Abstract
Frames have become the field of active research, both in theory and in applications. In the work, the notion of quarter- nary affine pseudoframes is introduced and the notion of a quart-ernary generalized multiresolution structure (GMRS) is introduced. An approach for designing one GMRS of Paley-Wiener subspaces of L 2 (R 4) is provided. The sufficient condition for the existence of a sort of affine pseudoframes with filter banks is obtained by virtue of a generalized multiresolution structure. The pyramid decomposition scheme is obtained based on such a generalized multiresolution structure. A method for designing a sort of affine quarternary dual frames in four-imensional space is proposed.
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Lu, Q. (2012). The Characters of Multiple Affine Quarternary Frames with Quarternary Filter Functions. In: Wu, Y. (eds) Advanced Technology in Teaching - Proceedings of the 2009 3rd International Conference on Teaching and Computational Science (WTCS 2009). Advances in Intelligent and Soft Computing, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11276-8_4
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DOI: https://doi.org/10.1007/978-3-642-11276-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11275-1
Online ISBN: 978-3-642-11276-8
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