Systematic Construction of Real Lapped Tight Frame Transforms.
Systematic Construction of Real Lapped Tight Frame Transforms.
复制标题
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:
影响因子:
--
通讯作者:
Püschel,Markus
中科院分区:
文献类型:
--
作者:
Sandryhaila,Aliaksei;Chebira,Amina;Milo,Christina;Kovčcević,Jelena;Püschel,Markus
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
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