Flexible tree-structured signal expansions using time-varying wavelet packets

IEEE Transactions on Signal Processing

Volumn 45, Issue 2, 1997, Pages 333-345

  Xiong, Zixiang ^a   Ramchandran, Kannan ^a   Herley, Cormac ^a   Orchard, Michael T ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; PROBLEM SOLVING; TIME VARYING SYSTEMS; TREES (MATHEMATICS); WAVELET TRANSFORMS;

DOUBLE TREE ALGORITHM; FLEXIBLE TREE STRUCTURED SIGNAL EXPANSIONS; TIME FREQUENCY TREE ALGORITHM; TIME VARYING WAVELET PACKETS;

DIGITAL SIGNAL PROCESSING;

EID: 0031077325     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.554299     Document Type: Article

References (30)

1. [ l ] P.P. Vaidyanathan, Multirate Systems and Filter Banks. Engle wood Cliffs, NJ: Prentice-Hall, 1992
2. T. W. Hungerford, Algebra. New York: Springer-Verlag, 1974
3. K. R. Rao and P. Yip, Discrete Cosine Transform. New York: Academic, 1990
4. ISO/IEC CD 10918-1, Digital Compression and Coding of ContinuousTone Still Images, Part I : Requirements and Guidelines, Mar. 15, 1991
5. ISO/IEC DIS 11172, Coding of Moving Pictures and Associated Audio for Digital Storage Media Up to About 1.5 Mbits/s, 1992
6. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression. Norwell, MA: Kluwer, 1992
7. I. Daubechies, "Orthonormal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. XLI, pp. 909-996, 1988
8. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992
9. P. P. Vaidyanathan, "Quadrature mirror filter banks, M-band extensions and perfect-reconstruction technique," IEEEASSP Mag., vol. 4, p. 4-20, July 1987.
10. M. Vetterli and C. Herley, "Wavelet and filter banks: theory and design, IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
11. R. Coifman and V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Trans. Inform. Theory, vol. 38, pp 713-718, Mar. 1992.
12. R. Coifman, Y. Meyer, and V. Wickerhauser, "Wavelet analysis and signal processing," in Wavelets and Their Applications. Boston, MA: Jones and Bartlett, 1992, pp. 153-178
13. K. Ramchandran and M. Vetterli, "Best wavelet packet bases in a ratedistortion sense," IEEE Trans. Image Processing, vol. 2, pp. 160-176, Apr. 1993
14. C. Herley, J. Kovacevic, K. Ramchandran, and M. Vetterli, "Tilings of time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms," IEEE Trans. Signal Processing, Special Issue on Wavelets and Signal Processing, vol. 41, pp. 3341-3360, Dec. 1993
15. R. L. de Queiroz and K. R. Rao, "Time-varying lapped transforms and wavelet packets," IEEE Trans. Signal Processing, Special Issue on Wavelets and Signal Processing, vol. 41, pp. 3293-3305, Dec. 1993
16. I. Sodagar, K. Nayebi, and T. Barnwell, "A class of time-varying wavelet transforms," IEEE Trans. Signal Processing, vol. 42, pp. 2983-2996, Nov. 1994
17. A. Cohen, I. Daubechies, and P. Vial, "Wavelet bases on the interval and fast algorithms," J. Appl. Comput. Harmonic Anal., vol. 1, pp. 54-81, Dec. 1993
18. C. Herley and M. Vetterli, "Orthogonal time-varying filter banks and wavelet packets," IEEE Trans. Signal Processing, vol. 42, pp. 2650-2663, Oct. 1994
19. C. Herley, Z. Xiong, K. Ramchandran, and M. T. Orchard, "Joint space-frequency segmentation using balanced wavelet packets trees for least-cost image representation," to appear in IEEE Trans. Image Processing
20. C. Herley, Z. Xiong, K. Ramchandran, and M. T. Orchard, "An efficient algorithm to find a jointly optimal time-frequency segmentation using time-varying filter banks," in Proc. ICASSP'95, Detroit, MI
21. J. R. Smith and S.-F. Chang, "Frequency and spatially adaptive wavelet packets," Proc. ICASSP'95, Detroit, MI
22. C. M. Thiele and L. F. Villemoes, "A fast algorithm for adapted timefrequency tilings," J. Appl. Comput. Harmonic Anal., to be published
23. Z. Xiong, C. Herley, K. Ramchandran and M. T. Orchard, "Flexible time segmentations for time-varying wavelet packets," in Proc. IEEESP Int. Symp. Time-Frequency Time-Scale Anal., Philadelphia, PA, Oct. 1994, pp. 9-12
24. S. G. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Processing, Special Issue on Wavelets and Signal Processing, vol. 41, pp. 3397-3415, Dec. 1993
25. M. A. Sola and S. Salient, "Progressive orthogonal tilings of the time-frequency plane," Proc. SPIE, Visual Commun. Image Processing, Chicago, IL, Sept. 1994, vol. 2308, pp. 1112-1123
26. K. Asai, K. Ramchandran, and M. Vetterli, "Image representation using time-varying wavelet packets, spatial segmentation and quantization," in Proc. CISS, The Johns Hopkins University, Baltimore, MD, Mar. 1993
27. Y. Shoham and A. Gersho, "Efficient bit allocation for an arbitrary set of quantizers," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 1445-1453, Sept. 1988
28. D. P. Bertsekas, Dynamic Programming: Deterministic and Stochastic Models. Englewood Cliffs, NJ: Prentice-Hall, 1987
29. H. Guo, "Theory and applications of the shift-invariant, time-varying and undecimated wavelet transform," Master's thesis, Rice Univ., Houston, TX, May 1995
30. I. Witten, R. Neal, and J. Cleary, "Arithmetic coding for data compression," Commun. ACM, vol. 30, no. 6, pp. 520-540, 1987.