biorinfo.m
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上传日期：2013-01-09
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- function biorinfo
- %BIORINFO Information on biorthogonal spline wavelets.
- %
- % Biorthogonal Wavelets
- %
- % General characteristics: Compactly supported
- % biorthogonal spline wavelets for which
- % symmetry and exact reconstruction are possible
- % with FIR filters (in orthogonal case it is
- % impossible except for Haar).
- %
- % Family Biorthogonal
- % Short name bior
- % Order Nr,Nd Nr = 1 , Nd = 1, 3, 5
- % r for reconstruction Nr = 2 , Nd = 2, 4, 6, 8
- % d for decomposition Nr = 3 , Nd = 1, 3, 5, 7, 9
- % Nr = 4 , Nd = 4
- % Nr = 5 , Nd = 5
- % Nr = 6 , Nd = 8
- %
- % Examples bior3.1, bior5.5
- %
- % Orthogonal no
- % Biorthogonal yes
- % Compact support yes
- % DWT possible
- % CWT possible
- %
- % Support width 2Nr+1 for rec., 2Nd+1 for dec.
- % Filters length max(2Nr,2Nd)+2 but essentially
- % bior Nr.Nd ld lr
- % effective length effective length
- % of Lo_D of Hi_D
- %
- % bior 1.1 2 2
- % bior 1.3 6 2
- % bior 1.5 10 2
- % bior 2.2 5 3
- % bior 2.4 9 3
- % bior 2.6 13 3
- % bior 2.8 17 3
- % bior 3.1 4 4
- % bior 3.3 8 4
- % bior 3.5 12 4
- % bior 3.7 16 4
- % bior 3.9 20 4
- % bior 4.4 9 7
- % bior 5.5 9 11
- % bior 6.8 17 11
- %
- % Regularity for
- % psi rec. Nr-1 and Nr-2 at the knots
- % Symmetry yes
- % Number of vanishing
- % moments for psi dec. Nr
- %
- % Remark: bior 4.4 , 5.5 and 6.8 are such that reconstruction and
- % decomposition functions and filters are close in value.
- %
- % Reference: I. Daubechies,
- % Ten lectures on wavelets,
- % CBMS, SIAM, 61, 1994, 271-280.
- %
- % See Information on reverse biorthogonal spline wavelets.
- % M. Misiti, Y. Misiti, G. Oppenheim, J.M. Poggi 12-Mar-96.
- % Last Revision: 08-Oct-1999.
- % Copyright 1995-2002 The MathWorks, Inc.
- % $Revision: 1.13 $
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