A new method of estimating wavelet with desired features from a given signal

Signal Processing

Volumn 85, Issue 1, 2005, Pages 147-161

  Gupta, Anubha ^a   Joshi, Shiv Dutt ^b   Prasad, Surendra ^b  

^a NETAJI SUBHAS INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Matched wavelet; Multiresolution analysis; Perfect reconstruction FIR IIR biorthogonal filter bank

Indexed keywords

IMAGE RECONSTRUCTION; METHOD OF MOMENTS; OPTIMIZATION; PROJECTION SYSTEMS; WAVE FILTERS; WAVELET TRANSFORMS;

FREQUENCY CHANNELS; MATCHED WAVELET; MULTIRESOLUTION ANALYSIS; PERFECT RECONSTRUCTION FIR/IIR BIOORTHOGONAL FILTER BANK;

SIGNAL PROCESSING;

EID: 9944227163     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2004.09.008     Document Type: Article

References (34)

1. P. Abry, A. Aldroubi, Designing multiresolution analysis-type wavelets and their fast algorithms, J. Fourier Anal. Appl. 2 (2) (1995) 135-159.
2. A. Aldroubi, M. Unser, Families of multiresolution and wavelet spaces with optimal properties, Numer. Func. Anal. 14 (5-6) (1993) 417-446.
3. J.O. Chapa, R.M. Rao, Algorithm for designing wavelets to match a specified signal, IEEE Trans. Signal Process. 48 (12) (2000) 3395-3406.
4. T. Chen, P.P. Vaidyanathan, Vector space framework for unification of one- and multidimensional filter bank theory, IEEE Trans. Signal Process. 42 (8) (1994) 2006-2021.
5. A. Cohen, I. Daubechies, J.C. Feauveau, Biorthogonal bases of compactly supported wavelets, Commun. Pur. Appl. Math. 45 (1992) 485-560.
6. I. Daubechies, Orthonormal bases of compactly supported wavelets, Commun. Pur. Appl. Math. 41 (11) (1988) 909-996.
7. R.A. Gopinath, C.S. Burrus, An Introduction to Wavelets and Wavelet Transform, Prentice-Hall, Englewood Cliffs, NJ, 1998.
8. R.A. Gopinath, J.E. Odegard, C.S. Burrus, Optimal wavelet representation of signals and wavelet sampling theorem, IEEE Trans. Circuits Syst. II 41 (4) (1994) 262-277.
9. A. Gupta, S.D. Joshi, S. Prasad, On a new approach for estimating wavelet matched to signal, in: Proceedings of Eighth National Conference on Communications, IIT Bombay, 2002, pp. 180-184.
10. A. Gupta, S.D. Joshi, S. Prasad, A new method of estimating compactly supported wavelet with desired support and vanishing moments from a given signal, in: Proceedings of LASTED Conference SPPRA-2003, Greece, 2003, pp. 119-124.
11. A. Gupta, S.D. Joshi, S. Prasad, A new method of estimating infinitely supported wavelet from a given signal, in: Proceedings of IASTED Conference SPPRA-2003, Greece, 2003, pp. 125-129.
12. C. Herley, M. Vetterli, Wavelets and recursive filter banks, IEEE Trans. Signal Process. 41 (8) (1991) 2536-2556.
13. H. Krim, D. Tucker, S. Mallat, D.L. Donoho, On denoising and best signal representation, IEEE Trans. Inf. Theory 45 (7) (1999) 2225-2238.
14. S. Mallat, A theory for multiresolution signal decomposition, IEEE Trans. PAMI 11 (7) (1989) 674-693.
15. S. Mallat, Multifrequency channel decompositions of images and wavelet models, IEEE Trans. Acoust. Speech Signal Process. 37 (12) (1989) 2091-2110.
16. S. Mallat, Z. Zhang, Matching pursuits with tune-frequency dictionaries, IEEE Trans. Signal Process. 41 (12) (1993) 3397-3415.
17. T.Q. Nguyen, P.P. Vaidyanathan, Two channel perfect reconstruction FIR QMF structures which yield linear phase FIR analysis and synthesis filters, IEEE Trans. Acoust. Speech Signal Process. 37 (5) (1989) 676-690.
18. T.A. Ramstad, IIR filter bank for subband coding of images, in: Proceedings of IEEE International Symposium on Circuits and Systems, Helsinki, Finland, 1988, pp. 827-830.
19. H.L. Resnikoff, R.O. Wells, Jr., Wavelet Analysis: The Scalable Structure of Information, Springer, Berlin, 1998.
20. E.A.B, da Silva, M. Ghanbari, On the performance of linear phase wavelet transforms in low bit-rate image coding, IEEE Trans. Image Process. 5 (5) (1996) 689-704.
21. M.J.T. Smith, IIR analysis/synthesis systems, in: J.W. Woods (Ed.), Subband Coding of Images, Kluwer Academic, Norwell, MA, 1991.
22. M.J.T. Smith, S.L. Eddins, Analysis/synthesis techniques for subband image coding, IEEE Trans. Acoust. Speech Signal Process. 38 (8) (1990) 1446-1456.
23. A.K. Soman, P.P. Vaidyanathan, On orthonormal wavelets and paraunitary filter banks, IEEE Trans. Signal Process. 41 (3) (1993) 1170-1183.
24. A.H. Tewfik, D. Sinha, P. Jorgensen, On the optimal choice of a wavelet for signal representation, IEEE Trans. Inf. Theory 38 (3) (1992) 747-766.
25. M.K. Tsatsanis, G.B. Giannakis. Principal component filter banks for optimal multiresolution analysis, IEEE Trans. Signal Process. 43 (8) (1995) 1766-1777.
26. B.E. Usevitch, A tutorial on modern lossy wavelet image compression: foundations of JPEG 2000, IEEE Signal Process. Mag. (9) (2001) 22-35.
27. P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice-Hall, Englewood Cliffs, NJ, 1993.
28. P.P. Vaidyanathan, T. Chen, Role of anticausal inverses in multirate filter banks - part I: system-theoretic fundamentals, IEEE Trans. Signal Process. 43 (5) (1995) 1090-1102.
29. P.P. Vaidyanathan, T. Chen, Role of anticausal inverses in multirate filter banks - part II: the FIR case factorizations, and biorthogonal lapped transforms, IEEE Trans. Signal Process. 43 (5) (1995) 1103-1115.
30. M. Vetterli, Wavelets and Subband Coding, Prentice-Hall, Englewood Cliffs, NJ, 1995.
31. M. Vetterli, Wavelets, approximation, and compression, IEEE Signal Process. Mag. (9) (2001) 59-73.
32. M. Vetterli, C. Herley, Wavelets and filter banks: theory and design, IEEE Trans. Signal Process. 40 (9) (1992) 2207-2232.
33. J.D. Villasenor, B. Belzer, J. Liao, Wavelet filter evaluation for image compression, IEEE Trans. Image Process. 4 (8) (1995) 1053-1060.
34. Wu-Sheng, A. Antoniou, Design of signal-adapted biorthogonal filter banks, IEEE Trans. Circuits Syst. I 48 (1) (2001) 90-102.