Biorthogonal M-band filter construction using the lifting scheme

Numerical Algorithms

Volumn 22, Issue 1, 1999, Pages 53-72

  Lazzaro, Damiana ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Biorthogonal M band filters; Efficient analysis synthesis algorithm; Image compression; Lifting scheme

Indexed keywords

EID: 0033447314     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019198522129     Document Type: Article

References (13)

1. M. Barnabei, C. Guerrini and L.B. Montefusco, Some algebraic aspects of signal processing, Linear Algebra Appl. 284 (1998) 3-17.
2. M. Barnabei and L.B. Montefusco, Recursive properties of Toeplitz and Hurwitz matrices, Linear Algebra Appl. 274 (1998) 367-388.
3. I. Daubechies and W. Sweldens, Factoring wavelet transforms into lifting steps, Technical Report, Bell Laboratories, Lucent Technologies (1996).
4. P.N. Heller, Rank M wavelets with N vanishing moments, SIAM J. Matrix Anal. Appl. 16 (1995) 502-519.
5. A.A.C. Kalker and I.A. Shah, On ladder structures and linear phase conditions for multidimensional biorthogonal filter banks, Technical Report, Philips Research Laboratories, Eindhoven.
6. A.A.C. Kalker and I.A. Shah, Ladder structures for multidimensional linear phase perfect reconstruction filter banks and wavelets, in: Visual Communications, ed. S.P. Singh, Proceeding of SPIE (1992) pp. 711-722.
7. J. Kovacevic and W. Sweldens, Wavelet families of increasing order in arbitrary dimensions, submitted to IEEE Trans. Image Processing (1997).
8. L.B. Montefusco and D. Lazzaro, Discrete orthogonal transform and M-band wavelets for image compression, in: Surface Fitting and Multiresolution Methods, eds. L. Schumaker, A. Le Méhauté and C. Rabut (Vanderbilt Univ. Press, 1997) pp. 261-270.
9. W. Sweldens, The lifting scheme: A custom-design construction of biorthogonal wavelets, Appl. Comput. Harmon. Anal. 3 (1996) 186-200.
10. J. Tian and R. Wells, A fast implementation of wavelet transform for M-band filter banks, in: Wavelet Application V, ed. H.H. Szu, Proceeding of SPIE (1998) pp. 534-545.
11. P.P. Vaidyanathan, Multirate Systems and Filter Banks (Prentice-Hall, Englewood Cliffs, NJ, 1992).
12. M. Vetterli and C. Herley, Wavelets and filter banks: Theory and design, IEEE Trans. Signal Processing 40 (1992).
13. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding (Prentice-Hall, Englewood Cliffs, NJ, 1995).