Short Wavelets and Matrix Dilation Equations

IEEE Transactions on Signal Processing

Volumn 43, Issue 1, 1995, Pages 108-115

  Strang, Gilbert ^a   Strela, Vasily ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; HIGH PASS FILTERS; INTERPOLATION; LOW PASS FILTERS; MATRIX ALGEBRA; SIGNAL THEORY;

FILTER BANK; ITERATED INTERPOLATION; MATRIX DILATION EQUATIONS; ORTHOGONAL WAVELETS; SCALING FUNCTIONS;

ELECTRIC FILTERS;

EID: 0029207792     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.365291     Document Type: Article

References (12)

1. J. S. Geronimo, D. P. Hardin, and P. R. Massopust, “Fractal functions and wavelet expansions based on several scaling functions,” J. Approx. Theory, vol. 78, pp, 373-401, 1994.
2. G. Donovan, J. S. Geronimo, D. P. Hardin, and P. R. Massopust, “Construction of orthogonal wavelets using fractal interpolation functions,” SIAM J. Math. Ana!., to appear.
3. I. Daubechies, Ten Lectures on Wavelets. Philadelphia: SIAM, 1992.
4. G. Strang, “Wavelet transforms versus Fourier transforms,” Bull. Amer. Math. Soc., vol. 28, pp. 288-305, 1993.
5. “Wavelets and dilation equations: A brief introduction,” SIAM Rev., vol. 31, pp. 614-627, 1989.
6. G. Strang and G. Fix, An Analysis of the Finite Element Method. Wellesley, MA: Wellesley-Cambridge Press, 1973.
7. G. Strang and V. Strela, “Orthogonal multiwavelets with vanishing moments,” in Proc. SPIE (Orlando, FL), Apr. 1994.
8. T. N. T. Goodman and S. L. Lee, “Wavelets of multiplicity r,” preprint.
9. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1993.
10. O. Rioul and M. Vetterli, “Wavelets and signal processing,” IEEE Signal Processing Mag., vol. 8, pp. 14-38, 1991.
11. M. Vetterli and D. J. LeGall, “Perfect reconstruction FIR filter banks: Some properties and factorizations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 1057-1071, 1989.
12. G. Strang and T. Nguyen, Wavelets and Filter Banks. Wellesley, MA: Wellesley-Cambridge Press, 1995.