Padé table, continued fraction expansion, and perfect reconstruction filter banks

IEEE Transactions on Signal Processing

Volumn 44, Issue 8, 1996, Pages 1955-1963

  Khansari, Masoud R K ^a,c   Dubois, Eric ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b HEWLETT PACKARD LABORATORIES   (United States)

^c INRS EMT   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FREQUENCY RESPONSE; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS;

CONTINUED FRACTION EXPANSIONS; PADE TABLE; PERFECT RECONSTRUCTION FILTER BANKS;

DIGITAL FILTERS;

EID: 0030212346     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.533716     Document Type: Article

References (15)

1. G. A. Baker, Jr., Essentials of Padé Approximants. New York: Academic, 1975.
2. G. A. Baker, Jr., P. Graves-Morris, and P. A. Carruthers, Padé approxiruants. Part I: Basic theory, in Encyclopedia of Mathematics and Its Applications, vol. 13. New York: Addison Wesley, 1981.
3. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
4. A. C. M. Kalker and I. Shah, On ladder structures and linear phase condition for multidimensional bi-orthogonal filter banks, IEEE Trans. Signal Processing, to be published.
5. M. Khansari and A. Leon-Garcia, Subband decomposition of signals with generalized sampling, IEEE Trans. Signal Processing, vol. 41, pp. 3365-3376, Dec. 1993.
6. L. Lorentzen and H. Waadeland, Continued fractions with applications, in Studies in Computational Mathematics 3. Amsterdam, The Netherlands: North-Holland, 1992.
7. A. Magnus, Certain continued fractions associated with the Fade table, Math. Zeit., vol. 78, pp. 361-374, 1962.
8. A. Magnus, Expansion of power series into P-fractions, Math. Zeit., vol. 80, pp. 209-216, 1962.
9. S. Mallat, A theory of multi-resolution signal decomposition: the wavelet representation, IEEE Trans. Patt. Anal. Machine Intell., vol. 11, pp. 710-732, July 1989.
10. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1993.
11. _, Multirate digital filters, filter banks, polyphase networks, and applications: A tutorial, Proc. IEEE, pp. 56-93, Jan. 1990.
12. M. Vetterli and J. Kovačevié, Wavelets and Subband Cuding. Englewood Cliffs, NJ: Prenlice-Hall, 1995.
13. M. Vetterli and D. J. LeGall, Perfect reconstruction FIR filter banks: Some properties and factorizations, IEEE Trans. Acoust. Speech, Signal Processing, vol. 37, pp. 1057-1071, July 1989.
14. M. Vetterli and C. Herley, Wavelets and filter banks: theory and design, IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
15. E.C. Titchmarsh, The Theory of Functions. 2nd. ed. New York: Oxford Univ. Press, 1986.