General solution of certain matrix equations arising in filter design applications

DOI10.1016/j.laa.2009.09.023zbMath1191.15013OpenAlexW2108107774MaRDI QIDQ848589

N. E. Zubov

Publication date: 4 March 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.09.023

zbMATH Keywords

spectral factorizationmatrix equationsfilter designorthogonal complex filterparaunitary complex filterpolynomial Bézout equationrectangular Toeplitz matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Polynomials in real and complex fields: factorization (12D05) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Noniterative design of 2-channel FIR orthogonal filters
• A new general expression for 2-channel FIR paraunitary filterbanks
• Factoring wavelet transforms into lifting steps
• Ten Lectures on Wavelets