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Design of almost symmetric orthogonal wavelet filter bank via direct optimization
It is a well-known fact that (compact-support) dyadic wavelets [based on the two channel filter banks (FBs)] cannot be simultaneously orthogonal and symmetric. Although orthogonal wavelets have the energy preservation property, biorthogonal wavelets are preferred in image processing applications because of their symmetric property. In this paper, a novel method is presented for the design of almost symmetric orthogonal wavelet FB. Orthogonality is structurally imposed by using the unnormalized lattice structure, and this leads to an objective function, which is relatively simple to optimize. The designed filters have good frequency response, flat group delay, almost symmetric filter coefficients, and symmetric wavelet function.
History
Journal
IEEE transactions on image processingVolume
21Issue
5Pagination
2474 - 2480Publisher
Institute of Electrical and Electronics EngineersLocation
Piscataway, N.J.Publisher DOI
ISSN
1057-7149eISSN
1941-0042Language
engPublication classification
C Journal article; C1.1 Refereed article in a scholarly journalCopyright notice
2012, IEEEUsage metrics
Keywords
AlgorithmsImage EnhancementImage Interpretation, Computer-AssistedReproducibility of ResultsSensitivity and SpecificitySignal Processing, Computer-AssistedWavelet AnalysisScience & TechnologyTechnologyComputer Science, Artificial IntelligenceEngineering, Electrical & ElectronicComputer ScienceEngineeringOrthogonal filter banks (FBs)symmetric waveletswavelet transformArtificial Intelligence and Image Processing
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