On Existence of Matrix-Valued Wavelets

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Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, we investigate the existence of matrix-valued wavelet associated with a matrix-valued multireslution analysis. By using operator polar decomposition, we provide a new proof for the existence of matrix-valued wavelets. We prove that, like in the scalar case, every matrix-valued multiresolution analysis guarantees the existence of an orthogonal matrix-valued wavelet.

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Periodical:

Advanced Materials Research (Volumes 282-283)

Edited by:

Helen Zhang and David Jin

Pages:

153-156

Citation:

B. M. Yu "On Existence of Matrix-Valued Wavelets", Advanced Materials Research, Vols. 282-283, pp. 153-156, 2011

Online since:

July 2011

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$38.00

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