Some standard 1D filter kernels. These are scaled such that their L2-norm is 1.0.
binomN – binomial coefficient filter of order N-1
haar: – Haar wavelet.
qmf8, qmf12, qmf16 – Symmetric Quadrature Mirror Filters [Johnston80]
daub2,daub3,daub4 – Daubechies wavelet [Daubechies88].
qmf5, qmf9, qmf13: – Symmetric Quadrature Mirror Filters [Simoncelli88,Simoncelli90]
[Johnston80] – J D Johnston, “A filter family designed for use in quadrature mirror filter banks”, Proc. ICASSP, pp 291-294, 1980.
[Daubechies88] – I Daubechies, “Orthonormal bases of compactly supported wavelets”, Commun. Pure Appl. Math, vol. 42, pp 909-996, 1988.
[Simoncelli88] – E P Simoncelli, “Orthogonal sub-band image transforms”, PhD Thesis, MIT Dept. of Elec. Eng. and Comp. Sci. May 1988. Also available as: MIT Media Laboratory Vision and Modeling Technical
[Simoncelli90] – E P Simoncelli and E H Adelson, “Subband image coding”, Subband Transforms, chapter 4, ed. John W Woods, Kluwer Academic Publishers, Norwell, MA, 1990, pp 143–192.