Sampling theorem for wavelet subspaces: error estimate and irregular sampling

IEEE Transactions on Signal Processing

Volumn 48, Issue 1, 2000, Pages 223-226

  Sun, Wenchang ^a   Zhou, Xingwei ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; ESTIMATION; FOURIER TRANSFORMS; SAMPLING; SIGNAL PROCESSING;

ALIASING ERROR; AMPLITUDE ERROR; ERROR ESTIMATE; IRREGULAR SAMPLING; SAMPLING ERROR; SAMPLING THEOREM; SIGNAL ANALYSIS; TIME JITTER ERROR; TRUNCATION ERROR; WAVELET SUBSPACES;

WAVELET TRANSFORMS;

EID: 0033906383     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.815492     Document Type: Article

References (11)

1. J. J. Benedetto, C. Heil, and D. F. Walnut, "Differentiation and the Balian-Low theorem," J. Fourier Anal. Appl., vol. 1, pp. 355-102, 1995.
2. J. J. Benedetto and D. F. Walnut, "Gabor frames for L2 and related spaces," in Wavelets: Mathematics and Applications, J. J. Benedetto and M. W. Frazier, Eds. Boca Raton, FL: CRC, 1994.
3. C. de Boor, R. deVore, and A. Ron, "The structure of finitely generated shift-invariant subspaces in L2(R2)," J. Fund. Anal, vol. 119, pp. 37-78, 1994.
4. P. L. Butzer, W. Splettstöber, and R. L. Stens, "The sampling theorem and linear prediction in signal analysis," Jber. d.Dt. Math.-Verein, vol. 90, pp. 1-70, 1988.
5. O. Christensen, "A Paley-Wiener theorem for frames," Proc. Amer. Math. Soc.. vol. 123, pp. 2199-2202, 1995.
6. C. K. Chui, An Introduction to Wavelets. New York: Academic, 1992.
7. A. J. E. M. Janssen, "The Zak transform and sampling theorem for wavelet subspaces," IEEE Trans. Signal Processing, vol. 41, pp. 3360-3364, 1993.
8. Y. Liu and G. Walter, "Irregular sampling in wavelet subspaces," J. Fourier Anal. Appl., vol. 2, pp. 181-189, 1995.
9. W. Sun and X. Zhou, "Frames and sampling theorem," Sei. China, vol. 41, pp. 606-612, 1998.
10. G. Walter, "A sampling theorem for wavelet subspaces," IEEE Trans. Inform. Theory, vol. 38, pp. 881-884, 1992.
11. X. Zhou and W. Sun, "On the sampling theorem for wavelet subspaces," J. Fourier Anal. Appl., vol. 5, pp. 351-358, 1999.