BUILT-IN MATHEMATICA SYMBOL
LiftingFilterData
LiftingFilterData[...]
represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.
- LiftingFilterData can be produced by WaveletFilterCoefficients from different wavelet families.
- The following wavelet families can be used: BiorthogonalSplineWavelet, CDFWavelet, CoifletWavelet, DaubechiesWavelet, HaarWavelet, ReverseBiorthogonalSplineWavelet, SymletWavelet.
- LiftingFilterData can be used to generate standalone functions that compute forward and inverse lifting wavelet transforms.
- Properties fprop to dynamically generate functions that compute a lifting transform:
-
| "ForwardLiftingFunction" | function representing forward lifting transform |
| "InverseLiftingFunction" | function representing inverse lifting transform |
| "ForwardIntegerLiftingFunction" | function representing forward integer lifting transform |
| "InverseIntegerLiftingFunction" | function representing inverse integer lifting transform |
- LiftingFilterData[{fprop, {e, c, d}}] can be used to specify the formal variables in the generated function, where e is the input vector, c is the coarse coefficient vector, and d is the detail coefficient vector.
- LiftingFilterData[fprop, Compiled->copts] can be used to generate a compiled function, where copts are the option values accepted by Compiled.
- Properties related to generating formatted lifting transform equations:
-
| "ForwardLiftingTable" | forward lifting transform equations |
| "InverseLiftingTable" | inverse lifting transform equations |
| "ForwardIntegerLiftingTable" | forward integer lifting transform equations |
| "InverseIntegerLiftingTable" | inverse integer lifting transform equations |
- Properties lprop related to lifting factorization:
-
| "LiftingLaurentForm" | Laurent form representation of lifting equations |
| "LiftingMatrixList" | matrix form representation of lifting equations |
| "LiftingMatrixForm" | formatted matrix form representation of lifting equations |
| "PolyphaseMatrix" | polyphase representation of wavelet family |
- LiftingFilterData[{lprop, z}] can be used to specify the formal variable in the resulting polynomial and rational formulas.
- Properties related to input wavelet:
-
| "DualHighpass" | dual highpass filter coefficients |
| "DualLowpass" | dual lowpass filter coefficients |
| "PrimalHighpass" | primal highpass filter coefficients |
| "PrimalLowpass" | primal lowpass filter coefficients |
| "Wavelet" | wavelet family used |
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