Systematic Construction of Real Lapped Tight Frame Transforms.

Systematic Construction of Real Lapped Tight Frame Transforms.
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真实搭接紧框架变换的系统构建。

DOI:
10.1109/tsp.2010.2041865
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发表时间:
2010
期刊:
IEEE transactions on signal processing : a publication of the IEEE Signal Processing Society
影响因子:
--
通讯作者:
Püschel,Markus
Püschel,Markus
中科院分区:
--
文献类型:
--
作者:
Sandryhaila,Aliaksei;Chebira,Amina;Milo,Christina;Kovčcević,Jelena;Püschel,Markus

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本文给出了一个构造性的算法来设计真实的重叠等范数紧框架变换。这些变换可以通过滤波器组有效地实现,并且最近被提出作为重叠正交变换的冗余对应物,以及谐波紧框架的无限维对应物。建议的建设包括两个部分:第一,我们设计了一个大类的新的真实的重叠正交变换的离散傅立叶变换的子矩阵。然后,我们种子这些获得真实的重叠紧框架变换对应的紧,等范框架。我们确定这些帧是最大限度地鲁棒擦除,并表明,我们的建设导致了一大类新的重叠正交变换以及新的重叠紧帧变换。
We present a constructive algorithm for the design of real lapped equal-norm tight frame transforms. These transforms can be efficiently implemented through filter banks and have recently been proposed as a redundant counterpart to lapped orthogonal transforms, as well as an infinite-dimensional counterpart to harmonic tight frames. The proposed construction consists of two parts: First, we design a large class of new real lapped orthogonal transforms derived from submatrices of the discrete Fourier transform. Then, we seed these to obtain real lapped tight frame transforms corresponding to tight, equal-norm frames. We identify those frames that are maximally robust to erasures, and show that our construction leads to a large class of new lapped orthogonal transforms as well as new lapped tight frame transforms.
DOI: 10.1111/j.1432-1033.1984.tb07980.x
发表时间: 1984
期刊: European journal of biochemistry
影响因子: --
作者:
Prakash,C;Katial,A;Kang,MS;Vijay,IK
通讯作者: Vijay,IK
哺乳期的荷尔蒙控制
DOI: 10.1007/978-3-642-81389-4
发表时间: 1980
期刊: Monographs on endocrinology
影响因子: --
作者:
A. T. Cowie;I. Forsyth;I. Hart
通讯作者: I. Hart