Factoring perfect reconstruction filter banks into causal lifting matrices: a Diophantine approach

DOI10.1016/j.jaca.2024.100024MaRDI QIDQ6671810

Publication date: 27 January 2025

Published in: Journal of Computational Algebra (Search for Journal in Brave)

causality wavelet transform Euclidean algorithm digital signal processing Diophantine equation filter bank polyphase matrix causal complementation elementary matrix decomposition lifting factorization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Matrices over function rings in one or more variables (15A54) Source coding (94A29) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

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