Least squares design of orthonormal wavelets via the zero-pinning technique

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 3, Issue , 2006, Pages

  Tay, David B H ^a  

^a LA TROBE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FIR FILTERS; FREQUENCY RESPONSE; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS;

ORTHONORMAL WAVELETS; PARAMETRIC BERNSTEIN POLYNOMIALS; STOPBAND RESPONSE; VANISHING MOMENTS;

WAVELET ANALYSIS;

EID: 33947711715     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. D. B. H. Tay, "Zero-Pinning the Bernstein Polynomial: A Simple Design Technique for Orthonormal Wavelets," IEEE Trans. Signal Proc. Letters, vol. 12, no. 12, pp. 835-838, December 2005.
2. I. Daubechies, Ten Lectures on Wavelets. Society for Industrial and Applied Maths., 1992.
3. M. J. T. Smith and T. P. Barnwell, "Exact reconstruction techniques for tree-structured sub-band coders," IEEE Trans. Acoust. Speech Signal Proc., vol. 34, no. 3, p. 434, June 1986.
4. O. Rioul and P. Duhamel, "A Remez Exchange Algorithm for Orthonormal Wavelets," IEEE Trans. Circuits and Systems - II: Analog and Digital Signal Processing, vol. 41, no. 8, p. 550, August 1994.
5. H. Caglar and A. N. Akansu, "A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation," IEEE Trans. Signal Proc., vol. 41, no. 7, p. 2314, July 1993.
6. W. H. Press, S. A. Teukolsky, and W. T. V. B. P. Flannery, Numerical Recipes in C, 2nd ed. Cambridge University Press, 1992.
7. D. B. H. Tay, "Two-stage, least squares design of biorthogonal filter banks," IEE Proc. - Vision, Image and Signal Processing, vol. 149, no. 6, pp. 341-346, December 2002.
8. D. B. H. Tay and M. Palaniswami, "A Novel Approach to the Design of the Class Triplet Halfband Filter Banks," IEEE Trans. Circuits and Systems - II: Express Briefs, vol. 51, no. 7, pp. 378-383, July 2004.