SYMMETRIC LIFTING FACTORIZATION AND MATRIX REPRESENTATION OF BIORTHOGONAL WAVELET TRANSFORMS

DOI10.1142/S0219691303000244zbMath1044.94006MaRDI QIDQ4474558

Yankui Sun

Publication date: 12 July 2004

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

matrix representationlossless compressionEuclidean algorithmpolyphase matrixbiorthogonal wavelet transformsymmetric implementationsymmetric Laurent polynomialsymmetric lifting factorization

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Factorization of matrices (15A23) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (1)

LIFTING CONSTRUCTION OF SPLINE DYADIC WAVELET FILTERS WITH ANY NUMBER OF VANISHING MOMENTS

Cites Work

• Wavelet transforms that map integers to integers
• Automation of the lifting factorisation of wavelet transforms
• Biorthogonal bases of compactly supported wavelets

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