Symmetric Multiwavelet Frames with General Lattice

Xin Cheng Zhang

doi:10.4028/www.scientific.net/AMR.709.650

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 709Symmetric Multiwavelet Frames with General Lattice

Symmetric Multiwavelet Frames with General Lattice

Abstract:

The multiwavelet has more desired properties than any single wavelet, such as short support, symmetry, and smoothness. In this paper, symmetric multiwavelet frames with general lattice and with any symmetric points are constructed from multiwavelet frames given. The existing result is generalized to the case of general lattice.

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Periodical:

Advanced Materials Research (Volume 709)

Pages:

650-653

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.709.650

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Online since:

June 2013

Authors:

Xin Cheng Zhang

Keywords:

Frames, General Lattice, Multiwavelet Frames

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References

[1] R. Duffin, A. Schaeffer, A class of nonharmonic Fourier series. Trans. Amer. Math. Soc., Vol.(1952), pp.341-366.

DOI: 10.1090/s0002-9947-1952-0047179-6

Google Scholar

[2] I. Daubechies, A. Groddmann, Y. Mayer, Painless nonorthogonal expansions, J. Math. Phys., Vol. (1986), pp.1271-1283.

Google Scholar

[3] P. Casazza, J. Kovacevic, J. Kelner, Equal-norm tight frames with erasures, Adv. Comput. Math., Vol.(2003), pp.387-430.

Google Scholar

[4] V. Goyal, J. Kovacevic, J. Kelner, Quantized frames expansions with erasures. Appl. Comput. Harmon. Anal., Vol. (2001), pp.203-233.

Google Scholar

[5] B. Hassibi, B. Hochwald, A. Shokrollahi, W. Sweldens, Representation theory for high-rate multiple-antenna code design, IEEE Trans. Inform. Theory, Vol. (2001), pp.2335-2367.

DOI: 10.1109/18.945251

Google Scholar

[6] I. Daubechies, Ten Lectures on Wavelets, in: CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61, SIAM, Philadelphia, 1992.

DOI: 10.1006/jath.1994.1093

Google Scholar

[7] I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., Vol. (1988), pp.909-996.

DOI: 10.1002/cpa.3160410705

Google Scholar

[8] S. Mallat, A theory for multiresolution signal decomposition; the wavelet representation, IEEE trans. on PAMI, Vol. (1989), pp.674-693.

DOI: 10.1109/34.192463

Google Scholar

[9] K. Grochenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, MA, 2001.

Google Scholar

[10] S. Goh, Z. Lim, Z. Shen, Symmetric and antisymmetric tight wavelet frames, Appl. Comput. Harmon. Anal., Vol. (2006), pp.411-421.

DOI: 10.1016/j.acha.2005.09.006

Google Scholar