A Novel Approach to the Design of the Class of Triplet Halfband Filterbanks

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 51, Issue 7, 2004, Pages 378-383

  Tay, David B H ^a   Palaniswami, M ^b  

^a LA TROBE UNIVERSITY   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Filter banks; finite impulse resnonse (FIR) digital filters; halfband filters; wavelet transforms

Indexed keywords

DIGITAL FILTERS; FREQUENCY DOMAIN ANALYSIS; FREQUENCY RESPONSE; HIGH PASS FILTERS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; LOW PASS FILTERS; OPTIMIZATION; POLYNOMIALS; TRANSFER FUNCTIONS; WAVELET TRANSFORMS; Z TRANSFORMS;

MULTIQUADRATIC FUNCTION; PARAMETRIC BERNSTEIN POLYNOMIAL; TRIPLET HALFBAND FILTERBANK;

FIR FILTERS;

EID: 3543034014     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2004.831430     Document Type: Article

References (13)

1. R. Ansari, C.W. Kim, and M. Dedovic, “Structure and design of two-channel filterbanks derived from a triplet of halfband filters,” IEEE Trans. Circuits Syst. II, vol. 46, pp. 1487-1496, Dec. 1999.
2. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
3. P.P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
4. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
5. G. Strang and T. Nguyen, Wavelets and Filter Banks. New York: Wellesley-Cambridge, 1996.
6. S.M. Phoong, C.W. Kim, P.P. Vaidyanathan, and R. Ansari, “A new class of two-channel biorthogonal filterbanks and wavelet bases,” IEEE Trans. Signal Processing, vol. 43, p. 649, Mar. 1995.
7. D.B.H. Tay, “Two-stage, least squares design of biorthogonal filterbanks,” in Proc. IEEE Symp. Circuits Systems, vol. 1, 2000, pp. 591-594.
8. D.B.H. Tay and N.G. Kingsbury, “Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables,” IEEE Trans. Image Processing, vol. 2, pp. 460-AU: ending page?, Oct. 1993.
9. N.G. Kingsbury, “Shift invariant properties of the dual-tree complex wavelet transform,” in Proc. ICASSP, vol. 3, 1999, pp. 1221-1224.
10. N. Kingsbury, “Complex wavelets for shift invariant analysis and filtering of signals,” J. Appl. Comput. Harmon. Analy., vol. 10, no. 3, pp. 234-253, 2001.
11. H. Caglar and A.N. Akansu, “Ageneralized parametric PR-QMF design technique based on Bernstein polynomial approximation,” IEEE Trans. Signal Processing, vol. 41, p. 2314, July 1993.
12. T. Cooklev, A. Nishihara, and M. Sablatash, “Regular orthonormal and biorthogonal wavelet filter,” Signal Processing, vol. 57, pp. 121-137, 1997.
13. D.B.H. Tay, “Design of filterbanks/wavelets using TROV: A survey,” Digital Signal Processing, vol. 7, no. 4, pp. 229-238, 1997.