Gröbner bases and wavelet design
暂无分享,去创建一个
[1] Y. Meyer,et al. Wavelets and Filter Banks , 1991 .
[2] Jelena Kovacevic,et al. Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.
[3] M. Vetterli,et al. Time-varying filter banks and multiwavelets , 1994, Proceedings of IEEE 6th Digital Signal Processing Workshop.
[4] G. Plonka. Approximation order provided by refinable function vectors , 1997 .
[5] David Francis Walnut,et al. Wavelets: A Tutorial in Theory and Applications (Charles K. Chui, ed.) , 1993, SIAM Rev..
[6] C. Burrus,et al. Maximally flat low-pass FIR filters with reduced delay , 1998 .
[7] B. Alpert. A class of bases in L 2 for the sparse representations of integral operators , 1993 .
[8] Fred Mintzer,et al. Filters for distortion-free two-band multirate filter banks , 1985, IEEE Trans. Acoust. Speech Signal Process..
[9] Fabrice Rouillier,et al. Symbolic Recipes for Polynomial System Solving , 1999 .
[10] Roland Glowinski,et al. Computational science for the 21st Century , 1997 .
[11] C. Burrus,et al. Nonlinear Shrinkage of Undecimated DWT for Noise Reduction and Data Compression , 1995 .
[12] A. Ron,et al. Affine Systems inL2(Rd): The Analysis of the Analysis Operator , 1997 .
[13] I. Daubechies,et al. Regularity of refinable function vectors , 1997 .
[14] G. Strang,et al. Approximation by translates of refinable functions , 1996 .
[15] Jürgen Bierbrauer,et al. Construction of orthogonal arrays , 1996 .
[16] Martin Vetterli,et al. High-order balanced multiwavelets: theory, factorization, and design , 2001, IEEE Trans. Signal Process..
[17] Arjeh M. Cohen,et al. Some tapas of computer algebra , 1999, Algorithms and computation in mathematics.
[18] Fran e Abstra. Solving Some Overdetermined Polynomial Systems , 1999 .
[19] E. W. Ng. Symbolic and Algebraic Computation , 1979, Lecture Notes in Computer Science.
[20] Ivan W. Selesnick,et al. Iterated oversampled filter banks and wavelet frames , 2000, SPIE Optics + Photonics.
[21] C. Sidney Burrus,et al. Nonlinear processing of a shift-invariant discrete wavelet transform (DWT) for noise reduction , 1995, Defense, Security, and Sensing.
[22] I. Daubechies,et al. Framelets: MRA-based constructions of wavelet frames☆☆☆ , 2003 .
[23] Zuowei Shen,et al. An algorithm for matrix extension and wavelet construction , 1996, Math. Comput..
[24] Fabrice Rouillier,et al. Design of regular nonseparable bidimensional wavelets using Grobner basis techniques , 1998, IEEE Trans. Signal Process..
[25] George C. Donovan,et al. Construction of Orthogonal Wavelets Using Fractal Interpolation Functions , 1996 .
[26] I. Daubechies. Orthonormal bases of compactly supported wavelets , 1988 .
[27] V. Strela,et al. Construction of multiscaling functions with approximation and symmetry , 1998 .
[28] David A. Cox,et al. Ideals, Varieties, and Algorithms , 1997 .
[29] D. Donoho,et al. Translation-Invariant De-Noising , 1995 .
[30] Zuowei Shen. Affine systems in L 2 ( IR d ) : the analysis of the analysis operator , 1995 .
[31] Stéphane Mallat,et al. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..
[32] Gilbert Strang,et al. Short wavelets and matrix dilation equations , 1995, IEEE Trans. Signal Process..
[33] James L. Flanagan,et al. Digital coding of speech in sub-bands , 1976, The Bell System Technical Journal.
[34] Ralf Fröberg,et al. An introduction to Gröbner bases , 1997, Pure and applied mathematics.
[35] Ivan W. Selesnick,et al. Interpolating multiwavelet bases and the sampling theorem , 1999, IEEE Trans. Signal Process..
[36] D. Hardin,et al. Fractal Functions and Wavelet Expansions Based on Several Scaling Functions , 1994 .
[37] Ivan W. Selesnick,et al. Multiwavelet bases with extra approximation properties , 1998, IEEE Trans. Signal Process..
[38] C. Chui. Wavelets: A Tutorial in Theory and Applications , 1992 .
[39] Fabrice Rouillier,et al. Solving Zero-Dimensional Systems Through the Rational Univariate Representation , 1999, Applicable Algebra in Engineering, Communication and Computing.
[40] S. Mallat. A wavelet tour of signal processing , 1998 .
[41] Robert Bregovic,et al. Multirate Systems and Filter Banks , 2002 .
[42] Martin Vetterli,et al. Wavelets and filter banks: theory and design , 1992, IEEE Trans. Signal Process..
[43] C. Chui,et al. Compactly supported tight and sibling frames with maximum vanishing moments , 2001 .
[44] I. Selesnick. Smooth wavelet tight frames with zero moments: Design and properties , 2000 .
[45] Ivan W. Selesnick. Balanced multiwavelet bases based on symmetric FIR filters , 2000, IEEE Trans. Signal Process..
[46] Martin Vetterli,et al. Gröbner Bases and Multidimensional FIR Multirate Systems , 1997, Multidimens. Syst. Signal Process..
[47] Jean-Charles Faugère,et al. Efficient Computation of Zero-Dimensional Gröbner Bases by Change of Ordering , 1993, J. Symb. Comput..
[48] J. Faugère. A new efficient algorithm for computing Gröbner bases (F4) , 1999 .
[49] Hal Schenck,et al. Computational Algebraic Geometry , 2003 .
[50] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .
[51] C. Chui,et al. A study of orthonormal multi-wavelets , 1996 .
[52] R. Jia,et al. Approximation by multiinteger translates of functions having global support , 1993 .
[53] Albert Cohen,et al. Biorthogonal wavelets , 1993 .
[54] T. Barnwell,et al. A procedure for designing exact reconstruction filter banks for tree-structured subband coders , 1984, ICASSP.
[55] Dong Wei,et al. Generalized coiflets with nonzero-centered vanishing moments , 1998 .
[56] Martin Vetterli,et al. Balanced multiwavelets theory and design , 1998, IEEE Trans. Signal Process..
[57] C. Burrus,et al. Noise reduction using an undecimated discrete wavelet transform , 1996, IEEE Signal Processing Letters.
[58] C. Burrus,et al. Introduction to Wavelets and Wavelet Transforms: A Primer , 1997 .
[59] Olivier Rioul,et al. A discrete-time multiresolution theory , 1993, IEEE Trans. Signal Process..
[60] C. Chui,et al. Compactly supported tight frames associated with refinable functions , 2000 .
[61] C. Sidney Burrus,et al. Nonlinear Processing of a Shift Invariant DWT for Noise Reduction , 1995 .
[62] David K. Ruch,et al. On the Support Properties of Scaling Vectors , 1996 .