Zero-pinning the Bernstein polynomial: A simple design technique for orthonormal wavelets

IEEE Signal Processing Letters

Volumn 12, Issue 12, 2005, Pages 835-838

  Tay, David B H ^a  

^a LA TROBE UNIVERSITY   (Australia)

Author keywords

Bernstein polynomial; Filter banks; Wavelet transform

Indexed keywords

ALGORITHMS; LINEAR EQUATIONS; POLYNOMIALS; WAVELET TRANSFORMS; Z TRANSFORMS;

BERNSTEIN POLYNOMIAL; FILTER BANKS;

FIR FILTERS;

EID: 29144468949     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2005.859511     Document Type: Article

References (10)

1. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1992.
2. R. Ansari, C. Guillemot, and J. F. Kaiser, "Wavelet construction using Lagrange halfband filters," IEEE Trans. Circuits Syst., vol. 38, no. 9, pp. 1116-1118, Sep. 1991.
3. A. N. Akansu, R. A. Haddad, and H. Caglar, "The binomial QMF-wavelet transform for multiresolution signal decomposition," IEEE Trans. Signal Process., vol. 41, no. 1, pp. 13-19, Jan. 1993.
4. M. J. T. Smith and T. P. Barnwell, "Exact reconstruction techniques for tree-structured sub-band coders," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 3, pp. 434-441, Jun. 1986.
5. O. Rioul and P. Duhamel, "A Remez exchange algorithm for orthonormal wavelets," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 41, no. 8, pp. 550-560, Aug. 1994.
6. H. Caglar and A. N. Akansu, "A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation," IEEE Trans. Signal Process., vol. 41, no. 7, pp. 2314-2321, Jul. 1993.
7. D. B. H. Tay, "Two-stage, least squares design of biorthogonal filter banks," Proc. Inst. Elect. Eng., Vis., Image, Signal Process., vol. 149, no. 6, pp. 341-346, Dec. 2002.
8. D. B. H. Tay, "A novel approach to the design of the class triplet halfband filter banks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. 7, pp. 378-383, Jul. 2004.
9. T. Cooklev, A. Nishihara, and M. Sablatash, "Regular orthonormal and biorthogonal wavelet filter," Signal Process., vol. 57, pp. 121-137, 1997.
10. W. Lawton and C. A. Michelli, "Design of conjugate quadrature filters having specified zeros," in Proc. Int. Conf. Acoustics, Speech, Signal Processing, 1997.