Orthonormal wavelets with simple closed-form expressions

IEEE Transactions on Signal Processing

Volumn 46, Issue 8, 1998, Pages 2248-2251

  Walter, G G ^a   Zhang, J ^b  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b University of Wisconsin Milwaukee   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDPASS FILTERS; DIGITAL COMMUNICATION SYSTEMS; INTERSYMBOL INTERFERENCE; LOW PASS FILTERS; POLYNOMIALS; WAVELET TRANSFORMS;

DISCRETE WAVELET TRANSFORMS; LEMARIE-MEYER WAVELETS; ORTHONORMAL WAVELETS;

SIGNAL PROCESSING;

EID: 0032139374     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.705452     Document Type: Article

References (10)

1. S. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 674-693, July 1989
2. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992
3. Y. Meyer, Wavelets: Algorithms and Applications. Philadelphia, PA: SIAM, 1993, translated by R. D. Ryan
4. -, Ondelettes et Operateurs. Paris, France: Hermann, 1990; English translation: Wavelets and Operators. Cambridge, U.K.: Cambridge University Press, 1992, translated by D. H. Salinger
5. G. Walter, "Translation and dilation invariance in orthogonal wavelets," Appl. Comput. Harmon. Anal. 1, pp. 344-349, 1994
6. J. G. Proakis, Digital Communications, 3rd ed. New York: McGrawHill, 1995
7. J. Zhang and G. Walter, "A KL-like expansion for wide sense stationary random processes via a wavelet basis," IEEE Trans. Signal Processing, vol. 42, pp. 1737-1745, July 1994
8. I. Daubechies, "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inform. Theory, vol. 36, pp. 961-1005, Sept. 1990
9. G. G. Walter and J. Zhang, "Orthonormal wavelets with simple closedform expressions," Tech. Rep., Univ. Wisconsin, Milwaukee, Elect. Eng. Comput. Sei. Dept., June 1996
10. W. W. Jones, "A unified approach to orthogonally multiplexed communications using wavelet basis and digital filter banks," Ph.D. dissertation, University of Ohio, Athens, Aug. 1994.