A Study of Binary Minimum-Energy Shortly Supported Wavelet Frames Associated with a Scaling Function
Frames have become the focus of active research field, both in theory and in applications. In the article, the binary minimum-energy wavelet frames and frame multiresolution resolution are introduced. A precise existence criterion for minimum-energy frames in terms of an ineqity conditi- -on on the Laurent poly-nomial symbols of the filter functions is provided. An explicit formula for designing minimum-energy frames is also established. The sufficient condition for the existence of affine pseudoframes is obtained by virtue of a generalized multiresolution analysis. The pyramid de -composition scheme is established based on such a generalized multiresolution structure.
Helen Zhang, Gang Shen and David Jin
Q. J. Chen and G. Hu, "A Study of Binary Minimum-Energy Shortly Supported Wavelet Frames Associated with a Scaling Function", Advanced Materials Research, Vols. 219-220, pp. 500-503, 2011