Proceedings ArticleDOI
Efficient signal coding with hierarchical lapped transforms
H.S. Malvar
- pp 1519-1522
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TLDR
The hierarchical lapped transform has a much lower computational complexity than a tree-structured QMF filter bank, and so with HLTs a much larger number of bands can be used in practice.Abstract:
The hierarchical lapped transform (HLT) is defined. It is based on the modulated lapped transform (MLT). The HLT has a much lower computational complexity than a tree-structured QMF filter bank, and so with HLTs a much larger number of bands can be used in practice. The coding gain of HLTs is close to that of a full-length MLT, for the same number of bands, and therefore there is no significant loss of coding efficiency. With HLTs transient signals can be better reconstructed than with nonhierarchical transforms, as demonstrated by speech and image coding examples. In image coding applications, the HLT can also be used for progressive transmission. >read more
Citations
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Perceptual coding of digital audio
T. Painter,Andreas Spanias +1 more
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The transforms and applications handbook
TL;DR: Poularikas et al. as discussed by the authors proposed the Hartley Transform, Kraig J. Olejniczak, University of Arkansas, Fayetteville Laplace Transforms, Samuel Seely (deceased), Westbrook, Connecticut The Z-Transform, Alexander D. Poularis et al., University of Alabama in Huntsville Hilbert Transform, Stefan L. Hahn, Warsaw University of Technology Radon and Abel Transforms.
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Biorthogonal and nonuniform lapped transforms for transform coding with reduced blocking and ringing artifacts
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References
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The Laplacian Pyramid as a Compact Image Code
Peter J. Burt,Edward H. Adelson +1 more
TL;DR: A technique for image encoding in which local operators of many scales but identical shape serve as the basis functions, which tends to enhance salient image features and is well suited for many image analysis tasks as well as for image compression.
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Subband coding of images
John W. Woods,S. O'Neil +1 more
TL;DR: A simple yet efficient extension of this concept to the source coding of images by specifying the constraints for a set of two-dimensional quadrature mirror filters for a particular frequency-domain partition and showing that these constraints are satisfied by a separable combination of one-dimensional QMF's.
Journal ArticleDOI
The LOT: transform coding without blocking effects
TL;DR: An exact derivation of an optimal lapped orthogonal transform (LOT) is presented, related to the discrete cosine transform (DCT) in such a way that a fast algorithm for a nearly optimal LOT is derived.