Design of orthonormal symmetric wavelet filters using real allpass filters

Signal Processing

Volumn 80, Issue 8, 2000, Pages 1551-1559

  Zhang, Xi ^a   Muguruma, Tomonobu ^a   Yoshikawa, Toshinori ^a  

^a NAGAOKA UNIVERSITY OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK SYNTHESIS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; POLYNOMIALS; WAVELET TRANSFORMS;

ALLPASS FILTER; CLOSED FORM SOLUTION; DEGREES OF FLATNESS; FILTER MAGNITUDE RESPONSE; ORTHONORMAL SYMMETRIC WAVELET FILTER; REMEZ EXCHANGE ALGORITHM;

LOW PASS FILTERS;

EID: 0034250930     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(00)00055-4     Document Type: Article

References (16)

1. Akansu A.N., Smith M.J.T. Subband and Wavelet Transforms: Design and Applications. 1996;Kluwer, Dordrecht.
2. Antonini M., Barlaud M., Mathieu P., Daubechies I. Image coding using wavelet transform. IEEE Trans. Image Process. 1(2):April 1992;205-220.
3. Daubechies I. Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Math. XLI(41):November 1988;909-996.
4. Daubechies I. Ten Lectures on Wavelets. 1992;SIAM, Philadelphia, PA.
5. Herley C., Vetterli M. Wavelets and recursive filter banks. IEEE Trans. Signal Process. 41(8):August 1993;2536-2566.
6. Rioul O., Duhamel P. A Remez exchange algorithm for orthonormal wavelets. IEEE Trans. Circuits Systems - II. 41(8):August 1994;550-560.
7. Selesnick I.W. Formulas for orthogonal IIR wavelet filters. IEEE Trans. Signal Process. 46(4):April 1998;1138-1141.
8. Smith M.J.T., Eddins S.L. Analysis/synthesis techniques for subband image coding. IEEE Trans. Acoust. Speech Signal Process. 38(8):August 1990;1446-1456.
9. Vaidyanathan P.P. Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial. Proc. IEEE. 78(1):January 1990;56-93.
10. Vaidyanathan P.P. Multirate Systems and Filter Banks. 1993;Prentice-Hall, Englewood Cliffs, NJ.
11. Vetterli M., Herley C. Wavelets and filter banks: theory and design. IEEE Trans. Signal Process. 40(9):September 1992;2207-2232.
12. Vetterli M., Kovacevic J. Wavelets and Subband Coding. 1995;Prentice-Hall, Upper Saddle River, NJ.
13. Wei D., Bovik A.C. Generalized coiflets with nonzero-centered vanishing moments. IEEE Trans. Circuits Systems - II. 45(8):August 1998;988-1001.
14. Wei D., Tian J., Wells R.O., Burrus C.S. A new class of biorthogonal wavelet systems for image transform coding. IEEE Trans. Image Process. 7(7):July 1998;1000-1013.
15. Zhang X., Iwakura H. Design of IIR digital filters based on eigenvalue problem. IEEE Trans. Signal Process. 44(6):June 1996;1325-1333.
16. Zhang X., Iwakura H. Design of IIR digital allpass filters based on eigenvalue problem. IEEE Trans. Signal Process. 47(2):February 1999;554-559.