Abstract
For years, electronic engineering has donated pagers and paging services for families waiting for an organ donation. Electronic engineering is considered at the same level as electrical engineering, so that general programs are called electrical and electronic engineering. The existence of orthogonal vector-valued trivariate wavelets is discussed. A necessary and sufficient condition is presented by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. A constructive method for designing a sort of orthogonal vector-valued wavelets with short support is proposed, and their properties are investigated.
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References
Zhang, N., Wu, X.: Lossless of color masaic images. IEEE Trans. Image Delivery 15(6), 1379–1388 (2006)
Efromovich, S., et al.: Data-Diven and Optimal Denoising of a Signal and Recovery of its Derivation Using Multiwavelets. IEEE Trans. Signal Processing 52(3), 628–635 (2004)
Shen, Z.: Nontensor product wavelet packets in L 2(R s). SIAM Math. Anal. 26(4), 1061–1074 (1995)
Xia, X.G., Suter, B.W.: Vector-valued wavelets and vector filter banks. IEEE Trans. Signal Processing 44(3), 508–518 (1996)
Chen, Q., Huo, A.: The research of a class of biorthogonal compactly supported vector-valued wavelets. Chaos, Solitons & Fractals 41(2), 951–961 (2009)
Chen, Q., Shi, Z.: Construction and properties of orthogonal matrix-valued wavelets and wavelet packets. Chaos, Solitons & Fractals 37(1), 75–86 (2008)
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Huang, R., Duan, Z. (2013). A Method for Designing Orthogonal Trivariate Wave-Functions and Applications in Electronic Engineering. In: Jin, D., Lin, S. (eds) Advances in Mechanical and Electronic Engineering. Lecture Notes in Electrical Engineering, vol 178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31528-2_37
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DOI: https://doi.org/10.1007/978-3-642-31528-2_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31527-5
Online ISBN: 978-3-642-31528-2
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