rbioinfo.m
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上传日期:2013-01-09
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- function rbioinfo
- %RBIOINFO Information on reverse biorthogonal spline wavelets.
- %
- % Reverse 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 rbio
- % Order Nd,Nr Nd = 1 , Nr = 1, 3, 5
- % r for reconstruction Nd = 2 , Nr = 2, 4, 6, 8
- % d for decomposition Nd = 3 , Nr = 1, 3, 5, 7, 9
- % Nd = 4 , Nr = 4
- % Nd = 5 , Nr = 5
- % Nd = 6 , Nr = 8
- %
- % Examples rbio3.1, rbio5.5
- %
- % Orthogonal no
- % Biorthogonal yes
- % Compact support yes
- % DWT possible
- % CWT possible
- %
- % Support width 2Nd+1 for rec., 2Nr+1 for dec.
- % Filters length max(2Nd,2Nr)+2 but essentially
- % rbio Nd.Nr lr ld
- % effective length effective length
- % of Hi_D of Lo_D
- %
- % rbio 1.1 2 2
- % rbio 1.3 6 2
- % rbio 1.5 10 2
- % rbio 2.2 5 3
- % rbio 2.4 9 3
- % rbio 2.6 13 3
- % rbio 2.8 17 3
- % rbio 3.1 4 4
- % rbio 3.3 8 4
- % rbio 3.5 12 4
- % rbio 3.7 16 4
- % rbio 3.9 20 4
- % rbio 4.4 9 7
- % rbio 5.5 9 11
- % rbio 6.8 17 11
- %
- % Regularity for
- % psi rec. Nd-1 and Nd-2 at the knots
- % Symmetry yes
- % Number of vanishing
- % moments for psi dec. Nd
- %
- % Remark: rbio 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 biorthogonal spline wavelets.
- % M. Misiti, Y. Misiti, G. Oppenheim, J.M. Poggi 12-Mar-1998.
- % Last Revision: 09-Nov-2001.
- % Copyright 1995-2002 The MathWorks, Inc.
- % $Revision: 1.10 $ $Date: 2002/04/14 19:37:37 $