Reference health
Factoring wavelet transforms into lifting steps
39/39 checkable references clean · checked 2026-08-29
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
20 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 39 checked references that resolve
resolves10.1080/01630569308816532
Families of multiresolution and wavelet spaces with optimal properties
resolves10.1007/BF01198006
Banded matrices with banded inverses, II: Locally finite decomposition of spline spaces
resolves10.1109/76.538930
Wavelet video coding with ladder structures and entropy-constrained quantization
resolves10.1512/iumj.1985.34.34041
resolves10.1137/0515056
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
resolves10.1117/12.131363
<title>Ladder structures for multidimensional linear-phase perfect reconstruction filter banks and wavelets</title>
resolves10.1109/ICASSP.1993.319464
U-L block-triangular matrix and ladder realizations of subband coders
resolves10.1109/29.17560
Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters
resolves10.1109/ICASSP.1994.390060
On ladder structures and linear phase conditions for bi-orthogonal filter banks
resolves10.1109/TASSP.1986.1164832
Exact reconstruction techniques for tree-structured subband coders
resolves10.1006/acha.1996.0015
The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets
resolves10.1109/TASSP.1987.1165155
Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property
resolves10.1109/29.1491
Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks
resolves10.1109/29.32282
Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices
The 20 references without a DOI — listed, not checked
no DOI — not checkedH. Bass. Algebraic K-theory. W. A. Benjamin, Inc., New York, 1968.
no DOI — not checkedR. E. Blahut. Fast Algorithms for Digital Signal Processing. Addison-Wesley, Reading, MA, 1984.
no DOI — not checkedC. K. Chui. An Introduction to Wavelets. Academic Press, San Diego, CA, 1992.
no DOI — not checkedC. K. Chui, L. Montefusco, and L. Puccio, editors. Conference on Wavelets: Theory, Algorithms, and Applications. Academic Press, San Diego, CA, 1994.
no DOI — not checkedJ. M. Combes, A. Grossmann, and Ph. Tchamitchian, editors. Wavelets: Time-Frequency Methods and Phase Space. Inverse problems and theoretical imaging. Springer-Verlag, New York, 1989.
no DOI — not checkedW. Dahmen, S. Prössdorf, and R. Schneider. Multiscale methods for pseudo-differential equations on smooth manifolds. In [9], pages 385–424. 1994.
no DOI — not checkedD. L. Donoho. Interpolating wavelet transforms. Preprint, Department of Statistics, Stanford University, 1992.
no DOI — not checkedB. Hartley and T. O. Hawkes. Rings, Modules and Linear Algebra. Chapman and Hall, New York, 1983.
no DOI — not checkedA. K. Jain. Fundamentals of Digital Image Processing. Prentice Hall, 1989.
no DOI — not checkedN. S. Jayant and P. Noll. Digital coding of waveforms. Prentice Hall, Englewood Cliffs, NJ, 1984.
no DOI — not checkedS. G. Mallat. Multiresolution approximations and wavelet orthonormal bases of L2(ℜ211D;). Trans. Amer. Math. Soc., 315(1):69–87, 1989.
no DOI — not checkedT. G. Marshall. A fast wavelet transform based upon the Euclidean algorithm. In Conference on Information Science and Systems, Johns Hopkins, MD, 1993.
no DOI — not checkedY. Meyer. Ondelettes et Opérateurs, I: Ondelettes, II: Opérateurs de Calderón-Zygmund, III: (with R. Coifman), Opérateurs multilinéaires. Hermann, Paris, 1990. English translation of first volume, Wavelets and Operators, is published by Cambridge University Press, 1993.
no DOI — not checkedH.-J. Park. A computational theory of Laurent polynomial rings and multidimensional FIR systems. PhD thesis, University of California, Berkeley, May 1995.
no DOI — not checkedL.-M. Reissell. Wavelet multiresolution representation of curves and surfaces. CVGIP: Graphical Models and Image Processing, 58(2):198–217, 1996.
no DOI — not checkedG. Strang and T. Nguyen. Wavelets and Filter Banks. Wellesley, Cambridge, 1996.
no DOI — not checkedW. Sweldens and P. Schröder. Building your own wavelets at home. In Wavelets in Computer Graphics, pages 15–87. ACM SIGGRAPH Course notes, 1996.
no DOI — not checkedJ. Tian and R. O. Wells. Vanishing moments and biorthogonal wavelet systems. In Mathematics in Signal Processing IV. Institute of Mathematics and Its Applications Conference Series, Oxford University Press, 1996.
no DOI — not checkedM. Vetterli and J. Kovaucević. Wavelets and Subband Coding. Prentice Hall, Englewood Cliffs, NJ, 1995.
no DOI — not checkedY. Wang, M. Orchard, A. Reibman, and V. Vaishampayan. Redundancy rate-distortion analysis of multiple description coding using pairwise correlation transforms. In Proc. IEEE ICIP, volume I, pages 608–611, 1977.
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