The fractional spline wavelet transform: Definition end implementation

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 1, Issue , 2000, Pages 512-515

  Blu, Thierry ^a   Unser, Michael ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION; POLYNOMIAL APPROXIMATION; SIGNAL PROCESSING; ALGORITHMS; APPROXIMATION THEORY; FAST FOURIER TRANSFORMS; POLYNOMIALS; WAVELET TRANSFORMS; WHITE NOISE;

B SPLINES; FRACTIONAL DIFFERENTIATORS; FRACTIONAL ORDER; FRACTIONAL WAVELET TRANSFORMS; SCALING FUNCTIONS; SPLINE TRANSFORMS; SPLINE WAVELETS;

WAVELET TRANSFORMS; SIGNAL FILTERING AND PREDICTION;

FRACTIONAL SPLINE WAVELET TRANSFORM; ORTHONORMAL FRACTIONAL SPLINE WAVELET FILTER; SIGNAL ANALYSIS; SIGNAL COMPRESSION;

EID: 0033676849     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2000.862030     Document Type: Conference Paper

References (6)

1. M. Unser and T. Blu, "Construction of fractional spline wavelet bases, " in Proc. SPIE "Wavelets Applications in Signal and Image Processing VII", Denver, CO, 1999, vol. 3813.
2. M. Unser and T. Blu, "Fractional splines and wavelets, " SIAM Review, 1999, To appear.
3. S. Mallat, "A theory for multiresolution signal decomposition: The wavelet decomposition, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 11, no. 7, pp. 674-693, July 1989.
4. Y. Meyer, "Orthonormal wavelets, " in Wavelets, Time-Frequency Methods and Phase Space, J. M. Combes, Ed., pp. 21-37. Springer, 1989.
5. S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, San Diego, CA, 1998.
6. G. Strang and T.Q. Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, Cambridge MA, 1996.