A Sampling Theorem for Wavelet Subspaces

IEEE Transactions on Information Theory

Volumn 38, Issue 2, 1992, Pages 881-884

  Walter, Gilbert G ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

reproducing kernel; Riesz basis; Shannon sampling theorem; wavelets

Indexed keywords

INFORMATION THEORY; MATHEMATICAL TECHNIQUES - CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL TRANSFORMATIONS; SPECTRUM ANALYSIS;

HAAR SYSTEM; MULTIRESOLUTION ANALYSIS; REPRODUCING KERNELS; RIESZ BASIS; SHANNON SAMPLING THEOREM; WAVELET SUBSPACES;

SIGNAL PROCESSING;

EID: 0026624017     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.119745     Document Type: Article

References (5)

1. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Comm. Pure Appl. Math., vol. 41, pp. 909–996, 1988.
2. C. E. Heil and D. F. Walnut, “Continuous and discrete wavelet transforms,” SIAM Rev., vol. 31, pp. 628–666, 1989.
3. M. Z. Nashed and G. G. Walter, “General sampling theorems for functions in reproducing kernel Hilbert spaces,” Math. Control Signals Syst., vol. 4, pp. 373–412, 1991.
4. G. Walter, “Approximation of the delta function by wavelets,” to appear in J. Approx. Theory, 1991.
5. R. Young, An Introduction to Non-Harmonic Fourier Series. New York: Academic, 1980.