Discrete Wavelet Transform

URI: https://gptkb.org/entity/Discrete_Wavelet_Transform
GPTKB entity
Statements (53)
Predicate Object
gptkbp:instanceOf Signal processing technique
gptkbp:abbreviation gptkb:DWT
gptkbp:advantage Sparsity
Multi-resolution analysis
Efficient computation
Time-frequency localization
gptkbp:analyzes Time localization
Frequency components
gptkbp:appliesTo 2D images
1D signals
3D data
gptkbp:basisFor gptkb:Embedded_Zerotree_Wavelet_(EZW)
gptkb:Set_Partitioning_in_Hierarchical_Trees_(SPIHT)
gptkb:JPEG_2000
gptkbp:category gptkb:Mathematics
gptkb:signal_processing
Image processing
Data compression
Time-frequency analysis
gptkbp:computes Approximation coefficients
Detail coefficients
gptkbp:decomposes gptkb:illustrator
Signal
Time series
gptkbp:designer Inverse Discrete Wavelet Transform
gptkbp:hasProperty Compact support (for some wavelets)
Orthogonality (for some wavelets)
Perfect reconstruction
https://www.w3.org/2000/01/rdf-schema#label Discrete Wavelet Transform
gptkbp:implementedIn gptkb:Lifting_scheme
Filter banks
gptkbp:introducedIn 1988
gptkbp:inventedBy gptkb:Stéphane_Mallat
gptkbp:limitation Poor directionality (in 2D)
Shift variance
gptkbp:relatedStandard gptkb:CCSDS_122.0
gptkb:JPEG_2000
gptkbp:relatedTo gptkb:Fourier_Transform
gptkb:Wavelet_transform
gptkb:Continuous_Wavelet_Transform
gptkbp:supportsAlgorithm gptkb:Dual-Tree_Complex_Wavelet_Transform
gptkb:Stationary_Wavelet_Transform
gptkbp:usedIn Feature extraction
Image compression
Denoising
Audio compression
Biomedical signal analysis
gptkbp:uses Mother wavelet
Scaling functions
Wavelet filters
gptkbp:bfsParent gptkb:Wavelet_Transform
gptkb:DWT
gptkbp:bfsLayer 7