Regular wavelets: a discrete-time approach

Regularity is a new filter property, brought by wavelet theory, for perfect reconstruction octave-band filter banks. Tools for investigating its role in coding applications are provided. First, discrete-time interpretations and optimal estimates of regularity are reviewed. Then, a simple design proc...

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 41; no. 12; pp. 3572 - 3579
Main Author Rioul, O.
Format Journal Article
LanguageEnglish
Published IEEE 01.12.1993
Institute of Electrical and Electronics Engineers
Subjects
Computer Science
Discrete wavelet transforms
Engineering Sciences
Filter bank
Filtering theory
Finite impulse response filter
Frequency measurement
Image coding
Image recognition
Image reconstruction
Low pass filters
Rate-distortion
Signal and Image Processing
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Summary:Regularity is a new filter property, brought by wavelet theory, for perfect reconstruction octave-band filter banks. Tools for investigating its role in coding applications are provided. First, discrete-time interpretations and optimal estimates of regularity are reviewed. Then, a simple design procedure for paraunitary FIR filter banks with optimal trade-off between frequency selectivity and regularity is given. Finally, the obtained filters are used to measure the effect of regularity versus frequency selectivity in a still image compression scheme with optimized rate-distortion. In this case, regularity is shown to be more relevant than frequency selectivity, especially for short filters.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1053-587X
1941-0476
DOI:10.1109/78.258100