论文信息 - Two-channel multifilter banks and multiwavelets

Two-channel multifilter banks and multiwavelets

Systematic design methods for multifilters and multiwavelets are presented. Explicit formulae are given for aliasing cancellation in biorthogonal multifilter banks. The relationship with vector transforms over the real or finite fields is described.

T. Cooklev | A. Nishihara | M. Kato | M. Sablatash

[1] Gilbert Strang,et al. Short wavelets and matrix dilation equations , 1995, IEEE Trans. Signal Process..

[2] V. S. Dimitrov,et al. Number theoretic transforms over the golden section quadratic field , 1995, IEEE Trans. Signal Process..

[3] A. Cohen. Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61, I. Daubechies, SIAM, 1992, xix + 357 pp. , 1994 .

[4] D. Hardin,et al. Fractal Functions and Wavelet Expansions Based on Several Scaling Functions , 1994 .

[5] Dante C. Youla,et al. Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle , 1978 .

[6] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .

[7] Weiping Li,et al. Image coding using vector filter bank and vector quantization , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[8] Todor Cooklev,et al. Regular perfect-reconstruction filter banks and wavelet bases , 1995 .

[9] Weiping Li. Vector transform and image coding , 1991, IEEE Trans. Circuits Syst. Video Technol..

[10] Wayne Lawton,et al. Applications of complex valued wavelet transforms to subband decomposition , 1993, IEEE Trans. Signal Process..