Lifting wavelet transform with exact results for exact input
LiftingWaveletTransform[data]
LiftingWaveletTransform[data, wave]
LiftingWaveletTransform[data, wave, r]
LiftingWaveletTransform[{56, 40, 8, 24, 48, 48, 40, 16}]
→ DiscreteWaveletData[{{0} -> {67.88225099390857, 22.627416997969522, 67.88225099390857, 39.59797974644666}, {1} -> {-11.313708498984761, 11.313708498984761, 0., -16.970562748477143}, {0, 0} -> {64.00000000000001, 76.00000000000001}, {0, 1} -> {-32.00000000000001, -20.000000000000007}, {0, 0, 0} -> {98.99494936611669}, {0, 0, 1} -> {8.485281374238571}}, HaarWavelet[], LiftingWaveletTransform, {8}]dwd = LiftingWaveletTransform[{1, 1, 3, 3}]
→ DiscreteWaveletData[{{0} -> {1.4142135623730951, 4.242640687119286}, {1} -> {0., 0.}, {0, 0} -> {4.000000000000001}, {0, 1} -> {2.0000000000000004}}, HaarWavelet[], LiftingWaveletTransform, {4}]dwd = LiftingWaveletTransform[{1, 1, 3, 3}, Method -> "IntegerLifting"]
→ DiscreteWaveletData[{{0} -> {1.4142135623730951, 4.242640687119286}, {1} -> {0., 0.}, {0, 0} -> {4.000000000000001}, {0, 1} -> {2.0000000000000004}}, HaarWavelet[], LiftingWaveletTransform, {4}]- Method — default Automatic
- Padding — default "Periodic"
- WorkingPrecision — default MachinePrecision