetry for 2×2 matrices of Laurent polynomials. Applying our result on generalized matrix spectral factorization, we establish a necessary and sufficient condition for the existence of symmetric quasi-tight framelets with two generators. The proofs of all our main results are constructive and therefore, one can use them as construction algorithms. We provide several examples to illustrate our theoretical results on generalized matrix spectral factorization and quasi-tight framelets with symmetry." @default.
• W4320913407 created "2023-02-16" @default.
• W4320913407 creator A5000248129 @default.
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• W4320913407 date "2023-07-01" @default.
• W4320913407 modified "2023-10-17" @default.
• W4320913407 title "Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets" @default.
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• W4320913407 doi "https://doi.org/10.1016/j.acha.2023.02.002" @default.
• W4320913407 hasPublicationYear "2023" @default.
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